A new characterization of fuzzy ideals of semigroups and its applications

Automatika

Huawei Huang¹  Baogen Xu²  Chunhua Li² 

[1] School of Mathematics & Computer Science, Guizhou Normal University, Guiyang, Guizhou, People's Republic of Chin;School of Science, East China Jiaotong University, Nanchang, Jiangxi, People's Republic of Chin;

关键词: Fuzzy sets;    fuzzy star ideals;    abundant semigroups;    abundance;    regularity;    20M20;   

DOI  :  10.1080/00051144.2021.1982239

来源: Taylor & Francis

【 摘 要 】

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.

【 授权许可】

CC BY