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Distance Measures for Hesitant Intuitionistic Fuzzy Linguistic Sets

Author

Listed:
  • Meng Fanyong

    (Nanjing University of Information Science and Technology Central South University)

  • Tan Chunqiao

    (Central South University)

Abstract

To address qualitative and quantitative preferences, this paper defines a new fuzzy set named hesitant intuitionistic fuzzy linguistic sets (HIFLSs), which are composed by several linguistic terms with each of them having an intuitionistic fuzzy set. To research the application of HIFLSs, several distance measures are defined. To cope with the situations where the elements in a set are correlative, three interrelated distance measures are presented. To address intuitionistic hesitant fuzzy linguistic decision making problems with incomplete weight information, models for the optimal 2-additive measures and additive measures are respectively built. Then, an approach to multi-attribute decision making is developed. Finally, an illustrative example is offered to demonstrate the application of the procedure.

Suggested Citation

  • Meng Fanyong & Tan Chunqiao, 2017. "Distance Measures for Hesitant Intuitionistic Fuzzy Linguistic Sets," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 51(4), pages 207-224.
    • Handle: RePEc:cys:ecocyb:v:50:y:2017:i:4:p:207-224
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    References listed on IDEAS

    as
    1. Herrera, F. & Herrera-Viedma, E., 2000. "Choice functions and mechanisms for linguistic preference relations," European Journal of Operational Research, Elsevier, vol. 120(1), pages 144-161, January.
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    More about this item

    Keywords

    decision making; hesitant intuitionistic fuzzy linguistic set; distance measure; 2-additive measure;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • M12 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Personnel Management; Executives; Executive Compensation
    • M51 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Personnel Economics - - - Firm Employment Decisions; Promotions

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