Some Properties of Pythagorean Fuzzy Normed Ideals

Authors

  • Amal Adak Assistant Professor, Department of Mathematics, Ganesh Dutt College, Begusarai
  • Manish Kumar Gunjan

Keywords:

Intuitionistic fuzzy set, Pythagorean fuzzy set, Pythagorean fuzzy normed ideal.

Abstract

Pythagorean fuzzy sets are an advanced extension of fuzzy sets, building upon the framework of intuitionistic fuzzy sets and offering a more comprehensive solution to the limitations inherent in intuitionistic fuzzy theory. This study introduces the concept of Pythagorean fuzzy normed ideals (PFNIs). It explores the intrinsic product between two PFNIs, presenting key results related to this operation. Additionally, the study introduces the concept of characteristic functions in the context of PFNIs and discusses several significant properties of these functions. Furthermore, important findings concerning the epimorphism of Pythagorean fuzzy normed ideals are also presented.

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Published

20-08-2025

How to Cite

Adak, A., & Gunjan, M. K. (2025). Some Properties of Pythagorean Fuzzy Normed Ideals. Communications in Mathematics and Applications, 16(2). Retrieved from https://www.journals.rgnpublications.com/index.php/cma/article/view/2992

Issue

Vol. 16 No. 2 (2025)

Section

Research Article

License

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