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- Title
An extension of TOPSIS based on linguistic terms in triangular intuitionistic fuzzy structure.
- Authors
Saeed, Muhammad; Mehmood, Asad; Anwar, Amna
- Abstract
Chen [24] introduced the extension of TOPSIS in the fuzzy structure, while this article stretches the modern approach of TOPSIS to the intuitionistic fuzzy framework. Linguistic terms are used in this study to evaluate the weight of each criterion and the rating of alternatives in the context of a triangular intuitionistic fuzzy number. A new intuitionistic fuzzy positive ideal solution (IFPIS) and intuitionistic fuzzy negative ideal solution (IFNIS) are proposed in this model of extended TOPSIS. Euclidean distance is introduced between two triangular intuitionistic fuzzy numbers to calculate separation between each alternative to both (IFPIS) and (IFNIS). The proposed model's mechanism is presented with the help of an algorithm, and then it is applied to the personal selection problem. Finally, a comparative study is given between this model and other TOPSIS techniques.
- Subjects
TOPSIS method; MULTIPLE criteria decision making; INTUITIONISTIC mathematics; FUZZY algorithms; FUZZY sets
- Publication
Punjab University Journal of Mathematics, 2021, Vol 53, Issue 6, p409
- ISSN
1016-2526
- Publication type
Article
- DOI
10.52280/pujm.2021.530604