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A computer-based support system for cooperative tasks in nursing homes

Abstract

Different studies have shown the benefits of a cooperative activities programme for the elderly. Members of a group with similar abilities or disabilities are often encouraged by having the opportunity to share their experiences, knowledge, or opinions. Nevertheless, when caregivers try to plan specific cooperative activities, different aspects, as the individual needs of each person, should be taken into account, which notably increases the complexity of that planification. This paper proposes a computerbased support tool for recreational therapists which facilitates the management task of grouping elderly people into cooperative groups for existing activities. To do this, an iterative learning process is proposed allowing the formation of proper distributions of elderly people into activities. Alberola, J.M.; Del Val, E.; Costa, A.; Novais, P.; Julián, V.

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A computer-based support system for cooperative tasks in nursing homes

Author: Alberola, J.M.; Del Val, E.; Julián, V.; Costa, A.; Novais, P.
Year: 2019
DOI: 10.2991/ijcis.d.190613.001
Source: https://zaguan.unizar.es/record/99322/files/texto_completo.pdf
In e na ional Jou nal o Compu a ional In elligence Sys ems
Vol. 12(2), 2019, pp. 661–675
DOI: h ps://doi.o g/10.2991/ijcis.d.190613.001; ISSN: 1875-6891; eISSN: 1875-6883
h ps://www.a lan is-p ess.com/jou nals/ijcis/
A Compu e -Based Suppo Sys em o Coope a i e Tasks
in Nu sing Homes
Juan M. Albe ola1,3, Elena del Val4, Angelo Cos a2, Paulo No ais2, Vicen e Julián1,*
1Depa amen o de Sis emas In o má icos y Compu ación (DSIC), Uni e si a Poli ècnica de València, València, Spain
2ALGORITMI Cen e , Uni e si y o Minho, B aga, Po ugal
3Flo ida Uni e si à ia, Ca a oja, Spain
4Uni e sidad de Za agoza, Te uel, Spain
ARTICLE INFO
A icle His o y
Recei ed 12 No 2018
Accep ed 13 May 2019
Keywo ds
Compu e -based suppo ool
G oup o ma ion
IT Applica ions in Heal h Ca e
Coali ion s uc u e
Coope a i e g oups
A B S T R A C T
Di e en s udies ha e shown he bene i s o a coope a i e ac i i ies p og amme o he elde ly. Membe s o a g oup wi h sim-
ila abili ies o disabili ies a e o en encou aged by ha ing he oppo uni y o sha e hei expe iences, knowledge, o opinions.
Ne e heless, when ca egi e s y o plan speci ic coope a i e ac i i ies, di e en aspec s, as he indi idual needs o each pe son,
should be aken in o accoun , which no ably inc eases he complexi y o ha plani ica ion. This pape p oposes a compu e -
based suppo ool o ec ea ional he apis s which acili a es he managemen ask o g ouping elde ly people in o coope a i e
g oups o exis ing ac i i ies. To do his, an i e a i e lea ning p ocess is p oposed allowing he o ma ion o p ope dis ibu ions
o elde ly people in o ac i i ies.
©2019 The Au ho s. Published by A lan is P ess SARL.
This is an open access a icle dis ibu ed unde he CC BY-NC 4.0 license (h p://c ea i ecommons.o g/licenses/by-nc/4.0/).
1. INTRODUCTION
G oup wo k is a widely used modali y o wo k among olde peo-
ple o achie e di e en objec i es such as (i) socializa ion he apy,
educa ion, and ec ea ion, (ii) se ice and ad ocacy, (iii) suppo ,
(i ) he apy, and ( ) amily ca e and ca e-gi e assis ance. This ype
o wo k g ea ly imp o es he social in e ac ion and adap a ion o
he elde ly. Coope a i e ac i i ies play a signi ican ole in nu sing
homes as hey help elde ly home esiden s o adap o a new way o
li e. These ac i i ies a e essen ial o p og essi ely achie e he apeu-
ic, educa ional, o social goals in se ings such as hospi als, elde -
ca e cen e s, nu sing homes, and social o ganiza ions.
One o he esul s ob ained h ough pa icipa ion in coope a i e
ac i i ies is he achie emen o a sense o accomplishmen and he
oppo uni y ha elde ly home esiden s ha e o de elop hei skills,
which p o ides hem wi h an imp o emen in sel -es eem and sa -
is ac ion [1]. Nu sing homes and mo e speci ically ca egi e s ha
wo k in hese ins i u ions ha e o ca y ou an ac i i y planning
whe e he cha ac e is ics o he po en ial pa icipan s (i.e., he esi-
den s) should be conside ed. These cha ac e is ics a e he physical
abili ies, social ela ions, an eceden s, and in e es s o he esiden s.
In gene al, in mos scena ios, he social in e ac ion ha is gene -
a ed in coope a i e ac i i ies is mo e impo an han he ac i i y
i sel [1].
*Co esponding au ho . Email: [email protected] .es
Ne e heless, only a ew wo ks ha e ied o analyze which is he
bes way o o ganize olde people in o ac i i y g oups. Typically,
g oups a e andomly o med o o ganized by he ca egi e s ha use
hei common sense. Membe s o a g oup wi h simila abili ies a e
o en encou aged o sha e hei li e expe ience, knowledge, and gen-
e al iews and opinions wi h hei pee s and ca e s.
The ec ea ional he apis has a g ea challenge in planning ac i i-
ies o esiden s. This challenge consis s on dis ibu ing esiden s
in he di e en ac i i ies in he mos app op ia e way (i.e., phys-
ical and cogni i e capaci ies o he esiden s co espond o hose
equi ed in he ac i i ies) [2–4]. In o de o each he expec ed goals
h ough coope a i e ac i i ies, ec ea ional he apis s also ha e o
wo k oge he wi h he esidence nu sing s a . Nu sing s a helps
he ec ea ional he apis o selec he ac i i y ha will be mos ben-
e icial o he needs o each indi idual esiden .
1.1. Ques ionnai e
This wo k was alida ed by wo ke s o dayca e cen e s in he no h-
e n a ea o Po ugal, like he Cen o Social I mandade de S. To ca o.
The alida ion was pe o med h ough a ques ionnai e ha was
done o he ca egi e s ( egis e ed nu ses and medical pe sonnel),
iden i ying hei needs and expec ed esul s o helping ools. Two
ques ionnai es we e esponded by 12 pe sons, one be o e he ool
was p esen ed o hem, being used as a equi emen s analysis; and
he o he ques ionnai e was pos -ope a ion o he ool, p o iding a
Pd _Folio:661
662 J.M. Albe ola e al. / In e na ional Jou nal o Compu a ional In elligence Sys ems 12(2) 661–675
alida ion o he ope a ion. The ques ionnai e was designed simple
and using mos o he ime Like scales o ep esen he esponses
o he ques ioned people. This educes he sp eading o he possible
esponses and linea izes he a ained alues.
In Table 1, we con i m ha mos o he dayca e cen e s con ac ed
ha e some kind o compu e so wa e ha acks he esiden s in o -
ma ion. The ype o in o ma ion ha i is a ailable is unknown, bu
a he leas he e is a basic knowledge abou who a e he clien s o he
dayca e cen e . Table 1also shows ha all he ques ionnai e pa ici-
pan s know how o ope a e a compu e , hus a echnological ba ie
does no exis .
In Figu e 1, he opinions a e dis ibu ed be ween a social se ice
echnician and a social assis an , while he es o opinions we e
a ibu ed o he amily o o he s, meaning ha he wo ke s eel ha
he amily should ha e a say in he planning o he ac i i ies. In his
speci ic en i onmen , he social se ice echnician has a ank abo e
he social assis an and has mo e expe ise abou he ac i i ies and
hei impac o he use s. The e o e, i is implied ha mos o he
ques ionnai e pa icipan s belie e ha he ask o scheduling ac i -
i ies should be pe o med by a highly quali ied pe son. Fou people
ha e chosen no o pa icipa e on his ques ion.
In he esponse o Figu e 2 he esponden s ha e educed he impo -
ance o ac i i ies planning, pu ing his ask as only mode a ely
impo an .
Figu e 3p esen s he amoun o collabo a ion he esiden s do on
he ac i i y planning. This means ha he pe son ha is in cha ge o
he planning knows ha he opinion o he people ha pe o m he
ac i i ies ma e , and ha ing hem choosing he nex ac i i y esul s
Table 1 Usage o compu e sys ems.
Yes (%) No (%)
Is he e an in o ma ion sys em whe e
esiden s’ da a and ac i i ies a e s o ed?
91.7 8.3
Do you eel com o able wo king wi h
compu e s?
100 0
Figu e 1 In you opinion, wha is he p o essional p o ile ha he
pe son esponsible o ca ying ou planning ac i i ies should ha e?
Figu e 2 How would you classi y he s a emen : “Is ac i i y
planning a big p oblem a esidencies?”
on he inc ease o happiness le el. The e o e, he pe sonali y and
likes o he esiden s play an impo an pa in ac i i ies planning.
Al hough he ques ionnai e esponden s ha e a i med ha he
planning o ac i i ies do no ha e a c i ical impo ance, hey ehe-
men ly a i m ha hey would like a ool ha helps hem in ac i i-
ies planning, showed in Figu e 4.
In Table 2 he esponden s ha e showed a clea endency o spend
la ge amoun s o ime (o e 1 hou ) dedica ed o planning ac i i ies,
hus i is clea ha i is a ele an ask on he dayca e ope a ion.
In his ques ionnai e he pe sonal opinion o he ca egi e s was also
measu ed. This measu es p o ides a be e insigh o he planning
ask and how he ca egi e eels abou i . Fu he mo e, he pe sonal
expe ience is ga he ed, being i al o unde s and wha a e he ele-
an esiden ’s ea u es o ake in o accoun in he ool.
In Table 3 he esponden s di ide hei opinion in h ee opics, being
one common c i ical issue is he economic means a ailable. I is
clea ha wi hou unding he dayca e cen e s a e limi ed o asks
ha hey ha e he means o o ganize, hus he e is a high le el o
ac i i ies epe i ion.
In Figu e 5i is clea ha he ac i i ies a e limi ed by he budge
bu o pe o m ac i i ies he e is no he need o ha e a la ge bud-
ge . Like s a ed be o e, he lack o esou ces limi he a ie y o he
ac i i ies. This ac o may lead he esiden s o momen s o bo e-
dom and incompliance.
Figu e 3 How much do esiden s collabo a e in he selec ion o
ac i i ies?
Figu e 4 Do you ind i in e es ing o ha e a ool o help you
plan ac i i ies?
Table 2 How much ime akes o plan a
g oup ac i i y, accoun ing he esiden s’
in e es s and limi a ions?
<1 hou 25%
1 o 4 hou s 60%
4 o 8 hou s 0%
>8 hou s 15%
Pd _Folio:662
J.M. Albe ola e al. / In e na ional Jou nal o Compu a ional In elligence Sys ems 12(2) 661–675 663
Table 3 Wha ac o s no ela ed o esiden s a e aken in o accoun
when planning ac i i ies?
S a , ime, and means 71.6%
Economic a ailabili y and ac i i ies ha go
agains he p e e ence o all pa icipan s
14.2%
Economic a ailabili y, accessibili y,
a ailabili y, and swimming ac i i ies
14.2%
Figu e 5 Do you hink mone a y es ain s s ongly in luence
planning ac i i ies?
In Table 4, he esponden s do no belie e ha a he e ogeneous
g oup o people is impo an o an ac i i y, no hey a i m
ha simila people should be bundled oge he . Addi ionally, hey
a i m ha he esiden s should be inqui ed abou how hey el
abou he pe o med ac i i y, being he ca egi e s able o make
an in o med decision abou wha ac i i ies hey would like o
pe o m nex .
This ques ionnai e alida es ou ini ial idea abou he necessi y
o imp o e he o ganiza ion o olde people in o ac i i y g oups,
and he esponses highligh ea u es ha should be used on he
algo i hms. The social and wo k expe ience o he ques ionees a e
in aluable, and wi h his knowledge we a e able o build a decision
suppo sys em ha helps he ca egi e s o plan ac i i ies and make
g oups o people ha a e happy o pe o m hem.
This pape builds on a compu a ional eamwo k heo y o iden-
i y oppo uni ies o echnology o suppo he c ea ion and coo -
dina ion o g oups o ac i i ies ha enable and enhance exis ing
app oaches. Speci ically, he pape p oposes a ool o ec ea ional
he apis s and ca egi e s which acili a es he managemen ask o
g ouping elde ly people in o op imal g oups o exis ing ac i i ies.
The p oposed ool elies on he p o ile o he elde ly people, coali-
ional s uc u e gene a ion, and an i e a i e lea ning p ocess which
allows o ming p ope dis ibu ions o elde ly people in o ac i i-
ies. This ool should be used as a suppo sys em, being he esul s
supe ised by he ec ea ional he apis s and ca egi e s, hus alle-
ia ing he e o and ime ha hey dedica e o ac i i ies planning.
The es o he pape is s uc u ed as ollows: Sec ion 2p esen s
di e en p e ious wo ks ha y o analyze he bene i s o olde
adul s wi h ac i e pa icipa ion in di e en ypes o ac i i ies and
he impo ance o co ec ly iden i y g oups ha can pe o m spe-
ci ic ac i i ies. Sec ion 3analyses in de ail he p oblem ha we y
o sol e. Sec ion 4shows he p oposed model o g oup gene a ion.
Sec ion 5p esen s a case s udy. Sec ion 6desc ibes he expe imen s
and he p oposal alida ion, and, inally, in Sec ion 7some conclu-
sions a e exposed.
2. RELATED WORK
As s a ed abo e, he e a e some s udies ha show he sociologi-
cal connec ion be ween ac i e li e p omo ing ac i i ies and elde ly
people. In [5] a s udy is p esen ed analyzing how well-being can be
enhanced modi ying exe cise classes and inc easing pa icipa ion.
Mo eo e , in [6] he impo ance o physical exe cise in olde people
is s udied. The au ho s ied o p edic he le el o physical ac i i y
equi ed o ensu e ha a pe sons physical s a us was in he ange
be ween clinically a o able o heal hy.
O he s udies we e cen e ed in a speci ic ype o ac i i ies, like
leisu e ac i i ies. Leisu e pa icipa ion has been p o en o be ben-
e icial and has a posi i e link o success ul ageing, gene a ing a
g ea e in ol emen in leisu e ac i i ies. This in ol emen was asso-
cia ed wi h be e heal h in olde age [7]. The wo k p esen ed in
[8] showed how he p omo ion o ac i e pa icipa ion in di e si-
ied leisu e ac i i ies should also be emphasized in iew o he pos-
sibili y o g ea e bene i s gained om i s in ol emen . Mo eo e ,
[9] ema ks he impo ance o de eloping communi y-based p o-
g ams o acili a e physical ac i i ies o olde people wi h a ch onic
diseases.p
Undoub edly, he in luence o engagemen in men al, physical,
social, p oduc i e, and ec ea ional ac i i ies e ains, and in some
cases educes, he demen ia incidence in olde people [2]. Ene ge ic
ac i i ies ha in ol e men al o psychosocial componen s may ac
as s imuli o p ese e cogni ion [2].
Ano he impo an issue is he use o social ac i i ies by ca e-
gi e s. In o mal social ac i i y has accumula ed he mos e idence
o an in luence on well-being. In his sense, some s udies ha e ana-
lyzed he impo ance o he g oup o imp o e well-being. As an
example, he s udy p esen ed in [3] in es iga ed he capaci y o
g oup decision-making o build a sense o sha ed social iden i y
among elde ly ca e home esiden s and he eby inc ease hei social
engagemen , well-being, and cogni i e pe o mance. In he same
line, in [4] i was es ed how nu sing home popula ions engagemen
was highes among esiden s wi h adequa e unc ioning in ac i i ies
o daily li ing (ADL) and cogni ion.
The e a e se e al so wa e and ools, like AccuPoin Med and
Ca eVoyan , ha a e wi hin he elde ly ca e ealm bu a e only
Table 4 Planning con igu a ion opinion.
Ve y Impo an
(%)
Impo an (%) Mode a ly
Impo an (%)
Sligh ly
Impo an (%)
No Impo an
(%)
Do you hink i is impo an o mix people
wi h di e en cogni i e o physical
p oblems in hei ac i i ies?
16.7 16.7 41.7 8.3 16.7
A e he pa icipan s’ opinions abou each
ac i i y aken in o accoun when planning
he nex ac i i ies?
41.7 41.7 8.3 8.3 0
Pd _Folio:663
664 J.M. Albe ola e al. / In e na ional Jou nal o Compu a ional In elligence Sys ems 12(2) 661–675
designed o manage he ins i u ions and he s a , hus, no o man-
age he ac i i ies o ime o he ca e- ecei e s. The e o e, hey lack
he essen ial ea u es ha could enable he p o ision o he ac i e
aging pa adigm. The e a e also o he p ojec s di ec ed o he elde ly
and hei ca egi e s ha all unde he Ambien Assis ed Li ing
(AAL) domain such as [10–13]. AAL p ojec s p oduce sys ems and
p oduc s ha help i s’ use s o become independen and p o ides
aid on ADL’s, and a he same ime, c ea e a secu e and sa e en i-
onmen . The ocus is o imp o e he quali y o li e and s abilize he
heal h condi ion.
Mo eo e , we can ind speci ic so wa e and se ices which a e
di ec ed o p o essional ca egi e s, bu concen a e on p i a e com-
panies. This is he case o Home eam, Tabula P o so wa e, and
Sagely. These pla o ms show ha he e is a la ge in es men in
e ms o solu ions o moni o and ca e o elde ly people, whe he
hey a e a home o a esidencies. Mos o hem a e almos pu ely
adminis a i e, and easy he bu eauc a ic p ocess ha is keeping he
pe sonal heal h eco d upda ed as well as keeping ack o he ac i -
i ies and gene al well-being o he ca e- ecei e s. F om ou poin
o iew, i is clea ha hese applica ions equi e ha he ca egi e s
spend a la ge amoun o ime in e ac ing wi h hem and do no
ha e any au oma ed decision suppo sys em ha helps hem when
planning ac i i ies o de ec any decay o he ca e- ecei e s heal h
condi ion.
Howe e , he e a e no e y many s udies ha ocus on he key issue
o how o c ea e coope a i e g oups o elde ly, which is a ask ha
equi es a conside able amoun o ime o compose well-balanced
g oups (i.e., how o dis ibu e elde ly people in o ac i i ies in a way
ha all he people in each ac i i y sa is y he equi ed condi ions
o do i ). Mo e speci ically, when he e is a la ge numbe o olde
people and di e en g ouping c i e ia, he ask o o ming eams o
p omo e success ul ou pu s (i.e., well-being, engagemen and
in ol emen in he g oup) is conside ed an exponen ial p oblem.
Mo eo e , ac i i ies in g oups o eams can b ing posi i e and nega-
i e consequences (i.e., posi i e: social engagemen , well-being and
nega i e: lack o in e es , lack o mo i a ion, ense social con ex ),
making he ask o eam o ma ion a complex one. Se e al ac o s
like pe sonali y, heal h, and human beha io can in e e e wi h he
pe o mance o he g oup du ing an ac i i y [14]. The e o e, i is o
c ucial impo ance o iden i y g oups ha can pe o m co ec ly an
ac i i y.
The e a e a eas such as human esou ces managemen and collab-
o a i e lea ning whe e he p oblem o gene a ing g oups acco ding
o a se o p ede ined c i e ia (i.e., knowledge and expe ience, pe -
sonali y, lea ning/ hinking s yle) has been ho oughly s udied. In
hese a eas, compu a ional p oposals ha e been de eloped in o de
o au oma e he p ocess o g oup o ma ion in cases whe e i was
no manually iable. An example o au oma ion o he p ocess o
g oup o ma ion is p esen ed by Lin e al. [15]. The au ho s p esen
an algo i hm ha akes in o accoun wo c i e ia o he c ea ion
o lea ning g oups: he le els o unde s anding and he in e es s o
he s uden s. Ano he p oposal ha uses a compu a ional model
is p esen ed by Ca anaugh e al. [16]. The au ho s conside c i e-
ia such as gende , skills, and schedules o s uden s o au oma ic
gene a ion o g oups h ough a web ool. Wi e al. [17] p esen
a p oposal based on gene ic algo i hms whose goal is he gene -
a ion o g oups in R&D-o ien ed ins i u es. The algo i hm p o-
posed uses a uzzy model o collec in o ma ion abou candida es’
knowledge and expe ience on ce ain opics ela ed o a p ojec .
Ano he aspec conside ed by he algo i hm is he social ne wo k o
he candida es in o de o es ablish hei sui abili y o p ojec man-
agemen posi ions.
Taking in o accoun all o hese, as a as we know he e is no wo k
which ies o help ca egi e s o analyze how o g oup olde peo-
ple in o de o enhance ac i i y engagemen and well-being. Ou
p oposal p esen s a decision suppo ool ha gene a es a mo e
accu a e dis ibu ion o ca e- ecei e s o e ac i i ies. In o de o
gene a e he g oups o each ac i i y, he ool akes in o accoun ca e-
ecei e s’ physical s a e, ac i i y p e e ences, social ela ionships,
and p e ious ac i i ies al eady pe o med. A e each ac i i y, ca e-
ecei e s p o ide eedback abou he ac i i y (i.e., hei p e e ences)
and he ela ionships wi h o he membe s o he g oup. The ac i i y
is also added o hei his o ical ac i i y p o ile o a oid mono ony
o ac i i ies. As he numbe o ac i i ies pe o med inc eases (i.e.,
he e is mo e in o ma ion a ailable abou ca e- ecei e s), he ool
is able o lea n om his in o ma ion o imp o e he dis ibu ion o
ac i i ies ha be e i s wi h ca e- ecei e s’ expec a ions.
3. PROBLEM DESCRIPTION
Nu sing homes, and ins i u ions ha ca e o elde ly people, ha e
di icul ies in c ea ing an ha monious en i onmen ha can p o-
ide he equi ed a en ion ha hei ca e- ecei e s demand. Mos
o hese places y o p o ide an ac i e and heal hy li es yle by p o-
mo ing di e en coope a i e ac i i ies ha s imula e hem in e ms
o he physical and psychological aspec s. These ac i i ies can be
simple asks such as eading and able games o ad anced asks such
as dancing and hea e enac men , designed o engage wi h hem
and soo h hei likes.
The mos common issues highligh ed by he ca e- ecei e s a e he
lack o in e es ing and di e en ac i i ies and hei gene al disin-
e es [3,4]. These issues o igina e om ou elemen s: he lack o
ca egi e s [18], high numbe o physically and/o psychologically
challenged ca e- ecei e s [3,4], lack o e en s [19], and poo ac i -
i ies managemen [20].
In e ms o pe sonnel, mos o he Eu opean coun ies ha e es ab-
lished ules ha de ine he minimal pe sonnel ha ce i ied ins i-
u ions mus ha e [21], while some jus es ablish a social app oach
like “ha ing a numbe o people a ibu ed o each nu se ha is no
o e whelming”. Fo ins ance, Po ugal es ablishes he ollowing pe -
sonnel o esiden homes (whe e esiden s li e pe manen ly) [22]:
•A pa - ime social assis an (o ec ea ional he apis );
•One egis e ed nu se and an assis an o e e y 40
ca e- ecei e s;
•One nu sing assis an o e e y 8 ca e- ecei e s;
•A di ec ca e nu se o e e y 20 elde ly and nigh su eillance.
Es ablishmen s ha ca e o highly ulne able senio s equi e he
ollowing pe sonnel a io:
•A ull- ime social assis an (o ec ea ional he apis );
•A egis e ed nu se o e e y 20 elde ly;
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•A nu sing assis an o e e y 5 senio s;
•A di ec ca e nu se o e e y 15 elde ly.
These pe sonnel equi emen s a e he ba e minimum possible o
main ain a ha monious en i onmen while moni o ing he ca e-
ecei e s. The issue wi h his en i onmen is ha i lea es no space
o indi idual ca e and he numbe o ac i i ies ha can be pe -
o med become limi ed o ones ha a e include a la ge amoun o
people and ha a e easy o be moni o ed.
The lack o e en s and app op ia e planning means ha he ins i u-
ion does no p o ide plans ha a e indica ed o he ca e- ecei e s
and/o lack unding o hos complex ac i i ies ha equi e addi-
ional unding, o example, museum isi s.
Some o he ins i u ions ha e a ec ea ional he apis ha manages
he global and pe sonal asks ha c ea es ac i i ies plans acco ding
o he ins i u ion limi a ions (as s a ed be o e) and he use s likes.
Fu he mo e, he ac i i ies a e designed o be inclusi e, meaning
ha hey can se e a la ge amoun o people, being he issue ha a
la ge pa o hese ac i i ies may no be o he in e es o he ca e-
ecei e s, hus being emo ionally nega i e o hem. Meanwhile, he
ole o he ec ea ional he apis is c ucial as i coo dina es wi h
he egis e ed nu ses, nu sing assis an s, and di ec ca e nu ses he
immedia e needs and he likes o he use s, bu mos o he ime
he ac i i ies a e no op imized due o se e al social and mone a y
p oblems.
In ecen s udies [23,24] wo issues we e ou lined: he medical and
he o ganiza ional. Bo h equi e di e en le els o decision ha may
collide, acco ding o he ele ance and impac on he ca e- ecei e s
and on he ins i u ion. Focusing on he o ganiza ional issue, he e
a e h ee le els o ope a ion: he s a egic le el, he ac ical le el,
and he ope a ional le el. Each o hem has a g ea impac on he
ins i u ions ope a ions, being he ope a ional le el ans e sal o
he ca e- ecei e s, since i is ela ed o he human esou ces and ca e
ac i i ies scheduling p oblems, and daily in en o y managemen .
They e eal ha he numbe o cons ain s ( ela i e o he numbe
o human esou ces and he numbe o ac i i ies) di ec ly a ec s
he complexi y o achie ing an op imized solu ion (o i i is e en
achie able). [5] shows ha o main ain an ac i e li e, he elde ly
should pe o m ac i i ies ha concen a e in hei cogni ion, physi-
cal, and social li e. Also, ca e- ecei e s ha e esponded posi i ely o
he expe iences in he es s made in [5], and ha hey had imp o ed
he elde ly emo ional s a e e en i hey do no ha e ac i ely pa ic-
ipa ed in hose ac i i ies.
Bu he e is an issue in e ms o o ganizing a ious ac i i ies. The
Uni ed Na ions [25] ha e es ablished ha elde ly people (65 yea s
old and o e ) ha e medical, physical, and social equi emen s ha
a e no easy o be me . The e o e, mos o he ac i i ies ha day-ca e
cen e s do a e sa e and ha e a low physical impac . The issue is ha
he day-ca e esiden s equen ly epo high le els o dissa is ac ion
abou ac i i ies epe i i eness [3,4].
Accoun ing o all equi emen s o he ca e- ecei e s, law, en i on-
men al, and mone a y is complex and equi es esea ching all he
possible combina ions ha comply wi h he ha d and so equi e-
men s. Fo ins ance, i an ins i u ion wan s o o ganize a ip o a
museum i has o accoun o he ca e- ecei e s ha will be able o
go (acco ding o hei psychological and physical abili ies), i he e
is enough s a o ca e o hem, how can he ca e- ecei e s can be
pai ed (acco ding o hei social connec ion), wha ac i i ies can
be pe o med, among o he s equi emen s. Thus, he unde lying
di icul y unde mines he p omo ion o hese e en s and hei exe-
cu ion. The use o compu a ional sys ems ha may acili a e his
p ocess may p o ide he help ha he ins i u ions equi e o gi e
hei ca e- ecei e s joy ul ac i i ies and p omo e an ac i e li e and
ha monious en i onmen s.
These e idences we e ound on he esea ch p ocess o he Cogni-
i e Li e Assis an (CLA) [26,27]. The CLA is a cogni i e assis an
pla o m inse ed in an AAL en i onmen . The co e aim is o p o-
ide assis ance in ADL’s by p o iding in o ma ion abou he daily
e en s ha he use s ha e o pe o m, connec ing wi h ela i es and
iends and p omo ing he ac i e aging ini ia i e. I also suppo s
embedding ex e nal modules, such as use s emo ion de ec ion [28]
and pe suasion ecommenda ion [29].
On he de elopmen o ools o aid he ca egi e s ( ela i es, assis an
nu ses, egis e ed nu ses, o p i a e se ices companies) keep ack
o he e en s, whe eabou s, and heal h s a e o he ca e- ecei e s i
was ound ha he e was a se e e lack o o he solu ions o hem.
The ones ha exis ed we e managing ools designed o keep ack
o pe sonnel and accoun ing. One ou s anding complain om he
ca egi e s wi h mul iple ca e- ecei e s assigned was he lack o
g oups managemen . The e o e, g oup managing and mul iple peo-
ple e en s became one o he aims o he CLA.
The objec i e is o c ea e a solu ion ha can be easily in eg a ed
wi h he CLA and ha b idges he ask o g oup c ea ion and e en
choosing wi h he ca egi e s, elie ing he s ess o he ca egi e s.
Mo eo e , i will inc ease he ange o he CLA aid o he ca e-
ecei e s by p omo ing ac i i ies ha hey enjoy and wi h people
ha hey like. The ollowing sec ion shows he model needed o
achie e his.
4. PROPOSED MODEL
In his sec ion, we desc ibe ou policy o di iding ca e- ecei e s
in o g oups o pe o m ac i i ies each day du ing a pe iod o ime.
This policy elies on he p o iles o ca e- ecei e s (i.e., p e e ences,
heal h, iendship), he p o iles o ac i i ies, and he coali ion s uc-
u e gene a ion. Fi s , we desc ibe how di iding ca e- ecei e s in o
op imal g oup is equi alen o a Coali ion S uc u e Gene a ion
P oblem.
The Coali ion S uc u e Gene a ion p oblem e e s o pa i ioning
he componen s o a se in o exhaus i e and disjoin coali ions so
ha he global bene i s o he sys em a e op imized. In ou p oblem,
he componen s o he se a e he ca e- ecei e s ha ake pa in
coope a i e ac i i ies p oposed by a senio esidence cen e .
De ini ion 1. Le E={e1,...,en}be a se o ca e- ecei e s whe e
each indi idual eiis desc ibed by se o ea u es Fi ha desc ibes
his/he p o ile.
De ini ion 2. Le A={a1,...,am}be a se o ac i i ies planned o
a pe iod o ime (i.e., se e al weeks o mon hs depending on he
senio esidence cen e ). Each ac i i y is de ined by a se o equi e-
men s o being ca ied ou .
We de ine Gj∈Eas a subse o Ecalled g oup o indi iduals ha
pa icipa e in he same ac i i y. Conside ing a g oup Gj, i s alue
is gi en by a cha ac e is ic unc ion (Gj)∶ 2E→ ℝ ha assigns a
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666 J.M. Albe ola e al. / In e na ional Jou nal o Compu a ional In elligence Sys ems 12(2) 661–675
eal- alued payo o Gj. The alue o a g oup (Gj)is calcula ed as
a linea combina ion o p unc ions 𝜙 ha calcula e di e en ypes
o ma ching depending on di e en inpu pa ame e s (e.g., he ea-
u es o each indi idual, he speci ic ac i i y):
Func ion: 𝜙i
Inpu : p1,…,pl: lis o pa ame e s
Ou pu : : eal [0.. 1]
And he alue o a g oup (Gj)is calcula ed as ollows:
(Gj)=∑
ei∈Gj
𝛼1⋅ 𝜙1+ 𝛼2⋅ 𝜙2…+𝛼p⋅ 𝜙p. (1)
whe e each 𝛼i ep esen s a weigh associa ed o he unc ion 𝜙iin
o de o gi e mo e o less ele ance o his unc ion o he calcula-
ion o he alue o he g oup. Gi en all hese weigh s, he ollowing
p ope y mus be ul illed:
p
∑
i=1
𝛼i= 1.
De ini ion 3. Ag oup s uc u e S ={G1,G2,...,Gk}is a pa i ion o
g oups such ha ∀i,j(i≠j),Gj∩Gi= ∅, ∪
∀Gj∈SGj=E. The alue
o a g oup s uc u e is deno ed by (S), whe e (S)is an e alua ion
unc ion o he g oup s uc u e. In his wo k, we conside ha he
alue o each g oup is independen o o he g oups. The e o e, we
can calcula e he alue o he g oup s uc u e as (S)=∑
Gj∈S
(Gj).
The goal o he algo i hm ha sol es ou p oblem is o de e -
mine an op imal g oup s uc u e o he o ganiza ion o ac i i ies
a gmax
S∈2E
(S).
I u ns ou ha pa i ioning a se o elde ly indi iduals in o dis-
join g oups while op imizing a social wel a e unc ion co esponds
o he o maliza ion o coali ion s uc u e gene a ion p oblems. In
o de o sol e his p oblem, we o mally de ine he coali ion s uc-
u e gene a ion p oblem as a linea p og amming p oblem [30] and
sol e i wi h he comme cial so wa e ILOG CPLEX 12.5.
4.1. Wo k low
The p oposed model o di iding ca e- ecei e s in o g oups o pe -
o m ac i i ies based on coali ion o ma ion s a egy is he basis o
a so wa e applica ion. The main goal o his applica ion is o acil-
i a e he managemen ask o g ouping ca e- ecei e s in o op imal
g oups o ac i i ies. Du ing he planning o he ac i i ies o se -
e al mon hs in elde ca e cen e s, a ec ea ional he apis may ca y
ou se e al ac i i ies ha equi e he o ma ion o g oups. In his
sec ion, we desc ibe he gene al wo k low and he mos impo an
ea u es o he p oposed ool o gene a e coali ions o each ac i i y.
As a gene al ou line (Figu e 6), he applica ion elies on he p o ile
o he elde ly pe son, coali ion s uc u e gene a ion, and an i e a i e
lea ning p ocess o o m p ope assignmen s o elde ly people in o
ac i i ies in a pe iod o ime. In he ollowing pa ag aphs, we explain
how hese elemen s a e pu oge he o p o ide an adequa e web ool
o acili a ing he planning o se e al mon hs o ac i i ies o elde ly
(see Figu e 7).
The ool has been de eloped o be in eg a ed in web pla o ms,
whe e ac o s (i.e., ec ea ional he apis s and ca e- ecei e s) can
in e ac wi h he sys em. The s a ing poin o he applica ion co -
esponds wi h he ec ea ional he apis (o o he membe o he
nu sing s a ) ha will egis e all he ca e- ecei e s and hei phys-
ical p o iles in he sys em (1). Once all he po en ial pa icipan s
ha e been egis e ed in he sys em, he ec ea ional he apis c ea es
he a ailable ac i i ies du ing he planned season (i.e., his pe iod
could be se e al weeks o mon hs depending on he a ailabili y o
esou ces o he ac i i ies). The ec ea ional he apis ills ou all
he in o ma ion abou he ac i i ies (e.g., ac i i y desc ip ion, du a-
ion, physical equi emen s). Mo eo e , he ec ea ional he apis
should de e mine he numbe o ac i i ies and he numbe o peo-
ple pe ac i i y. No e, ha hese ini ial asks could be a oided i
he elde ca e cen e al eady has an In o ma ion Sys em ha s o es
in o ma ion abou esiden s and ac i i ies.
Conside ing all o his in o ma ion, he g oup o ma ion mech-
anism is eady o s a he au oma ic gene a ion o g oups o
ac i i ies o each day o he planned season. I i is he i s ime
Figu e 6 Wo k low o he decision suppo ool.
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J.M. Albe ola e al. / In e na ional Jou nal o Compu a ional In elligence Sys ems 12(2) 661–675 667
Figu e 7 Main page o he web applica ion o ac i i y g oup
gene a ion.
ha he ool akes as inpu a g oup o ca e- ecei e s, he e is no
eedback abou p e ious expe iences o he indi iduals (e.g., iend-
ships, p e e ences abou ac i i ies, his o ical ac i i y p o ile). The e-
o e, he ool only conside s he p o ile o he ca e- ecei e s, he
cha ac e is ics o he ac i i ies, he numbe o ac i i ies, and he
numbe o days o he planned season as inpu o he algo i hm
ha gene a es he g oups o he ac i i ies. O he wise, he algo i hm
can also conside in o ma ion p o ided by ca e- ecei e s as eed-
back om p e ious ac i i ies. As mo e ac i i ies a e pe o med by
he same popula ion, mo e in o ma ion will be a ailable abou hei
eedback. No e ha he ca egi e has he possibili y o modi ying
he weigh s o each o he ea u es conside ed o gene a e a sui able
alloca ion o indi iduals in ac i i ies. This ac allows he model o
adap o di e en scena ios. Then, he algo i hm will p o ide a sui -
able alloca ion o indi iduals in ac i i ies which will imp o e he
o e all sa is ac ion o he g oups (2). A his s age, he ca egi e has
he possibili y o modi y he sugges ed alloca ion o indi iduals in
ac i i ies acco ding o his/he p o essional c i e ia and expe ience
(3). Once he g oups a e c ea ed o pe o m an ac i i y, each indi-
idual is in o med (4).
When an ac i i y inishes, each pa icipan has he possibili y o log
in he applica ion in o de o p o ide eedback h ough a ques ion-
nai e. This ques ionnai e collec s in o ma ion abou his/he sa is-
ac ion ela ed o he ac i i y (e.g., i he/she conside s app op ia e
o upda e his/he p e e ences abou ac i i ies, and i he/she wan s
o upda e his/he ela ionship wi h he g oup membe s ha he/she
has in e ac ed wi h du ing he las ac i i y) (5). All his in o ma-
ion is s o ed in a da abase (6). I he pa icipan canno log in he
applica ion, he ca egi e in cha ge o he ac i i y can collec his
in o ma ion o ill he ques ionnai e. No e ha his in o ma ion is
op ional, he sys em does no equi e his in o ma ion o pe o m
he ac i i y planning, bu i p o ides mo e in o ma ion o a mo e
accu a e solu ion.
As new planning o ac i i ies is ca ied ou , new in o ma ion is ga h-
e ed and accumula ed so ha his in o ma ion can be used in u u e
g oup ac i i y assignmen s.
5. CASE STUDY
In his sec ion we p esen a Case S udy om a eal da ase . The es
subjec s we e c ea ed h ough he use o eal da a collec ed by a
Po uguese ins i u ion called Fundao Manuel F ancisco Clé igo and
p esen ed on hei annual epo (o 2015). Following, we desc ibe
how he da a was ins an ia ed by conside ing he model desc ibed
in Sec ion 4.
5.1. Speci ica ion
The da a ob ained was anonymized o he p o ec ion o he pa ic-
ipan s, hus keeping he esul s unbiased. F om he comple e in o -
ma ion abou he se e al housing and se ices ha he ins i u ion
has we ha e ocused on he pe manen esiden s. This decision was
done based on he di ec impac and he capabili y o comple e
moni o ing o he pa icipan s in u u e es s wi h eal subjec s.
Fu he mo e, hese subjec s a e he ones ha a e mo e exposed o
in e ac ions wi h he o he esiden s, as he mos o he ac i i ies
equi e ha hey pa icipa e. The epo is cons i u ed by he ol-
lowing in o ma ion:
•The gene al dis ibu ion and cha ac e is ics o he popula ion,
like he ollowing:
– Age and gende and hei dis ibu ion;
– Dis ibu ion o he diseases (wi hou ela ion o gende );
– Dis ibu ion o ac i i ies p e e ences;
– Physical esou ces and pe sonnel esou ces;
– Dependence le el o he pa icipan s (independen , pa ially
dependen , and ully dependen );
– Dis ibu ion o iendship ela ionships;
– Educa ion le el and o me p o ession.
•Planned ac i i ies acco ding o he dependence le el;
•Planned ac i i ies by mon h (one yea ).
•Execu ed ac i i ies mon hly (wi h da a o Janua y o Ap il).
Due o being anonymous, he in o ma ion was de ached om he
pa icipan s, hus we we e unable o co ela e he diseases, gende ,
age, and so on, wi h he speci ic pa icipan s. To ha e a da ase o
es subjec s a p ocedu e o co ela ion was implemen ed. This p o-
cedu e consis ed in aking he a ailable da a and co ela e andomly
he da a a ailable and gene a e pe sonas (a gene ic p ojec ion o
people). In e ms o associa ing diseases wi h he gene a ed pe -
sonas i was done by a andom p ocess wi h wo cons ains: depen-
dence le el and gende . Fo ins ance, i a speci ic use is classi ied
as independen no limi ing disease (like Alzheime ) is a ibu ed,
he same wi h mas ec omy ha was a ibu ed o he emale gende
(al hough i is possible o a male o su e his disease i is highly
imp obable, as mas ec omy epo s indica e). The p ocedu e was
pe o med in he ollowing way:
1. Name and gende co ela ion acco ding o he numbe o he
pa icipan s (24 emales and 19 males);
2. Co ela ion o he p e iously gene a ed pe sonas wi h he
dependence le els (5 independen , 17 pa ially dependen , and
21 ully dependen );
3. Clus e ing and co ela ion wi h diseases, wi h a mean o h ee
diseases pe es subjec and in acco dance o he p e iously
men ioned cons ain s;
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668 J.M. Albe ola e al. / In e na ional Jou nal o Compu a ional In elligence Sys ems 12(2) 661–675
4. Associa ion be ween he pe sonas. F iendship le els ha a e
likes, dislikes, and indi e en , hus ollowing a uzzy logic pa -
e n. The iendship connec ion holds he symme ic ela ion;
5. Mapping o he ac i i ies pe o med each mon h and hei
dependence le eling.
The ou come o his p ocess is a da ase ep esen a i e o he possi-
ble pa ien s o a nu sing home. Al hough he andomiza ion can be
deba able, he in o ma ion p o ided equi ed some kind o associ-
a ion p ocess and i is ou opinion ha he mos unbiased way o
do i was o gene a e pe sonas ha we e gene a ed by a cons ained
andom p ocess.
In o de o de e mine he ac o s aken in o conside a ion when
assigning a pe son o an ac i i y, we asked he wo ke s o dayca e
cen e es abou his issue. As i can be obse ed in Table 5, he likes,
he physical, and he psychological condi ions a e he ac o s ha
a e he mos conside ed when he pa icipan s a e chosen o do an
ac i i y (i.e., hey a e conside ed as e y impo an by o e he 60%
o he ca egi e s). In second come o he ac o s such as he ela-
ionship wi h he esiden s, he ac i i y con ol, he equency, he
pe sonali y, and i needs a ca e ake .
These esponses may p o ide a bias o he algo i hm in he deci-
sion suppo sys em, as hey es ablish he p io i ies and wha needs
o be conside ed i s . Responses like he sphinc e con ol and spe-
cial medica ion may p o e ha some conside a ion is gi en o hese
issues bu a e no so ele an , al hough we do no know i he ac i i-
ies al eady con empla e hese issues, o i he esiden s o ca egi e s
a e p epa ed o hese issues’ con ingencies.
Fo he sake o simplici y, we selec only some o he mos ele-
an ac o s in o de o de ine he p o ile o each indi idual o he
expe imen s. We selec hose ac o s desc ibed as “ e y impo an ”
by o e he 60% o he ca egi e s (numbe s 2, 3, and 5), and hose
ac o s desc ibed as “ e y impo an ” o “impo an ” by o e he
80% o he ca egi e s (6 and 9). No e ha he model p oposed in
Sec ion 4would allow o add o he ac o s i needed. These ac o s
a e g ouped in o he ollowing ea u es:
•Physical and psychological s a us e e s o he physical and
psychological condi ions o he indi idual and can ake h ee
alues based on his/he medical p o ile: independen , pa ially
independen , o dependen . Depending on his s a us, he e a e
some ac i i ies ha a e mos sui able o an indi idual. This
ac o is assumed o be known om he beginning and emains
almos cons an du ing his/he s ay in he cen e .
•P e e ence o ac i i ies e e o he i s choices o a pe son
ela ed o an ac i i y, ha is, how appealing is an ac i i y o an
indi idual. This ea u e can ake h ee alues: appealing,
neu al, o nonappealing. We assume ha an indi idual has no
p e e ences un il he/she pa icipa es in a planned ac i i y. A e
his/he pa icipa ion, he elde ly has an opinion abou his
ac i i y and p o ides eedback abou his/he p e e ence.
•F iendship ela ionships ep esen he social ne wo k o he
senio esidence cen e . Nodes ep esen he indi iduals and
links a e conside ed as weigh ed bidi ec ional ela ions
be ween indi iduals and can ake h ee alues: non iends (i.e.,
he indi iduals conside each o he annoying), neu al (i.e., he
indi iduals a e indi e en wi h each o he ), o iends (i.e., he
indi iduals a e iends). Ini ially, in o ma ion o iendship
ela ionships is no a ailable. A e each ac i i y, indi iduals
p o ide in o ma ion abou his/he ela ionships wi h o he
ac i i y membe s.
•His o ical ac i i y p o ile s o es he sequence o ac i i ies
al eady pe o med by he indi idual du ing he planned
pe iod. This in o ma ion is conside ed in o de o a oid he
epe i ion o ac i i ies du ing a speci ic pe iod o ime.
A e he pa icipa ion in each ac i i y, new indi idual p e e ences
and iendship ela ionships a e lea ned and his o ical ac i i y p o-
iles a e modi ied. All o his in o ma ion is conside ed in u u e
g oup ac i i y con igu a ions (see Figu e 8).
The equi emen s associa ed o an ac i i y a e he ype and he
numbe o pa icipan s (see Figu e 9). We conside wo ypes o
ac i i ies based on hei equi emen s o pe o m hem: psycho-
logical and physical. Psychological ac i i ies include able games,
a is ic exp ession, eading, o eligious pa y among o he s. Physi-
cal ac i i ies include dancing, walks, ga dening, o culina y lessons
among o he s. The numbe o pa icipan s is ep esen ed as a ange
o nume ical alues ha de ines he minimum and maximum o
indi iduals equi ed o an ac i i y.
Acco ding o he ea u es ha desc ibe he p o ile o each indi id-
ual, we de ine he ollownig ou 𝜙 unc ions o calcula e he alue
o a g oup:
Table 5 Responses o “Wha ac o s do you conside impo an o assign a pe son o an ac i i y?”
Ve y Impo an
(%)
Impo an
(%)
Mode a ely
Impo an (%)
Sligh ly
Impo an (%)
No Impo an
(%)
1. The age 33.3 25 33.3 8.3 0
2. Physical condi ion 66.7 8.3 25 0 0
3. Psychological condi ion 66.7 8.3 16.7 8.3 0
4. The pe sonali y 16.7 58.3 16.7 8.3 0
5. Likes he ac i i y 75 16.7 8.3 0 0
6. Ra ely pe o ms he ac i i y 8.3 75 16.7 0 0
7. I he pa icipan s a e in con ol o i 25 50 16.7 8.3 0
8. I s cha ac e in ela ion o he ac i i y
(pa icipa i e, passi e, e c.)
8.3 41.7 50 0 0
9. Rela ionship wi h he esiden s 16.7 66.7 8.3 8.3 0
10. Possess sphinc e con ol 0 50 50 0 0
11. Is agg essi e 16.7 41.7 33.3 8.3 0
12. Is dominan o submissi e 8.3 41.7 50 0 0
13. Needs special medica ion 16.7 25 33.3 25 0
14. Needs a special ca e ake 16.7 50 25 8.3 0
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J.M. Albe ola e al. / In e na ional Jou nal o Compu a ional In elligence Sys ems 12(2) 661–675 669
Figu e 8 Residen iew o he eedback ques ionnai e.
Figu e 9 Rec ea ional he apis iew o he ac i i y g oup gene a ion.
•Func ion 𝜙1=phy (ei,aj)calcula es he deg ee o ma ch
be ween he physical and psychological s a us o an indi idual
ei∈Gjand he physical and psychological equi emen s o he
ac i i y aj∈A.
•Func ion 𝜙2=ac (ei,aj)calcula es he ma ch be ween he
pe sonal p e e ences o each indi idual ei∈Gj o he ac i i y
aj∈A.
•Func ion 𝜙3= i (ei,X)calcula es he deg ee o iendship o
an indi idual ei∈Gjwi h o he membe s o he g oup
ek∈Gj∶i≠kconside ing hei iendship ela ionships in
he social ne wo k X.
•Func ion 𝜙4=his (ei,aj,d)is used o penalize he g oup
o med i an indi idual ei∈Gjhas he ac i i y aj∈Ain
his/he his o ical ac i i y p o ile in he las ddays.
Gi en he abo e unc ions, he alue o a g oup is calcula ed as ol-
lows: The pa ame e s 𝛼1,𝛼2,𝛼3, and 𝛼4desc ibed in his equa ion
a e i s ly speci ied wi h he same weigh (0.25):
(Gj)=∑
ei∈Gj
𝛼1⋅phy(ei,aj)+ 𝛼2⋅ac (ei,aj)
+ 𝛼3⋅ i (ei,X)+ 𝛼4⋅his (ei,aj).
(2)
6. EVALUATION
In his sec ion, we p esen some expe imen s o es and alida e
he applica ion. Fi s , we p esen empi ical expe imen s ha we e
ca ied ou in o de o e alua e he pe o mance o he algo i hm
p oposed. Then, we show some esul s abou he opinion o he
ca egi e s ega ding he ool de eloped.
6.1. Expe imen al Se ing
In o de o analyze he pe o mance o he ool ega ding he
di e en c i e ia used o g oup o ma ion, we simula ed se e al
scena ios om he da ase . The alue o each indi idual g oup was
measu ed acco ding o he Equa ion (2). The e o e, he physical and
psychological s a us ma ching o an ac i i y, he pe sonal p e e -
ence o an ac i i y, he iendship ela ionships, and he his o ical
ac i i y p o ile had all o hem he same in luence o compu ing
he alue o a g oup.
Fo each expe imen , we simula ed di e en scena ios in which
indi iduals we e g ouped du ing 30 days. Fo each day, we calcu-
la ed he alue o he g oup s uc u e, conside ing ha each indi id-
ual could ca y ou a single ac i i y pe day. The size o each g oup
anged om h ee o i e people pe g oup, and he numbe o ac i -
i ies was 20. I mus be poin ed ha some ac i i ies could be ca ied
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