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Multi-criteria trapezoidal valued intuitionistic fuzzy decision making with Choquet integral based TOPSIS

Author

Listed:
  • Beg, Ismat
  • Rashid, Tabasam

Abstract

A generalized trapezoidal-valued intuitionistic fuzzy geometric aggregation operator is proposed which is then used to aggregate decision makers' opinions in group decision making process. An extension of TOPSIS, a multi-criteria trapezoidal-valued intuitionistic fuzzy decision making technique, to a group decision environment is also proposed, where inter-dependent or interactive characteristics among criteria and preference of decision makers are under consideration. Furthermore, Choquet integral-based distance between trapezoidal-valued intuitionistic fuzzy values is defined. Combining the trapezoidal-valued intuitionistic fuzzy geometric aggregation operator with Choquet integral-based distance, an extension of TOPSIS method is developed to deal with a multi-criteria trapezoidal-valued intuitionistic fuzzy group decision making problems. Finally, an illustrative example is provided to understand the proposed method.

Suggested Citation

  • Beg, Ismat & Rashid, Tabasam, 2012. "Multi-criteria trapezoidal valued intuitionistic fuzzy decision making with Choquet integral based TOPSIS," MPRA Paper 95915, University Library of Munich, Germany, revised 2013.
    • Handle: RePEc:pra:mprapa:95915
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    File URL: https://mpra.ub.uni-muenchen.de/95915/1/MPRA_paper_95915.pdf
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    Cited by:

    1. Masoud Arjmand & Amir Abbas Najafi & Majid Ebrahimzadeh, 2020. "Evolutionary algorithms for multi-objective stochastic resource availability cost problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(3), pages 935-985, September.

    More about this item

    Keywords

    Technique for order preference by similarity to ideal solution; Multi-criteria group decision making; Interval-valued intuitionistic fuzzy sets; Fuzzy measures; GIIFGA operator.;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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