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

Year 2026, Volume: 16 Issue: 2, 281 - 295, 03.02.2026

P. Deivanayagi Tamılselvan Selvan , Vadivel A

Abstract

In this paper, we introduce a Pythagorean Fuzzy nano $M$-open set which is the union of Pythagorean Fuzzy nano $\delta \mathcal{P}$-open sets and Pythagorean Fuzzy nano $\theta \mathcal{S}$-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 nano $M$-$int(A)$ and Pythagorean Fuzzy nano $M$-$cl(A)$ , Pythagorean Fuzzy Entropy

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