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Importance‐based multicriteria decision making with interval valued criteria satisfactions
Author(s) -
Yager Ronald R.,
Alajlan Naif
Publication year - 2019
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.22201
Subject(s) - choquet integral , decision maker , measure (data warehouse) , mathematics , interval (graph theory) , fuzzy logic , fuzzy measure theory , scalar (mathematics) , function (biology) , fuzzy set , operations research , membership function , computer science , mathematical optimization , artificial intelligence , data mining , combinatorics , geometry , evolutionary biology , biology
Multiple‐criteria decision problems involve selecting an alternative that best satisfies a collection of criteria as quantified by a scalar corresponding to an aggregation of the alternatives satisfaction to the individual criteria. A fundamental issue is the formulation of decision maker's aggregation function based upon the decision maker's perceived relationship between the criteria. Here, we allow the decision maker to express their perceived relationship between the criteria in terms of information about the criteria importances by providing a fuzzy measure over the criteria such that the measure of any subset of criteria is its importance. With the aid of the Choquet integral, we use this fuzzy measure of importances to construct an aggregation function. As the Choquet integral requires an ordering of an alternatives individual criteria satisfactions, special handling is required in the case when criteria satisfactions are interval valued rather then scalar. Here we use the golden rule representative value in the case of interval values.