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On Additive Consistent Properties Of The Intuitionistic Fuzzy Preference Relation

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  • ZAIWU GONG

    (College of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China)

  • LIANSHUI LI

    (College of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China)

  • JIE CAO

    (College of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China)

  • FEIXUE ZHOU

    (College of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China)

Abstract

We investigate the properties of additive consistent intuitionistic fuzzy preference relations (IFPR). Usually, consistency in fuzzy preference relations (FPR) is associated with transitivity such as general transitivity, weak transitivity, and restricted max–max transitivity. This paper extends the consistency properties of the FPR to those of the IFPR. Since weak transitivity is the minimal logical requirement and a fundamental principle of human judgment, this paper develops three determination theorems and the corresponding algorithms to judge the weak transitivity of an IFPR from different angles. Two numerical examples show that the three methods proposed are feasible and effective.

Suggested Citation

  • Zaiwu Gong & Lianshui Li & Jie Cao & Feixue Zhou, 2010. "On Additive Consistent Properties Of The Intuitionistic Fuzzy Preference Relation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 9(06), pages 1009-1025.
    • Handle: RePEc:wsi:ijitdm:v:09:y:2010:i:06:n:s0219622010004160
    DOI: 10.1142/S0219622010004160
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    Cited by:

    1. Sheng-Hua Xiong & Zhen-Song Chen & Yan-Lai Li & Kwai-Sang Chin, 2016. "On Extending Power-Geometric Operators to Interval-Valued Hesitant Fuzzy Sets and Their Applications to Group Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1055-1114, September.
    2. Jian Wu, 2016. "Consistency in MCGDM Problems with Intuitionistic Fuzzy Preference Relations Based on an Exponential Score Function," Group Decision and Negotiation, Springer, vol. 25(2), pages 399-420, March.

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