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A Novel Trapezoidal Bipolar Fuzzy TOPSIS Method for Group Decision-Making

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Abstract

In this research article, the notions of bipolar fuzzy numbers, trapezoidal bipolar fuzzy numbers, triangular bipolar fuzzy numbers and bipolar fuzzy linguistic variables are introduced. Ranking function on the set of all bipolar fuzzy numbers, and the expressions for the ranking of trapezoidal and triangular bipolar fuzzy numbers are derived. A group decision making method based on trapezoidal bipolar fuzzy TOPSIS method is proposed, and the implementation of the proposed method in the selection of best project proposal is presented. Finally, a theoretical comparison of the proposed trapezoidal bipolar fuzzy TOPSIS method with other multi-criteria decision making methods such as TOPSIS, bipolar fuzzy TOPSIS and bipolar fuzzy ELECTRE I is discussed.

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Acknowledgements

The authors are highly thankful to the Associate Editor, and the anonymous referees for their valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Muhammad Akram & Maham Arshad

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  1. Muhammad Akram
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  2. Maham Arshad
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Correspondence to Muhammad Akram.

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Akram, M., Arshad, M. A Novel Trapezoidal Bipolar Fuzzy TOPSIS Method for Group Decision-Making. Group Decis Negot 28, 565–584 (2019). https://doi.org/10.1007/s10726-018-9606-6

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  • DOI: https://doi.org/10.1007/s10726-018-9606-6

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