Fuzzy Systems and its Applications

Fuzzy Systems and its Applications

Stabilizers in monadic BL-algebras

Document Type : Original Article

Author
Saeide Zahiri
Higher education center of Eghlid
10.22034/jfsa.2026.572370.1297
Abstract
In this article, we introduce and investigate the concepts of stabilizer of a subset and stabilizier a subset with respect to another subset in monadic BL-algebras. We show that the stabilizer of a set is a monadic filter, and the stabilizer of a monadic filter with respect to each other is a monadic filter. By giving examples and proving theorems, we try to investigate, study deeply, and understand more about monadic BL-algebras using stabilizers factors. We also prove that in monadic BL-linear algebras, the stabilizers factor of a set is a first singular filter. Finally, we study the effect of stabilizers factors on quotient monadic BL-algebras.
Keywords
non-classical logic
monadic BL-algebra
stabilizer
monadic filter
Subjects

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Fuzzy Systems and its Applications
Volume 9, Issue 1 - Serial Number 18
Open Access Statement
June 2026
Pages 135-152

  • Receive Date 27 January 2026
  • Revise Date 02 July 2026
  • Accept Date 11 August 2026