Interval-Valued Neutrosophic Fuzzy n-Fold Positive Implicative Ideals of BCK-Algebras: Properties and Characterizations

Authors

  • K Anjaneyulu Naik Department of mathematics, Acharya Nagarjuna University, Guntur, Andhrapradesh, India-522 510;
  • B Satyanarayana Department of mathematics, Acharya Nagarjuna University, Guntur, Andhrapradesh, India-522 510;
  • D Ramesh Department of Engineering mathematics, College of Engineering, Koneru Lakshmaiah Educational Foundation, Vaddeswaram, Andhra Pradesh, India-522 302;
  • B Tandava Krishna Department of Engineering mathematics, Lakireddy Bali Reddy College Of Engineering, L.B Reddy Nagar, mylavaram, Andhra Pradesh, India-521 230;

Keywords:

Interval-valued neutrosophic fuzzy n-fold Positive implicative ideals; interval-valued neutrosophic fuzzy n-fold BCK-ideal; interval-valued neutrosophic fuzzy set; BCK-algebra.

Abstract

This paper investigation elucidates the notion of interval-valued neutrosophic fuzzy n-fold ideals
 in BCK-algebras, with a specific focus on interval-valued neutrosophic fuzzy n-fold BCK-ideal and interval
valued neutrosophic fuzzy n-fold positive implicative ideals. A comprehensive examination of the characteriza
tion theorems and extension properties of these ideals is undertaken. Notably, it is demonstrated that every
 interval-valued neutrosophic fuzzy n-fold BCK-ideal is an interval-valued neutrosophic fuzzy ideal, and every
 interval-valued neutrosophic fuzzy n-fold positive implicative ideal is an interval-valued neutrosophic fuzzy ideal.
 Furthermore, counterexamples are constructed to delineate the limitations of these concepts

 

DOI: 10.5281/zenodo.17088824

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Published

2026-01-25

Issue

Vol. 95 (2026): Neutrosophic Sets and Systems

Section

Article

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Copyright (c) 2025 Neutrosophic Sets and Systems

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How to Cite

K Anjaneyulu Naik, B Satyanarayana, D Ramesh, & B Tandava Krishna. (2026). Interval-Valued Neutrosophic Fuzzy n-Fold Positive Implicative Ideals of BCK-Algebras: Properties and Characterizations. Neutrosophic Sets and Systems, 95, 341-358. https://fs.unm.edu/nss8/index.php/111/article/view/7246