Bipolar Fuzzy Hilbert Algebras

The notions of bipolar fuzzy subalgebras and bipolar fuzzy ideals of Hilbert algebras are introduced and studied in this work.There are given relationships between a bipolar fuzzy subalgebra and a bipolar fuzzy ideal.The characterizations of a bipolar fuzzy ideal are described, as well as a requirement for a bipolar fuzzy subalgebra to be a bipolar fuzzy ideal.The concept of equivalence relations on the family of all bipolar fuzzy ideals is explored, as well as certain associated features.

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Publication Details

Journal
Proyecciones (Antofagasta)
Published
2025-04-04
DOI
https://doi.org/10.22199/issn.0717-6279-5331
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00

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article

Bipolar Fuzzy Hilbert Algebras

Aiyared Iampan, N. Rajesh, J. Princivishvamalar
Proyecciones (Antofagasta)
Advanced Algebra and Logic
article

Bipolar Fuzzy Hilbert Algebras

Aiyared Iampan, N. Rajesh, J. Princivishvamalar
article en

Abstract

The notions of bipolar fuzzy subalgebras and bipolar fuzzy ideals of Hilbert algebras are introduced and studied in this work.There are given relationships between a bipolar fuzzy subalgebra and a bipolar fuzzy ideal.The characterizations of a bipolar fuzzy ideal are described, as well as a requirement for a bipolar fuzzy subalgebra to be a bipolar fuzzy ideal.The concept of equivalence relations on the family of all bipolar fuzzy ideals is explored, as well as certain associated features.

Proyecciones (Antofagasta)Vol. 44(2)
Government of Malaysia (MY), University of Phayao (TH)
University of Phayao, Thailand Science Research and Innovation
Openalex Percentile: Top 91%
Advanced Algebra and Logic
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