Title of article :
Ordered -Semigroups and Fuzzy -Ideals
Author/Authors :
Mahboob, Ahsan Department of Mathematics - Madanapalle Institute of Technology & Science - Madanapalle-517325, India , Davvaz, Bijan Department of Mathematics - Yazd University - Yazd, Iran , Khan, Noor Mohammad Department of Mathematics - Aligarh Muslim University - Aligarh-202002, India
Abstract :
We prove that fuzzy generalized bi--ideal and fuzzy interior -ideal in a right weakly regular ordered -semigroup are fuzzy - ideal. We also show that every fuzzy generalized bi--ideal in a duo right
weakly regular ordered -semigroup is a fuzzy interior -ideal. Then, by
using fuzzy -ideals, fuzzy bi--ideals, fuzzy generalized bi--ideals and
fuzzy interior -ideals, left simple, right simple and simple ordered -
semigroups have been characterized. Finally, we characterize right weakly
regular ordered -semigroups by its fuzzy -ideals, fuzzy bi--ideals, fuzzy
generalized bi--ideals and fuzzy interior -ideals.
Keywords :
Ordered -semigroups , Right weakly regular ordered -Semigroups , Fuzzy sets , Fuzzy -ideals
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
