Journal
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
Volume 47, Issue 2, Pages 258-264Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2007.05.005
Keywords
group decision making; incomplete preference relation; multiplicative consistency; least-square model; priority
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The priority problem of incomplete preference relations is investigated. Using the transformation relation between multiplicative preference relation and fuzzy preference relation, we develop a least-square model to obtain the collective priority vector of the incomplete preference relations presented by multiple decision makers, with the existence condition of the solution being developed. Meanwhile, we extend this model to the cases of the fuzzy preference relations with complete information presented by multiple decision makers and the fuzzy preference relation with complete information presented by one decision maker. Finally, it is illustrated by a numerical example that the method proposed is feasible and effective. (c) 2007 Elsevier Inc. All rights reserved.
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