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Interval-valued intuitionistic fuzzy combined weighted averaging operator for group decision making

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Listed:
  • Sidong Xian

    (Chongqing University of Posts and Telecommunications)

  • Yafen Dong

    (Chongqing University of Posts and Telecommunications)

  • Yubo Yin

    (Chongqing University of Posts and Telecommunications)

Abstract

Determining the attribute weights, in the multiple attribute group decision-making analysis with interval-valued intuitionistic fuzzy information, plays a crucial role because of its direct effect on the optimal alternative. In this paper, we develop a new attribute weight based on the support and entropy measure of attribute values. Then, the interval-valued intuitionistic fuzzy combined weighted averaging (IVIFCWA) operator is proposed and its some primary properties are discussed. The IVIFCWA operator’s attribute values take the form of interval-valued intuitionistic fuzzy numbers and the principal component of the interval-valued intuitionistic fuzzy number is fully taken into account. Finally, a numerical example concerning the investment strategy is given to illustrate the validity and applicability of the proposed method.

Suggested Citation

  • Sidong Xian & Yafen Dong & Yubo Yin, 2017. "Interval-valued intuitionistic fuzzy combined weighted averaging operator for group decision making," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 895-905, August.
  • Handle: RePEc:pal:jorsoc:v:68:y:2017:i:8:d:10.1057_s41274-017-0241-4
    DOI: 10.1057/s41274-017-0241-4
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    References listed on IDEAS

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    1. Zeshui Xu, 2010. "A Deviation-Based Approach to Intuitionistic Fuzzy Multiple Attribute Group Decision Making," Group Decision and Negotiation, Springer, vol. 19(1), pages 57-76, January.
    2. Q Wei & H Yan & J Ma & Z Fan, 2000. "A compromise weight for multi-criteria group decision making with individual preference," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(5), pages 625-634, May.
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    Cited by:

    1. Min Xue & Chao Fu & Shan-Lin Yang, 2021. "Dynamic Expert Reliability Based Feedback Mechanism in Consensus Reaching Process with Distributed Preference Relations," Group Decision and Negotiation, Springer, vol. 30(2), pages 341-375, April.

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