Title of article :
On the Generalization of Interval Valued (ϵ, ϵ 𝑉𝑞𝑘)-Fuzzy bi-Ideals in Ordered Semigroups
Author/Authors :
Ali Khan ، M. S. Department of Mathematics - Hazara University , Abdullah ، S. Department of Mathematics - Abdul Wali Khan University , Hila ، K. Department of Mathematical Engineering - Polytechnic University of Tirana
Abstract :
In this paper, we introduce a new sort of interval valued (ϵ, ϵ 𝑉𝑞𝑘)-fuzzy bi-ideal in ordered semigroups which is the general- ization of interval valued (ϵ, ϵ 𝑉𝑞𝑘)-fuzzy bi-ideal and interval valued (ϵ, ϵ 𝑉𝑞𝑘)-fuzzy bi-ideal of ordered semigroups. We give examples in which we show that these structures are more general than previous one. Fi- nally, we characterize ordered semigroup by the property of interval val- ued (ϵ, ϵ 𝑉𝑞𝑘)-implication based fuzzy bi-ideals.
Keywords :
Interval valued fuzzy bi , ideal , Interval valued (ϵ , ϵ 𝑉𝑞𝑘) , fuzzy
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
