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On the priority vector associated with a fuzzy preference relation and a multiplicative preference relation

Listed author(s):
  • Michele Fedrizzi
  • Matteo Brunelli

We propose two straightforward methods for deriving the priority vector associated with a fuzzy preference relation. Then, using transformations between multiplicative preference relations and fuzzy preference relations, we study the relationships between the priority vectors associated with these two types of preference relations.

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Paper provided by Department of Computer and Management Sciences, University of Trento, Italy in its series DISA Working Papers with number 0807.

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Length: 13 pages
Date of creation: Sep 2008
Date of revision: 04 Sep 2008
Handle: RePEc:trt:disawp:0807
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  1. Wang, Ying-Ming & Fan, Zhi-Ping & Hua, Zhongsheng, 2007. "A chi-square method for obtaining a priority vector from multiplicative and fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 182(1), pages 356-366, October.
  2. Lipovetsky, Stan & Michael Conklin, W., 2002. "Robust estimation of priorities in the AHP," European Journal of Operational Research, Elsevier, vol. 137(1), pages 110-122, February.
  3. Xu, Zeshui & Da, Qingli, 2005. "A least deviation method to obtain a priority vector of a fuzzy preference relation," European Journal of Operational Research, Elsevier, vol. 164(1), pages 206-216, July.
  4. Fishburn, P.C., 1984. "SSB Utility theory: an economic perspective," Mathematical Social Sciences, Elsevier, vol. 8(1), pages 63-94, August.
  5. Fan, Zhi-Ping & Ma, Jian & Jiang, Yan-Ping & Sun, Yong-Hong & Ma, Louis, 2006. "A goal programming approach to group decision making based on multiplicative preference relations and fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 174(1), pages 311-321, October.
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