Spherical fuzzy sets and spherical fuzzy TOPSIS method

Spherical fuzzy sets and spherical fuzzy TOPSIS method

All the extensions of ordinary fuzzy sets with three dimensional membership functions such as intuitionistic fuzzy sets (IFS), intuitionistic fuzzy sets of second type (IFS2), and neutrosophic fuzzy sets (NFS) aim at defining the judgments of decision makers/ experts with a more detailed description...

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Veröffentlicht in:Journal of intelligent & fuzzy systems 2019-01, Vol.36 (1), p.337-352
Hauptverfasser: Kutlu Gündoğdu, Fatma, Kahraman, Cengiz
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Decision making
Fuzzy sets
Judgments
Multiple criterion
Subtraction
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description All the extensions of ordinary fuzzy sets with three dimensional membership functions such as intuitionistic fuzzy sets (IFS), intuitionistic fuzzy sets of second type (IFS2), and neutrosophic fuzzy sets (NFS) aim at defining the judgments of decision makers/ experts with a more detailed description. Introduction of generalized three dimensional spherical fuzzy sets (SFS) including some essential differences from the other fuzzy sets is presented in this paper. The new type of fuzzy sets is based on the spherical fuzzy distances which have been already defined in the literature. Arithmetic operations involving addition, subtraction and multiplication are presented together with their proofs. Aggregation operators, score and accuracy functions are developed. The multi-criteria decision making method TOPSIS is extended to spherical fuzzy TOPSIS and an illustrative example is presented. Additionally, a comparative analysis with intuitionistic fuzzy TOPSIS (IF-TOPSIS) is given.
doi_str_mv 10.3233/JIFS-181401
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subjects Decision making
Fuzzy sets
Judgments
Multiple criterion
Subtraction
title Spherical fuzzy sets and spherical fuzzy TOPSIS method
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