InforLorV4, Main, Exploration, bibRecord, 000181

Decision-making with sugeno integrals

Identifieur interne : 000181 ( Main/Exploration ); précédent : 000180; suivant : 000182

Decision-making with sugeno integrals

Auteurs : Miguel Couceiro [France] ; Didier Dubois [France] ; Henri Prade [France] ; Tamas Waldhauser [Hongrie]

Source :

Order [ 0167-8094 ] ; 2015-12-17.

RBID : Hal:hal-01184340

Abstract

This paper clarifies the connection between multiple criteria decision-making and decision under uncertainty in a qualitative setting relying on a finite value scale. While their mathematical formulations are very similar, the underlying assumptions differ and the latter problem turns out to be a special case of the former. Sugeno integrals are very general aggregation operations that can represent preference relations between uncertain acts or between multifactorial alternatives where attributes share the same totally ordered domain. This paper proposes a generalized form of the Sugeno integral that can cope with attributes which have distinct domains via the use of qualitative utility functions. It is shown that in the case of decision under uncertainty, this model corresponds to state-dependent preferences on act consequences. Axiomatizations of the corresponding preference functionals are proposed in the cases where uncertainty is represented by possibility measures, by necessity measures, and by general order-preserving set-functions, respectively. This is achieved by weakening previously proposed axiom systems for Sugeno integrals.

Url:

https://hal.archives-ouvertes.fr/hal-01184340

DOI: 10.1007/s11083-015-9382-8

Affiliations:

Links toward previous steps (curation, corpus...)

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to stream Hal, to step Curation: 001B17
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Le document en format XML

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<tutelle active="#struct-217752" type="direct"><org type="institution" xml:id="struct-217752" status="VALID"><orgName>Université Paul Sabatier - Toulouse 3</orgName>
<orgName type="acronym">UPS</orgName>
<desc><address><addrLine>118 route de Narbonne - 31062 Toulouse</addrLine>
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<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
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<date type="start">1939-10-19</date>
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<country>France</country>
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<author><name sortKey="Prade, Henri" sort="Prade, Henri" uniqKey="Prade H" first="Henri" last="Prade">Henri Prade</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-34499" status="VALID"><orgName>Institut de recherche en informatique de Toulouse</orgName>
<orgName type="acronym">IRIT</orgName>
<desc><address><addrLine>118 Route de Narbonne, F-31062 Toulouse Cedex 9</addrLine>
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<tutelle active="#struct-81148" type="direct"><org type="institution" xml:id="struct-81148" status="VALID"><orgName>Université Toulouse 1 Capitole</orgName>
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<tutelle active="#struct-116256" type="direct"><org type="institution" xml:id="struct-116256" status="VALID"><idno type="IdRef">026403994</idno>
<orgName>Université Toulouse 2</orgName>
<orgName type="acronym">UT2</orgName>
<date type="start">1971-01-01</date>
<desc><address><addrLine>5 allées Antonio Machado - 31058 Toulouse Cedex 9 </addrLine>
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<tutelle active="#struct-217752" type="direct"><org type="institution" xml:id="struct-217752" status="VALID"><orgName>Université Paul Sabatier - Toulouse 3</orgName>
<orgName type="acronym">UPS</orgName>
<desc><address><addrLine>118 route de Narbonne - 31062 Toulouse</addrLine>
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<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
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</hal:affiliation>
<country>France</country>
</affiliation>
</author>
<author><name sortKey="Waldhauser, Tamas" sort="Waldhauser, Tamas" uniqKey="Waldhauser T" first="Tamas" last="Waldhauser">Tamas Waldhauser</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-409319" status="INCOMING"><orgName>Bolyai Institute [Szeged]</orgName>
<desc><address><addrLine>Aradivértanúktere1,H-6720Szeged</addrLine>
<country key="HU"></country>
</address>
</desc>
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<tutelles><tutelle active="#struct-63200" type="direct"><org type="laboratory" xml:id="struct-63200" status="VALID"><orgName>University of Szeged [Szeged]</orgName>
<desc><address><addrLine>Dugonics square 13 H-6720 Szeged</addrLine>
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<ref type="url">http://www.u-szeged.hu/english/</ref>
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<tutelle active="#struct-365445" type="indirect"><org type="institution" xml:id="struct-365445" status="INCOMING"><orgName>University of Szeged</orgName>
<desc><address><country key="FR"></country>
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</hal:affiliation>
<country>Hongrie</country>
</affiliation>
</author>
</analytic>
<idno type="DOI">10.1007/s11083-015-9382-8</idno>
<series><title level="j">Order</title>
<idno type="ISSN">0167-8094</idno>
<imprint><date type="datePub">2015-12-17</date>
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<front><div type="abstract" xml:lang="en">This paper clarifies the connection between multiple criteria decision-making and decision under uncertainty in a qualitative setting relying on a finite value scale. While their mathematical formulations are very similar, the underlying assumptions differ and the latter problem turns out to be a special case of the former. Sugeno integrals are very general aggregation operations that can represent preference relations between uncertain acts or between multifactorial alternatives where attributes share the same totally ordered domain. This paper proposes a generalized form of the Sugeno integral that can cope with attributes which have distinct domains via the use of qualitative utility functions. It is shown that in the case of decision under uncertainty, this model corresponds to state-dependent preferences on act consequences. Axiomatizations of the corresponding preference functionals are proposed in the cases where uncertainty is represented by possibility measures, by necessity measures, and by general order-preserving set-functions, respectively. This is achieved by weakening previously proposed axiom systems for Sugeno integrals.</div>
</front>
</TEI>
<affiliations><list><country><li>France</li>
<li>Hongrie</li>
</country>
<region><li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement><li>Metz</li>
<li>Nancy</li>
</settlement>
<orgName><li>Université de Lorraine</li>
</orgName>
</list>
<tree><country name="France"><region name="Grand Est"><name sortKey="Couceiro, Miguel" sort="Couceiro, Miguel" uniqKey="Couceiro M" first="Miguel" last="Couceiro">Miguel Couceiro</name>
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<name sortKey="Dubois, Didier" sort="Dubois, Didier" uniqKey="Dubois D" first="Didier" last="Dubois">Didier Dubois</name>
<name sortKey="Prade, Henri" sort="Prade, Henri" uniqKey="Prade H" first="Henri" last="Prade">Henri Prade</name>
</country>
<country name="Hongrie"><noRegion><name sortKey="Waldhauser, Tamas" sort="Waldhauser, Tamas" uniqKey="Waldhauser T" first="Tamas" last="Waldhauser">Tamas Waldhauser</name>
</noRegion>
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Decision-making with sugeno integrals

Decision-making with sugeno integrals

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