A chi-square method for obtaining a priority vector from multiplicative and fuzzy preference relations
European Journal of Operational ResearchPublished 21 November 2006
Ying‐Ming Wang, Zhi‐Ping Fan, Zhongsheng Hua
Citations97
SJR quartileQ1
SJR score2.24
SNIP2.62
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TL;DR
A chi-square method (CSM) for obtaining a priority vector from multiplicative and fuzzy preference relations is proposed and three numerical examples are examined to illustrate the applications of the CSM and its advantages.
Abstract
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.
Keywords
Computer ScienceDecision SciencesBusiness, Management and Accounting
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