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Research Article

$\delta$-CONTINUOUS AND IRRESOLUTE MAPS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION

M
Mohanarao Navuluri Department of Mathematics, Annamalai University, Annamalai Nagar - 608002, Tamil Nadu, INDIA
K
K. Shantha lakshmi Department of Mathematics, M. Kumarasamy College of Engineering, Karur - 639113, Tamil Nadu, INDIA
P
P. Periyasamy Department of Mathematics, Selvam College of Technology, Namakkal - 637003, Tamil Nadu, INDIA
Volume 21, Issue 3 Pages 197-220 December 30, 2025 1 downloads
Article overview

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.

AMS Subject Classification

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

Reference information

How to Cite

Mohanarao Navuluri, K. Shantha lakshmi, P. Periyasamy (2025). $\delta$-CONTINUOUS AND IRRESOLUTE MAPS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION. South East Asian Journal of Mathematics and Mathematical Sciences, 21(3), 197-220.
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