4.6 Article

A novel entropy measure of Pythagorean fuzzy soft sets

Journal

AIMS MATHEMATICS
Volume 5, Issue 2, Pages 1050-1061

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2020073

Keywords

soft sets; Pythagorean fuzzy soft sets; decision-making; entropy measures

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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 decision-making 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.

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