WEAKER FORMS OF OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION USING ENTROPY MEASURE

WEAKER FORMS OF OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION USING ENTROPY MEASURE

P. Deivanayagi, S. Tamilselvan, A. Vadivel

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Abstract

In this paper, we introduce a Pythagorean Fuzzy nano M-open set which is the union of Pythagorean Fuzzy nano δP-open sets and Pythagorean Fuzzy nano θS-open sets in Pythagorean Fuzzy nano topological spaces. Also, we discuss about near open sets, their properties and examples of a Pythagorean Fuzzy nano M-open set. Moreover, we investigate some of their basic properties and examples of Pythagorean Fuzzy nano M-interior and M-closure in a Pythagorean Fuzzy nano topological spaces. One real life applications, one on better way of shopping, based on this proposed entropy measure are also illustrated.

Keywords

Pythagorean Fuzzy nano M-open sets, Pythagorean Fuzzy nano M-closed sets, Pythagorean Fuzzy nanoM-int(A) and Pythagorean Fuzzy nanoM-cl(A), Pythagorean Fuzzy Entropy.