NOVEL POSSIBILITY SPHERICAL FUZZY SOFT SET MODEL AND ITS APPLICATION FOR A DECISION MAKING

NOVEL POSSIBILITY SPHERICAL FUZZY SOFT SET MODEL AND ITS APPLICATION FOR A DECISION MAKING

M. Palanikumar, K. Arulmozhi

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Abstract

We talk about possibility spherical fuzzy soft set (shortly PSFS set) has much stronger ability than possibility Pythagorean fuzzy soft set (shortly PPFS set) and intuitionistic fuzzy soft set. The PSFS soft set is a generalization of PPFS set and soft set. Here we talk through some operations consisting of complement, union, intersection, AND and OR. We verify that the De Morgan’s laws, associate laws and distributive laws are satisfied in the case of PSFS sets. Also we discuss comparative analysis for the soft set model under the scheme of PSFS sets. Finally, an illustrative example is mentioned for the soft set model using PSFS set.

Keywords

PSFS set, SFS set, decision making problem.