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Multicriteria Group Decision-Making Method Using Vector Similarity Measures For Trapezoidal Intuitionistic Fuzzy Numbers

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  • Jun Ye

    (Shaoxing College of Arts and Sciences)

Abstract

Based on the extension of the Jaccard, Dice, and cosine similarity measures, three vector similarity measures between trapezoidal intuitionistic fuzzy numbers (TIFNs) are proposed in the vector space and are applied to the fuzzy multicriteria group decision-making problem, in which the criteria weights and the evaluated values in decision matrix are expressed by TIFNs. Through the weighted similarity measures between each alternative and the ideal alternative, the ranking order of all the alternatives can be determined and the best one(s) can be easily identified as well. A practical example of the developed approaches is given to select the investment alternatives. The decision results of different similarity measures demonstrate that the three similarity measures have better similarity identification. The illustrative example shows that the proposed methods are applicable.

Suggested Citation

  • Jun Ye, 2012. "Multicriteria Group Decision-Making Method Using Vector Similarity Measures For Trapezoidal Intuitionistic Fuzzy Numbers," Group Decision and Negotiation, Springer, vol. 21(4), pages 519-530, July.
    • Handle: RePEc:spr:grdene:v:21:y:2012:i:4:d:10.1007_s10726-010-9224-4
    DOI: 10.1007/s10726-010-9224-4
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Ye, Jun, 2010. "Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment," European Journal of Operational Research, Elsevier, vol. 205(1), pages 202-204, August.
    3. 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.
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    Cited by:

    1. Yongming Song & Jun Hu, 2017. "Vector similarity measures of hesitant fuzzy linguistic term sets and their applications," PLOS ONE, Public Library of Science, vol. 12(12), pages 1-13, December.
    2. Hadi Akbarzade Khorshidi & Indra Gunawan & Sanaz Nikfalazar, 2016. "Application of Fuzzy Risk Analysis for Selecting Critical Processes in Implementation of SPC with a Case Study," Group Decision and Negotiation, Springer, vol. 25(1), pages 203-220, January.
    3. Jun YE, 2016. "Multicriteria Decision-Making Method Based On Cosine Similarity Measures Between Interval- Valued Fuzzy Sets With Risk Preference," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(4), pages 205-215.

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