@article{Pradhan2025, 
author = {Ashutosh Pradhan and G. Muhiuddin and Rajesh Kumar Shukla and Tami Alsubie},
title = {SR-fuzzy subalgebras and ideals in BCK/BCI-algebras},
year = {2025},
journal = {Fuzzy Information and Engineering},
volume = {17},
number = {4},
pages = {395-407},
keywords = {SR-fuzzy set, BCK/BCI-algebras, SR-fuzzy BCK/BCI-subalgebras, SR-fuzzy BCK/BCI-algebras ideals},
url = {https://www.sciopen.com/article/10.26599/FIE.2025.9270068},
doi = {10.26599/FIE.2025.9270068},
abstract = {This paper introduces the concepts of SR-fuzzy subalgebras and ideals within the framework of BCK/BCI-algebras. SR-fuzzy subalgebras are defined and illustrated with various examples to elucidate their structure and behaviour under different operations in BCK/BCI-algebras. The research explores the properties of SR-fuzzy subalgebras and ideals, investigating their interrelationships and establishing that every SR-fuzzy ideal is an SR-fuzzy subalgebra, although the reverse is not necessarily true. Conditions under which an SR-fuzzy subalgebra qualifies as an SR-fuzzy ideal are also discussed. Through various examples, this paper illustrates these concepts and highlights potential areas for further exploration. This study contributes to the expanding literature on fuzzy sets and their applications in algebraic structures, offering insights that may benefit future research endeavours.}
}