Fuzzy ∗–ideals and their applications in characterizing abundance and regularity of a semigroup
| Autor: | Chunhua Li, Baogen Xu, Huawei Huang |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
Pure mathematics Mathematics::Operator Algebras Semigroup 010102 general mathematics General Engineering 02 engineering and technology 01 natural sciences Fuzzy logic Artificial Intelligence Abundance (ecology) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing 0101 mathematics Mathematics |
| Zdroj: | Journal of Intelligent & Fuzzy Systems. 40:11559-11566 |
| ISSN: | 1875-8967 1064-1246 |
| DOI: | 10.3233/jifs-202759 |
| Popis: | In this paper, the notion of a fuzzy *–ideal of a semigroup is introduced by exploiting generalized Green’s relations L * and R * , and some characterizations of fuzzy *–ideals on an arbitrary semigroup are obtained. Our main purpose is to establish the relationship between fuzzy *–ideals and abundance for an arbitrary semigroup. As an application of our results, we also give some new necessary and sufficient conditions for an arbitrary semigroup to be regular and inverse, respectively. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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