Fuzzy Systems and its Applications

Fuzzy Systems and its Applications

Generalization of fuzzy ideal on BI-algebras

Document Type : Original Article

Author
DEPARTMENT OF MATHEMATICS, AHVAZ BRANCH, ISLAMIC AZAD UNIVERSITY, AHVAZ, IRAN.
10.22034/jfsa.2025.499981.1256
Abstract
BI-algebra was introduced in 2017 by Broumand Saeid, Kim and Rezaei. This class of logical BI-algebras has attracted the attention of many researchers. The main goal of this article is to introduce the concepts of T-fuzzy ideal , L-ideal and TL-ideal, , in this algebra. In the following, we will prove some properties of these ideals and establish the Representation theorem for them.
Keywords
Subjects

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Volume 8, Issue 1 - Serial Number 16
Open Access Statement
June 2025
Pages 121-143

  • Receive Date 16 January 2025
  • Revise Date 08 July 2025
  • Accept Date 19 July 2025