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Multi-attribute decision making based on a novel IF point operator

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  • Zhi Pei

    (Zhejiang University of Technology
    North Carolina State University)

Abstract

Intuitionistic fuzzy (IF) point operators transform an intuitionistic fuzzy set to a fuzzy set, or an intuitionistic fuzzy set with a smaller degree of hesitance. The purpose of which is to empower the operations of intuitionistic fuzzy sets with traditional fuzzy set methodologies. In the present paper, a new IF point operator is proposed. Different from the existing IF point operators, the new approach includes two parametric functions with respect to the number of iterations. It is proved that the newly proposed method could be degenerated to the traditional IF point operators. Meanwhile, the new IF point operator can extend our horizons in the exploration of the relationship between fuzzy sets and intuitionistic fuzzy sets. Specifically, a special case of the new IF point operator would be entitled as the memoryless multi-stage voting method, with which the decision makers are assumed to be affected only by the outcomes of the latest round of voting. It is proved that the memoryless multi-stage voting method converges to the limit produced by the infinite number of iterations much faster than the traditional voting method. Furthermore, a numerical example is employed to demonstrate the validity and performance of the memoryless multi-stage voting approach.

Suggested Citation

  • Zhi Pei, 2017. "Multi-attribute decision making based on a novel IF point operator," Fuzzy Optimization and Decision Making, Springer, vol. 16(4), pages 505-524, December.
    • Handle: RePEc:spr:fuzodm:v:16:y:2017:i:4:d:10.1007_s10700-016-9255-7
    DOI: 10.1007/s10700-016-9255-7
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Xiaohong Chen & Mengjing Wu & Chunqiao Tan & Tao Zhang, 2021. "A random intuitionistic fuzzy factor analysis model for complex multi-attribute large group decision-making in dynamic environments," Fuzzy Optimization and Decision Making, Springer, vol. 20(1), pages 101-127, March.

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