Title of article :
ON GENERALIZED FUZZY INTERIOR IDEALS IN Γ-SEMIGROUPS
Author/Authors :
Sardar, Sujit Kumar Jadavpur University - Department of Mathematics, India , Davvaz, Bijan yazd university - Department of Mathematics, يزد, ايران , Majumder, Samit Kumar Jadavpur University - Department of Mathematics, India , Kayal, Soumitra Jadavpur University - Department of Mathematics, India
Abstract :
In this paper, using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concept of (∈, ∈ ∨q)- fuzzy interior ideals in a Γ-semigroup has been introduced and some of their important re- lated properties have been investigated. Characterizations of regular Γ- semigroups, intra-regular Γ-semigroups, and semisimple Γ-semigroups in terms of (∈,∈ ∨q)-fuzzy interior ideals have also been obtained.
Keywords :
Γ , semigroup , Belonging to or quasi , coincident with , (∈ , ∈ ∨q) , fuzzy ideal , (∈ , ∈ ∨q) , fuzzy interior ideal , Regular Γ , semigroup , Intra , regular Γ , semigroup , Semisim , ple Γ , semigroup
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
