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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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    1. Chan, Felix T.S. & Kumar, Niraj, 2007. "Global supplier development considering risk factors using fuzzy extended AHP-based approach," Omega, Elsevier, vol. 35(4), pages 417-431, August.
    2. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    3. 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.
    4. 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.
    5. Huang, Chi-Cheng & Chu, Pin-Yu & Chiang, Yu-Hsiu, 2008. "A fuzzy AHP application in government-sponsored R&D project selection," Omega, Elsevier, vol. 36(6), pages 1038-1052, December.
    6. Zeshui Xu, 2013. "Compatibility Analysis of Intuitionistic Fuzzy Preference Relations in Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(3), pages 463-482, May.
    7. Cuiping Wei & Xijin Tang, 2011. "An Intuitionistic Fuzzy Group Decision-Making Approach Based On Entropy And Similarity Measures," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 10(06), pages 1111-1130.
    8. Liu, Hua-Wen & Wang, Guo-Jun, 2007. "Multi-criteria decision-making methods based on intuitionistic fuzzy sets," European Journal of Operational Research, Elsevier, vol. 179(1), pages 220-233, May.
    9. Chiclana, F. & Herrera-Viedma, E. & Herrera, F. & Alonso, S., 2007. "Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 182(1), pages 383-399, October.
    10. Jian-qiang Wang & Zhi-qiu Han & Hong-yu Zhang, 2014. "Multi-criteria Group Decision-Making Method Based on Intuitionistic Interval Fuzzy Information," Group Decision and Negotiation, Springer, vol. 23(4), pages 715-733, July.
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    Cited by:

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    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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