A new characterization of fuzzy ideals of semigroups and its applications

In this paper, we develop a new technique for constructing fuzzy ideals of a semigroup. By using generalized Green's relations, fuzzy star ideals are constructed. It is shown that the new fuzzy ideal of a semigroup can be used to investigate the relationship between fuzzy sets and abundance and...

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Bibliographic Details
Published inAutomatika Vol. 62; no. 3-4; pp. 407 - 414
Main Authors Li, Chunhua, Xu, Baogen, Huang, Huawei
Format Journal Article Paper
LanguageEnglish
Croatian
Published Ljubljana Taylor & Francis 02.10.2021
Taylor & Francis Ltd
KoREMA - Hrvatsko društvo za komunikacije,računarstvo, elektroniku, mjerenja i automatiku
Taylor & Francis Group
Subjects
abundance
abundant semigroups
Fuzzy sets
fuzzy star ideals
Regularity
Semigroups
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Summary:In this paper, we develop a new technique for constructing fuzzy ideals of a semigroup. By using generalized Green's relations, fuzzy star ideals are constructed. It is shown that the new fuzzy ideal of a semigroup can be used to investigate the relationship between fuzzy sets and abundance and regularity for an arbitrary semigroup. Appropriate examples of such fuzzy ideals are given in order to illustrate the technique. Finally, we explain when a semigroup satisfies conditions of regularity.
Bibliography:269925
ISSN:0005-1144
1848-3380
DOI:10.1080/00051144.2021.1982239