Abstract
We first introduce (λ, μ)-fuzzy ideals and (λ, μ)-fuzzy interior ideals of an ordered Γ -semigroup. Then we prove that in regular and in intra-regular ordered semigroups the (λ, μ)-fuzzy ideals and the (λ, μ)-fuzzy interior ideals coincide. Lastly, we introduce (λ, μ)-fuzzy simple ordered Γ -semigroup and characterize the simple ordered Γ -semigroups in terms of (λ, μ)-fuzzy interior ideals.
Highlights
Introduction and preliminariesThe formal study of semigroups began in the early twentieth century
Semigroups are important in many areas of mathematics, for example, coding and language theory, automata theory, combinatorics and mathematical analysis
Γ -semigroups were first defined by Sen and Saha [ ] as a generalization of semigroups and studied by many researchers [ – ]
Summary
Introduction and preliminariesThe formal study of semigroups began in the early twentieth century. We study (λ, μ)-fuzzy ideals in ordered Γ -semigroups. Second) intuitionistic (λ, μ)-fuzzy Γ -subsemigroup (briefly (λ, μ)-IFΓ S Second) intuitionistic (λ, μ)-fuzzy left Γ -ideal (briefly (λ, μ)-IFLΓ I
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
