Original scientific paper
https://doi.org/10.1080/00051144.2021.1982239
A new characterization of fuzzy ideals of semigroups and its applications
Chunhua Li
; School of Science, East China Jiaotong University, Nanchang, Jiangxi, People's Republic of China
Baogen Xu
; School of Science, East China Jiaotong University, Nanchang, Jiangxi, People's Republic of China
Huawei Huang
; School of Mathematics & Computer Science, Guizhou Normal University, Guiyang, Guizhou, People's Republic of China
Abstract
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.
Keywords
Fuzzy sets; fuzzy star ideals; abundant semigroups; abundance; regularity
Hrčak ID:
269925
URI
Publication date:
20.10.2021.
Visits: 687 *