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Ranking of alternatives with ordered weighted averaging operators
Author(s) -
Lamata M. Teresa
Publication year - 2004
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.20002
Subject(s) - ranking (information retrieval) , analytic hierarchy process , ambiguity , set (abstract data type) , mathematics , computer science , fuzzy logic , group decision making , multiple criteria decision analysis , order (exchange) , fuzzy set , artificial intelligence , mathematical optimization , operations research , finance , political science , law , economics , programming language
Multiattribute decision making is an important part of the decision process for both individual and group problems. We incorporate the fuzzy set theory and the basic nature of subjectivity due to ambiguity to achieve a flexible decision approach suitable for uncertain and fuzzy environments. Let us consider the analytic hierarchy process (AHP) in which the labels are structured as fuzzy numbers. To obtain the scoring that corresponds to the best alternative or the ranking of the alternatives, we need to use a total order for the fuzzy numbers involved in the problem. In this article, we consider a definition of such a total order, which is based on two subjective aspects: the degree of optimism/pessimism reflected with the ordered weighted averaging (OWA) operators. A numerical example is given to illustrate the approach. © 2004 Wiley Periodicals, Inc.