Pythagorean m-polar Fuzzy Neutrosophic Topology with Applications

Authors

  • Atiqa Siraj Department of Mathematics and Statistics, The University of Lahore
  • Tehreem Fatima Department of Mathematics and Statistics, The University of Lahore
  • Deeba Afzal Department of Mathematics and Statistics, The University of Lahore
  • Khalid Naeem Department of Mathematics, FG Degree College
  • Faruk Karaaslan Department of Mathematics, C¸ ankırı Karatekin University

Keywords:

Pythagorean m-polar fuzzy neutrosophic set, Pythagorean m-polar fuzzy neutrosophic topology, TOPSIS; COVID-19

Abstract

The overarching structures like intuitionistic fuzzy sets, Pythagorean fuzzy sets, m-polar fuzzy sets, and neutrosophic fuzzy sets etc. have their own inadequacies and impediments. These models are unable to do work because of their impediments in many real life situations. To overcome these deficiencies, in this paper, we introduce a set entitled Pythagorean m-polar fuzzy neutrosophic set (PmFNS), as a hybrid model of Pythagorean fuzzy set, m-polar fuzzy set and single-valued neutrosophic set. We define some notions related to PmFNS with the help of illustrations. We also present some concept of Pythagorean m-polar fuzzy neutrosophic topology alongside its leading characteristics. We render two applications of PmFNS of scarcity of water and
uplifting economy ruined due to COVID-19 using TOPSIS.

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Published

2022-02-16

Issue

Vol. 48 (2022): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Atiqa Siraj, Fatima, T. ., Afzal, D. ., Naeem, K. ., & Karaaslan, F. . (2022). Pythagorean m-polar Fuzzy Neutrosophic Topology with Applications. Neutrosophic Sets and Systems, 48, 251-290. https://fs.unm.edu/nss8/index.php/111/article/view/2103