MORE ON CONTINUOUS AND IRRESOLUTE MAPS IN PYTHAGOREAN FUZZY TOPOLOGICAL SPACES

Year 2025, Volume: 15 Issue: 11, 2697 - 2708, 03.11.2025

Vadivel A , G Gavaskar C John Sundar

Abstract

The new dimension of non-standard fuzzy sets called Pythagorean fuzzy sets which can handle the inaccurate data very strongly has been established in recent days. Even though intuitionistic fuzzy sets were generously used in decision making to handle the imprecise data the novelty and the voluminous of Pythagorean fuzzy environment gives motivation to use it in decision making process. The Pythagorean fuzzy topological spaces are the novel generalization of fuzzy topological spaces. In this paper, we develop the concept of Pythagorean fuzzy $\delta $ continuity which is stronger than Pythagorean fuzzy continuous function in Pythagorean fuzzy topological spaces and specialize some of their basic properties with examples. Also, we introduce and discuss about properties and characterization of Pythagorean fuzzy $\delta$ irresolute maps. Interrelations have been studied elaborately for the defined functions using various examples.

Keywords

Pythagorean fuzzy $\delta$ open set , Pythagorean fuzzy $ \delta$ Continuous , Pythagorean fuzzy $\delta$ Irresolute

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