Title of article :
Characterization of Ordered Semigroups in Terms of Fuzzy Soft Ideals
Author/Authors :
YIN, YUNQIANG East China Institute of Technology - School of Mathematics and Information Sciences - Key Laboratory of Radioactive Geology and Exploration Technology Fundamental Science for National Defense, China , ZHAN, JIANMING Hubei University for Nationalities - Department of Mathematics, China
Abstract :
In this paper, we apply the concept of fuzzy soft sets to ordered semigroup theory. The concepts of (∈γ,∈γ vqδ)-fuzzy left (right) ideals, (∈γ,∈γ vqδ)-fuzzy bi-ideals and (∈γ,∈γ vqδ)-fuzzy quasi-ideals are introduced and some related properties are obtained. Three kinds of lattice structures of the set of all (∈γ,∈γ vqδ)-fuzzy soft left (right) ideals of an ordered semigroup are derived. The characterization of left quasi-regular ordered semigroups and ordered semigroups that are left quasi-regular and intra-regular in terms of (∈γ,∈γ vqδ)-fuzzy left (right) ideals, (∈γ,∈γ vqδ)-fuzzy bi-ideals and (∈γ,∈γ vqδ)-fuzzy quasi-ideals is discussed.
Keywords :
Ordered semigroups , left quasi , regular , intra , regular , fuzzy soft set , (∈γ , ∈γ vqδ ) , fuzzy soft left (right) ideals , (∈γ , ∈γ vqδ ) , fuzzy soft bi , ideals (quasi , ideals)
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
