SB-OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES

SB-OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES

M. Navuluri, K. Shantha Lakshmi, A. Vadivel, V. Sivakumar

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Abstract

The purpose of this paper is to dene and study a new class of sets called Pythagorean fuzzy nano  (resp.  pre,  semi,  and )-open sets in Pythagorean fuzzy nano topological spaces. Analyse the basic properties of Pythagorean fuzzy nano  (resp.  pre,  semi,  and )-open (resp. closed) sets. We also used them to introduce the new notions like Pythagorean fuzzy nano  (resp.  pre,  semi,  and )-closure (resp. interior) and investigate their relations with already existing well known sets. We apply entropy measure for decision making problem of selecting the optimum wastewater treatment method for the dying factories based on the required criteria.

Keywords

Pythagorean fuzzy nano open set, Pythagorean fuzzy nano  open set, Pythagorean fuzzy nano  interior, Pythagorean fuzzy nano  closure.