Pythagorean m-polar Fuzzy Neutrosophic Metric Spaces

Authors

  • Atiqa Siraj Department of Mathematics and Statistics, The University of Lahore, Pakistan;
  • Khalid Naeem Department of Mathematics, Federal Government Degree College, Lahore Cantt., Pakistan;
  • Broumi Said Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco;

Keywords:

Pythagorean m-polar fuzzy neutrosophic set; Pythagorean m-polar fuzzy neutrosophic subset; Pythagorean m-polar fuzzy neutrosophic metric spaces; Pattern recognition

Abstract

Neutrosophy deals with the study of neutrosophic logic, set and probability. A Pythagorean mpolar neutrosophic set is indeed an expansion of crisp, fuzzy, intuitionistic fuzzy, neutrosophic and Pythagorean
m-polar fuzzy sets. In this paper, we develop the perception of Pythagorean m-polar fuzzy neutrosophic metric
space defined over Pythagorean m-polar fuzzy neutrosophic set relying on the classical definition of metric
spaces defined on a crisp set. We present some related results and illustrations to perceive the conceptions.
We present many examples of metrics which hold true for classical sets but fail to make sense in Pythagorean
m-polar fuzzy environment. We also render a practical utility of the proposed metrics in pattern recognition.

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Published

2023-01-01

Issue

Vol. 53 (2023): 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, Khalid Naeem, & Broumi Said. (2023). Pythagorean m-polar Fuzzy Neutrosophic Metric Spaces. Neutrosophic Sets and Systems, 53, 562-579. https://fs.unm.edu/nss8/index.php/111/article/view/3244

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