Bipolar Intuitionistic Fuzzy Ideals in BCK-Algebras

Authors

  • B. Satyanarayana Acharya Nagarjuna University
  • Shake Baji Sir C.R. Reddy College of Engineering
  • D. Ramesh Koneru Lakshmaih Educational Foundation
  • Aiyared Iampan Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand
  • Gadde Sambasiva Rao Sree Dattha Group of Institutions

DOI:

https://doi.org/10.29020/nybg.ejpam.v19i2.7189

Keywords:

Bipolar Fuzzy Set (BPFS), Bipolar Intuitionistic Fuzzy Set (BPIFS), Bipolar Intuitionistic Fuzzy Subalgebra (BPIFSA), Bipolar Intuitionistic Fuzzy Ideal (BPIFI)

Abstract

This study focuses on unifying theories of bipolar intuitionistic fuzzy sets in the field of BCK-algebras, leading to the development of a new framework for bipolar intuitionistic fuzzy ideals in BCK-algebras. The article introduces the concepts of bipolar intuitionistic fuzzy subalgebras and bipolar intuitionistic fuzzy ideals in BCK-algebras, with illustrative examples. Subsequently, we investigate various related characteristics. We also provide conditions under which a bipolar intuitionistic fuzzy set is considered a bipolar intuitionistic fuzzy ideal.

References

Published

2026-07-28

Issue

Vol. 19 No. 2: (April 2026)

Section

Algebra

License

Copyright (c) 2026 B. Satyanarayana, Shake Baji, D. Ramesh, Aiyared Iampan, Gadde Sambasiva Rao

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How to Cite

Bipolar Intuitionistic Fuzzy Ideals in BCK-Algebras. (2026). European Journal of Pure and Applied Mathematics, 19(2), 7189. https://doi.org/10.29020/nybg.ejpam.v19i2.7189