Correspondence between Incomplete Fuzzy Preference Relation and Its Priority Vector

Authors:
Pei-Di Shen;Wen-Li Chyr;Hsuan-Shih Lee;Kuang Lin
Affiliations:
Graduate School of Education,;Department of Information Management, Ming Chung University, Taipei, Taiwan 111;Department of Shipping and Transportation Management, National Taiwan Ocean University, Keelung, Taiwan 202;Department of Shipping and Transportation Management, National Taiwan Ocean University, Keelung, Taiwan 202
Venue:
KES '09 Proceedings of the 13th International Conference on Knowledge-Based and Intelligent Information and Engineering Systems: Part II
Year:
2009

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Abstract

Fuzzy preference relations are frequently adopted by decision makers to express their preference tendency toward alternatives. Due to the lack of expertise of knowledge, decision makers may not be able to specify complete preference relation. To deal with incomplete fuzzy preference relations, Xu [26] proposed prioritization methods for incomplete fuzzy preference relations where he postulated a correspondence between priority vector and additive consistent incomplete fuzzy preference relation. In this paper, we are going to prove the correspondence does not always hold.