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

Authors

  • Mohanarao Navuluri Department of Mathematics, Annamalai University, Annamalai Nagar - 608002, Tamil Nadu, INDIA Author
  • K. Shantha lakshmi Department of Mathematics, M. Kumarasamy College of Engineering, Karur - 639113, Tamil Nadu, INDIA Author
  • P. Periyasamy Department of Mathematics, Selvam College of Technology, Namakkal - 637003, Tamil Nadu, INDIA Author

DOI:

https://doi.org/10.56827/SEAJMMS.2025.2103.13

Keywords:

$\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

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.

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Published

2026-02-17

Issue

Vol. 21 No. 3 (2025): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Research Article