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Interval-Valued Intuitionistic Fuzzy Multicriteria Group Decision Making Based on VIKOR and Choquet Integral

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  • Chunqiao Tan
  • Xiaohong Chen

Abstract

An effective decision making approach based on VIKOR and Choquet integral is developed to solve multicriteria group decision making problem with conflicting criteria and interdependent subjective preference of decision makers in a fuzzy environment where preferences of decision makers with respect to criteria are represented by interval-valued intuitionistic fuzzy sets. First, an interval-valued intuitionistic fuzzy Choquet integral operator is given. Some of its properties are investigated in detail. The extended VIKOR decision procedure based on the proposed operator is developed for solving the multicriteria group decision making problem where the interactive criteria weight is measured by Shapley value. An illustrative example is given for demonstrating the applicability of the proposed decision procedure for solving the multi-criteria group decision making problem in interval-valued intuitionistic fuzzy environment.

Suggested Citation

  • Chunqiao Tan & Xiaohong Chen, 2013. "Interval-Valued Intuitionistic Fuzzy Multicriteria Group Decision Making Based on VIKOR and Choquet Integral," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-16, December.
    • Handle: RePEc:hin:jnljam:656879
    DOI: 10.1155/2013/656879
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    Cited by:

    1. Büyüközkan, Gülçin & Havle, Celal Alpay & Feyzioğlu, Orhan, 2021. "Digital competency evaluation of low-cost airlines using an integrated IVIF AHP and IVIF VIKOR methodology," Journal of Air Transport Management, Elsevier, vol. 91(C).
    2. Fatma Betül Yeni & Gökhan Özçelik, 2019. "Interval-Valued Atanassov Intuitionistic Fuzzy CODAS Method for Multi Criteria Group Decision Making Problems," Group Decision and Negotiation, Springer, vol. 28(2), pages 433-452, April.
    3. Melda Kokoç & Süleyman Ersöz, 2021. "A literature review of interval-valued intuitionistic fuzzy multi-criteria decision-making methodologies," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 31(4), pages 89-116.
    4. Gia Sirbiladze & Anna Sikharulidze, 2018. "Extensions of Probability Intuitionistic Fuzzy Aggregation Operators in Fuzzy MCDM/MADM," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 621-655, March.

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