Abstract

In this paper, we develop the concept of Pythagorean fuzzy nano (resp. $ \delta $, $ \delta \mathcal{P} $, $ \delta \mathcal{S} $, $ \delta \alpha $ $ \& $ $ \delta \beta $ or $ e^{*} $)-continuity in Pythagorean fuzzy nano topological spaces and specialize some of their basic properties with examples. Also, we discuss about properties and characterization of Pythagorean fuzzy irresolute maps and application of Multiple Criteria Decision Making (MCDM) techniques to the real-world problem using a proposed similarity measure in Pythagorean fuzzy nano topological spaces.

Keywords and Phrases

$\mathcal{PF} \mathfrak{N} \delta Cts $, $\mathcal{PF} \mathfrak{N} \delta \mathcal{S} Cts $, $\mathcal{PF} \mathfrak{N} \delta Irr$ , $\mathcal{PF} \mathfrak{N} \delta \mathcal{S} Irr$ and Zhang similarity measure.

A.M.S. subject classification

03E72, 54A40, 54C05, 94D05.

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