Aggregation of interacting criteria by means of the discrete Choquet integral

Reference : Aggregation of interacting criteria by means of the discrete Choquet integral


	Document type :	Parts of books : Contribution to collective works
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics Business & economic sciences : Quantitative methods in economics & management
	To cite this reference:	http://hdl.handle.net/10993/6892

Title :	Aggregation of interacting criteria by means of the discrete Choquet integral
Language :	English
Author, co-author :	Marichal, Jean-Luc [Brigham Young University, Utah (USA) > Department of Mathematics]
Publication date :	2002
Main document title :	Aggregation operators: new trends and applications
Editor :	Calvo, Tomasa
	Mayor, Gaspar
	Mesiar, Radko
Publisher :	Physica-Verlag
Collection and collection volume :	Studies in Fuzziness and Soft Computing Vol. 97
Pages :	224-244
Peer reviewed :	Yes
ISBN :	9783790814682
City :	Heidelberg
Keywords :	[en] multicriteria decision making ; interacting criteria ; Choquet integral
Abstract :	[en] The most often used operator to aggregate criteria in decision making problems is the classical weighted arithmetic mean. In many problems however, the criteria considered interact, and a substitute to the weighted arithmetic mean has to be adopted. Under rather natural conditions, the discrete Choquet integral is proved to be an adequate aggregation operator that extends the weighted arithmetic mean by the taking into consideration of the interaction among criteria. The axiomatic that supports the Choquet integral is presented and some subfamilies are studied.
Funders :	Brigham Young University, Utah (USA)
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/6892
Other URL :	http://link.springer.com/chapter/10.1007/978-3-7908-1787-4_7

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