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Consistency in MCGDM Problems with Intuitionistic Fuzzy Preference Relations Based on an Exponential Score Function

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  • Jian Wu

    (Zhejiang Normal University)

Abstract

This paper investigates an approach for multiple criteria decision making problems with intuitionistic fuzzy preference relations (IFPRs). An exponential score function for intuitionistic fuzzy numbers is developed. Its novelty is that it can convert an IFPR into a multiplicative preference relation. Then, the exponential score preference relation is introduced and its associated optimal transfer matrix is proposed. The optimal transfer matrix can guarantee the consistency via the additive transitivity property. Furthermore, an optimal model for aggregating group IFPRs to reach consistency is proposed. Finally, a group decision making approach and a multi-criteria decision making approach with IFPRs are presented.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:grdene:v:25:y:2016:i:2:d:10.1007_s10726-015-9447-5
    DOI: 10.1007/s10726-015-9447-5
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    References listed on IDEAS

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    Cited by:

    1. Jun Liu & Xianbin Wu & Shouzhen Zeng & Tiejun Pan, 2017. "Intuitionistic Linguistic Multiple Attribute Decision-Making with Induced Aggregation Operator and Its Application to Low Carbon Supplier Selection," IJERPH, MDPI, vol. 14(12), pages 1-12, November.
    2. Jia-Wei Tang & Tsuen-Ho Hsu, 2018. "Utilizing the Hierarchy Structural Fuzzy Analytical Network Process Model to Evaluate Critical Elements of Marketing Strategic Alliance Development in Mobile Telecommunication Industry," Group Decision and Negotiation, Springer, vol. 27(2), pages 251-284, April.

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