Characterizations of Regular and Intra-regular Ordered Semigroups by using Generalized Interval Valued Bipolar Fuzzy Quasi-Ideals

In this article, we introduce the concept of a generalized interval-valued bipolar fuzzy quasi-ideal and investigate its properties. We explore the relationship between generalized interval-valued bipolar fuzzy quasi-ideals and generalized interval-valued bipolar fuzzy ideals. Furthermore, we characterize regular and intra-regular ordered semigroups by utilizing generalized interval valued bipolar fuzzy quasi-ideals.

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Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2024-10-31
DOI
https://doi.org/10.29020/nybg.ejpam.v17i4.5423
Primary Topic
Fuzzy and Soft Set Theory
Type
article
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article

Characterizations of Regular and Intra-regular Ordered Semigroups by using Generalized Interval Valued Bipolar Fuzzy Quasi-Ideals

Tanaphong Prommai, Thiti Gaketem
European Journal of Pure and Applied Mathematics
Fuzzy and Soft Set Theory
article

Characterizations of Regular and Intra-regular Ordered Semigroups by using Generalized Interval Valued Bipolar Fuzzy Quasi-Ideals

Tanaphong Prommai, Thiti Gaketem
article en

Abstract

In this article, we introduce the concept of a generalized interval-valued bipolar fuzzy quasi-ideal and investigate its properties. We explore the relationship between generalized interval-valued bipolar fuzzy quasi-ideals and generalized interval-valued bipolar fuzzy ideals. Furthermore, we characterize regular and intra-regular ordered semigroups by utilizing generalized interval valued bipolar fuzzy quasi-ideals.

European Journal of Pure and Applied MathematicsVol. 17(4)
University of Phayao (TH)
Reduced inequalities
Openalex Percentile: Top 76%
Fuzzy and Soft Set Theory
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