Some Properties of Pythagorean Fuzzy Normed Ideals

Authors

  • Manish Kumar Gunjan Department of Mathematics, Lalit Narayan Mithila University, Darbhanga 846004, Bihar, India https://orcid.org/0009-0009-0157-0279
  • Amal Kumar Adak Department of Mathematics, Ganesh Dutt College (affiliated to Lalit Narayan Mithila University), Begusarai 851101, Bihar, India https://orcid.org/0000-0002-3644-782X

DOI:

https://doi.org/10.26713/cma.v16i2.2992

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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References

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Published

20-08-2025
CITATION

How to Cite

Gunjan, M. K., & Adak, A. K. (2025). Some Properties of Pythagorean Fuzzy Normed Ideals. Communications in Mathematics and Applications, 16(2), 631–641. https://doi.org/10.26713/cma.v16i2.2992

Issue

Vol. 16 No. 2 (2025)

Section

Research Article

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