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

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...

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Veröffentlicht in:Group decision and negotiation 2019-06, Vol.28 (3), p.565-584
Hauptverfasser: Akram, Muhammad, Arshad, Maham
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description 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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subjects Biological and Physical Anthropology
Bipolar disorder
Business and Management
Decision making
Decision support systems
Group decision making
Multiple criteria decision making
Pareto optimum
Ratings & rankings
title A Novel Trapezoidal Bipolar Fuzzy TOPSIS Method for Group Decision-Making
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