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

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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.

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Acknowledgments

Authors are grateful to the editor and referees for their valuable suggestions and critical remarks for improving this paper.

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Authors and Affiliations

  1. Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore, Pakistan

    Ismat Beg

  2. Department of Science and Humanities, National University of Computer and Emerging Sciences, Lahore, Pakistan

    Tabasam Rashid

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  1. Ismat Beg
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Correspondence to Ismat Beg.

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Beg, I., Rashid, T. Multi-criteria trapezoidal valued intuitionistic fuzzy decision making with Choquet integral based TOPSIS. OPSEARCH 51, 98–129 (2014). https://doi.org/10.1007/s12597-013-0134-5

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