Existence and construction of weight-set for satisfying preference orders of alternatives based on additive multi-attribute value model

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)22_Publication in policy or professional journalNot applicable

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Original languageEnglish
Pages (from-to)66-72
Journal / PublicationIEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.
Volume31
Issue number1
Publication statusPublished - Jan 2001

Abstract

Based on the additive multi-attribute value model for multiple attribute decision making (MADM) problems, this paper investigates how the set of attribute weights (or weight-set thereafter) is determined according to the preference orders of alternatives given by decision makers. The weight-set is a bounded convex polyhedron and can be written as a convex combination of the extreme points. We give the sufficient and necessary conditions for the weight-set to be not empty and present the structures of the weight-set for satisfying the preference orders of alternatives. A method is also proposed to determine the weight-set. The structure of the weight-set is used to determine the interval of weights for every attribute in the decision analysis and to judge whether there exists a positive weight in the weight-set. The research results are applied to several MADM problems such as the geometric additive multi-attribute value model and the MADM problem with cone structure.

Citation Format(s)

Existence and construction of weight-set for satisfying preference orders of alternatives based on additive multi-attribute value model. / Ma, Jian; Fan, Zhiping; Wei, Quanling.

In: IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans., Vol. 31, No. 1, 01.2001, p. 66-72.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)22_Publication in policy or professional journalNot applicable