Applications of Fuzzy Sets on Essential Ideals of n-Ary Semigroups with Zero

An n-ary semigroup is an algebraic system that consists of a non-empty set and an associative n-ary operation. In this paper, we introduce the concepts of essential ideals and essential fuzzy ideals of n-ary semigroups. Furthermore, we investigate certain relationships between essential ideals and essential fuzzy almost ideals in n-ary semigroups.

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Publication Details

Journal
International Journal of Analysis and Applications
Published
2025-08-15
DOI
https://doi.org/10.28924/2291-8639-23-2025-195
Primary Topic
Fuzzy and Soft Set Theory
Type
article
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article

Applications of Fuzzy Sets on Essential Ideals of n-Ary Semigroups with Zero

Pattarawan Singavananda, Ronnason Chinram
International Journal of Analysis and Applications
Fuzzy and Soft Set Theory
article

Applications of Fuzzy Sets on Essential Ideals of n-Ary Semigroups with Zero

Pattarawan Singavananda, Ronnason Chinram
article en

Abstract

An n-ary semigroup is an algebraic system that consists of a non-empty set and an associative n-ary operation. In this paper, we introduce the concepts of essential ideals and essential fuzzy ideals of n-ary semigroups. Furthermore, we investigate certain relationships between essential ideals and essential fuzzy almost ideals in n-ary semigroups.

International Journal of Analysis and ApplicationsVol. 23
Reduced inequalities
Openalex Percentile: Top 75%
Fuzzy and Soft Set Theory
DOIOpen Access PDFOpenAlex
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Applications of Fuzzy Sets on Essential Ideals of n-Ary Semigroups with Zero — Pattarawan Singavananda, Ronnason Chinram · International Journal of Analysis and Applications (2025) | TGRS Research Map | TGRS