IDEAS home Printed from https://ideas.repec.org/p/trt/disawp/0807.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: http://www.unitn.it/files/download/10533/07.pdf
    Download Restriction: no
    ---><---

    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. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhu, Bin & Xu, Zeshui, 2014. "Stochastic preference analysis in numerical preference relations," European Journal of Operational Research, Elsevier, vol. 237(2), pages 628-633.
    2. Chao, Xiangrui & Kou, Gang & Li, Tie & Peng, Yi, 2018. "Jie Ke versus AlphaGo: A ranking approach using decision making method for large-scale data with incomplete information," European Journal of Operational Research, Elsevier, vol. 265(1), pages 239-247.
    3. 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.
    4. Wang, Ying-Ming & Parkan, Celik, 2008. "Optimal aggregation of fuzzy preference relations with an application to broadband internet service selection," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1476-1486, June.
    5. Xu, Zeshui & Chen, Jian, 2008. "Some models for deriving the priority weights from interval fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 184(1), pages 266-280, January.
    6. Zhu, Bin & Xu, Zeshui & Zhang, Ren & Hong, Mei, 2015. "Generalized analytic network process," European Journal of Operational Research, Elsevier, vol. 244(1), pages 277-288.
    7. Xiangrui Chao & Yucheng Dong & Gang Kou & Yi Peng, 2022. "How to determine the consensus threshold in group decision making: a method based on efficiency benchmark using benefit and cost insight," Annals of Operations Research, Springer, vol. 316(1), pages 143-177, September.
    8. Fedrizzi, Michele & Giove, Silvio, 2007. "Incomplete pairwise comparison and consistency optimization," European Journal of Operational Research, Elsevier, vol. 183(1), pages 303-313, November.
    9. Yazidi, Anis & Ivanovska, Magdalena & Zennaro, Fabio M. & Lind, Pedro G. & Viedma, Enrique Herrera, 2022. "A new decision making model based on Rank Centrality for GDM with fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1030-1041.
    10. Colson, Gérard, 1993. "Prenons-nous assez de risque dans les théories du risque?," L'Actualité Economique, Société Canadienne de Science Economique, vol. 69(1), pages 111-141, mars.
    11. Wenqi Liu & Hengjie Zhang & Haiming Liang & Cong-cong Li & Yucheng Dong, 2022. "Managing Consistency and Consensus Issues in Group Decision-Making with Self-Confident Additive Preference Relations and Without Feedback: A Nonlinear Optimization Method," Group Decision and Negotiation, Springer, vol. 31(1), pages 213-240, February.
    12. Stan Lipovetsky, 2021. "Predictor Analysis in Group Decision Making," Stats, MDPI, vol. 4(1), pages 1-14, February.
    13. Ze-shui Xu, 2009. "A method for estimating criteria weights from intuitionistic preference relations," Fuzzy Information and Engineering, Springer, vol. 1(1), pages 79-89, March.
    14. Peter C. Fishburn, 1988. "Multicriteria efficiency with arbitrary finite sets and cyclic preferences," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(6), pages 567-574, December.
    15. S. Lipovetsky, 2009. "Global Priority Estimation in Multiperson Decision Making," Journal of Optimization Theory and Applications, Springer, vol. 140(1), pages 77-91, January.
    16. Yulan Wang & Huayou Chen & Ligang Zhou, 2013. "Logarithm Compatibility of Interval Multiplicative Preference Relations with an Application to Determining the Optimal Weights of Experts in the Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(4), pages 759-772, July.
    17. Siraj, Sajid & Mikhailov, Ludmil & Keane, John A., 2015. "Contribution of individual judgments toward inconsistency in pairwise comparisons," European Journal of Operational Research, Elsevier, vol. 242(2), pages 557-567.
    18. Kobi Kriesler & Shmuel Nitzan, 2009. "Framing-based Choice: A Model of Decision-making Under Risk," Korean Economic Review, Korean Economic Association, vol. 25, pages 65-89.
    19. Wu, Zhibin & Huang, Shuai & Xu, Jiuping, 2019. "Multi-stage optimization models for individual consistency and group consensus with preference relations," European Journal of Operational Research, Elsevier, vol. 275(1), pages 182-194.
    20. Tsuen-Ho Hsu & Li-Chu Hung & Jia-Wei Tang, 2012. "An analytical model for building brand equity in hospitality firms," Annals of Operations Research, Springer, vol. 195(1), pages 355-378, May.

    More about this item

    Keywords

    pairwise comparison matrix; fuzzy preference relation; priority vector;
    All these keywords.

    JEL classification:

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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:trt:disawp:0807. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Roberto Gabriele (email available below). General contact details of provider: https://edirc.repec.org/data/ditreit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.