NOVEL POSSIBILITY PYTHAGOREAN INTERVAL VALUED FUZZY SOFT SET METHOD FOR A DECISION MAKING

NOVEL POSSIBILITY PYTHAGOREAN INTERVAL VALUED FUZZY SOFT SET METHOD FOR A DECISION MAKING

M. Palanikumar, K. Arulmozhi

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Abstract

We discuss the theory of possibility Pythagorean interval valued fuzzy soft set, possibility interval valued fuzzy soft set and de ne some related the operations namely complement, union, intersection, AND and OR. The possibility Pythagorean interval valued fuzzy soft sets are a generalization of soft sets. Notably, we showed De- Morgan's laws that are valid in possibility Pythagorean interval valued fuzzy soft set theory. Also, we propose an algorithm to solve the decision making problem based on soft set method. To compare two possibilities Pythagorean interval valued fuzzy soft sets for dealing with decision making problems and  nd a similarity measure is obtained. Finally, an illustrative example is discussed to prove that they can be e ectively used to solve problems with uncertainties.

Keywords

Interval valued fuzzy soft set, Pythagorean interval valued fuzzy soft set, Possibility Pythagorean interval valued fuzzy soft set.