IDEAS home Printed from https://ideas.repec.org/a/spr/fuzinf/v1y2009i1d10.1007_s12543-009-0006-0.html
   My bibliography  Save this article

A method for estimating criteria weights from intuitionistic preference relations

Author

Listed:
  • Ze-shui Xu

    (PLA University of Science and Technology)

Abstract

An intuitionistic preference relation is a powerful means to express decision makers’information of intuitionistic preference over criteria in the process of multi-criteria decision making. In this paper, we first define the concept of its consistence and give the equivalent interval fuzzy preference relation of it. Then we develop a method for estimating criteria weights from it, and then extend the method to accommodate group decision making based on them And finally, we use some numerical examples to illustrate the feasibility and validity of the developed method.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:fuzinf:v:1:y:2009:i:1:d:10.1007_s12543-009-0006-0
    DOI: 10.1007/s12543-009-0006-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12543-009-0006-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s12543-009-0006-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Sanja Puzović & Jasmina Vesić Vasović & Dragan D. Milanović & Vladan Paunović, 2023. "A Hybrid Fuzzy MCDM Approach to Open Innovation Partner Evaluation," Mathematics, MDPI, vol. 11(14), pages 1-26, July.
    7. 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.
    8. Wanying Xie & Zeshui Xu & Zhiliang Ren & Hai Wang, 2018. "Probabilistic Linguistic Analytic Hierarchy Process and Its Application on the Performance Assessment of Xiongan New Area," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(06), pages 1693-1724, November.
    9. Fedrizzi, Michele & Giove, Silvio, 2007. "Incomplete pairwise comparison and consistency optimization," European Journal of Operational Research, Elsevier, vol. 183(1), pages 303-313, November.
    10. 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.
    11. 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.
    12. 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.
    13. Rezaei, Jafar & Ortt, Roland, 2013. "Multi-criteria supplier segmentation using a fuzzy preference relations based AHP," European Journal of Operational Research, Elsevier, vol. 225(1), pages 75-84.
    14. Huayou Chen & Ligang Zhou, 2012. "A Relative Entropy Approach to Group Decision Making with Interval Reciprocal Relations Based on COWA Operator," Group Decision and Negotiation, Springer, vol. 21(4), pages 585-599, July.
    15. Tang, Ming & Liao, Huchang & Xu, Jiuping & Streimikiene, Dalia & Zheng, Xiaosong, 2020. "Adaptive consensus reaching process with hybrid strategies for large-scale group decision making," European Journal of Operational Research, Elsevier, vol. 282(3), pages 957-971.
    16. Shahryar Monghasemi & Mohammad Reza Nikoo & Mohammad Ali Khaksar Fasaee & Jan Adamowski, 2017. "A Hybrid of Genetic Algorithm and Evidential Reasoning for Optimal Design of Project Scheduling: A Systematic Negotiation Framework for Multiple Decision-Makers," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 389-420, March.

    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:spr:fuzinf:v:1:y:2009:i:1:d:10.1007_s12543-009-0006-0. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.