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

Author

Listed:
  • Michele Fedrizzi
  • Matteo Brunelli

Abstract

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.

Suggested Citation

  • Michele Fedrizzi & Matteo Brunelli, 2008. "On the priority vector associated with a fuzzy preference relation and a multiplicative preference relation," DISA Working Papers 0807, Department of Computer and Management Sciences, University of Trento, Italy, revised 04 Sep 2008.
  • Handle: RePEc:trt:disawp:0807
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    References listed on IDEAS

    as
    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. 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.
    3. 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.
    4. 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.
    5. Fishburn, P.C., 1984. "SSB Utility theory: an economic perspective," Mathematical Social Sciences, Elsevier, vol. 8(1), pages 63-94, August.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    pairwise comparison matrix; fuzzy preference relation; priority vector;

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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