Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 182, Issue 1, Pages 356-366Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejor.2006.07.020
Keywords
fuzzy preference relation; multiplicative preference relation; group decision making; chi-square method; priority ranking
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Decision makers (DMs)' preferences on decision alternatives are often characterized by multiplicative or fuzzy preference relations. This paper proposes a chi-square method (CSM) for obtaining a priority vector from multiplicative and fuzzy preference relations. The proposed CSM can be used to obtain a priority vector from either a multiplicative preference relation (i.e. a pairwise comparison matrix) or a fuzzy preference relation or a group of multiplicative preference relations or a group of fuzzy preference relations or their mixtures. Theorems and algorithm about the CSM are developed. Three numerical examples are examined to illustrate the applications of the CSM and its advantages. (c) 2006 Elsevier B.V. All rights reserved.
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