Journal
JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING
Volume 39, Issue 5-6, Pages 401-443Publisher
OLD CITY PUBLISHING INC
Keywords
TOPSIS; fuzzy sets; multi-criteria decision making; Pythagorean fuzzy sets; spherical fuzzy sets; picture fuzzy sets; intuitionistic fuzzy sets
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This paper compares the different fuzzy set extensions of TOPSIS method based on the same problem, and evaluates them by assessing alternative solutions for creative thinking tools.
TOPSIS method is one of the most often used multi-criteria decision making methods. It is based on the distances of the alternatives from the negative and positive ideal solutions. TOPSIS method has been extended by several extensions of the ordinary fuzzy sets in the literature. However, these extensions of TOPSIS method have not been compared in detail for the solution of the same problem. This paper compares the fuzzy set extensions of TOPSIS method based on the same problem. The fuzzy set extensions of TOPSIS handled in this paper are based on interval-valued type-2 fuzzy sets, interval-valued picture fuzzy sets, interval-valued Pythagorean fuzzy sets, interval-valued intuitionistic fuzzy sets, and interval-valued spherical fuzzy sets. The considered application problem is the evaluation of creative thinking tool alternatives.
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