Fuzzy Ideals And Fuzzy Congruences On Several Classes Of Semigroups

Firstly,in this text,we introduce the conception of anti-normal fuzzy ideal,afterwords discuss some properties of it.We use some fuzzy ideal to describe the anti-normal fuzzy ideal equivalently.Secondly,the definitions of fuzzy relations and fuzzy congruences on semigroups and inverse Γ-semigroups are introduced,and some fuzzy congruences on inverse Γ-semigroups are discussed.Finally,the definitions ofΓ-semigroups and Γ-LA-semigroups and their respective anti-intuitionistic fuzzyΓ-subsemigroups are introduced,and then their respective anti-intuitionistic fuzzy left(right)Γ-ideals,anti-intuitionistic fuzzy Γ-ideals,anti-intuitionistic fuzzy doubleΓ-ideals,anti-intuitionistic fuzzy inner Γ-ideals,as well as their relations and some of their own properties are discussed.