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A novel entropy measure of Pythagorean fuzzy soft sets

Authors :
T. M. Athira
Sunil Jacob John
Harish Garg
Source :
AIMS Mathematics, Vol 5, Iss 2, Pp 1050-1061 (2020)
Publication Year :
2020
Publisher :
AIMS Press, 2020.

Abstract

Pythagorean fuzzy soft set (PFSS) is one of the useful extension of the Pythagorean fuzzy set (PFS) to deal with the vagueness and uncertainties in the data. The major advantages of PFSS over the other existing sets are to consider the parameterized tool of the family of PFS. Keeping this advantage, in this paper we define some new entropy measures for PFSS to compute the degree of fuzziness of the set. The axiomatic definition and their validity are stated. The larger the entropy, the lesser the vagueness and so, the decision making based on entropy is a useful one. Further, a decisionmaking algorithm is explored to solve the decision-making problem under the PFSS environment. A numerical example is given to validate the method and compare their performance with the existing intuitionistic fuzzy soft set entropy measures.

Details

Language :
English
ISSN :
24736988
Volume :
5
Issue :
2
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.0cebaccbb4364be2bf0453fc593f46f2
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2020073/fulltext.html