Abstract. In several applied disciplines like control engineering, computer sciences, error-correcting codes and fuzzy automata the-ory, the use of fuzzified algebraic structures especially ordered semi-groups and their fuzzy subsystems play a remarkable role. In this paper, we introduce the notion of (∈, ∈ ∨qk)-fuzzy subsystems of ordered semigroups namely (∈, ∈ ∨qk)-fuzzy generalized bi-ideals of ordered semigroups. The important milestone of the present pa-per is to link ordinary generalized bi-ideals and (∈, ∈ ∨qk)-fuzzy generalized bi-ideals. Moreover, different classes of ordered semi-groups such as regular and left weakly regular ordered semigroups are characterized by the properties of this new notion. Finally, the upper part of a (...
Algebraic structures especially an ordered semigroups play a prominent role in mathematics with wide...
In this paper, we demonstrate a new concept of fuzzy bi-ideals called a \(( \lambda ,\theta ) \)-fuz...
In this paper,as a further generalization of ideals, we introduce the notion of bi-quasi ideal of Г-...
In several advanced fields like control engineering, computer science, fuzzy automata, finite state ...
Let S be an ordered semigroup. In this paper we first introduce the concepts of (∈,∈ ∨q)-fuzzy ideal...
Abstract. Using the idea of a quasi-coincedence of a fuzzy point with a fuzzy set, the concept of an...
In Jun et al. (Bull Malays Math Sci Soc (2) 32(3):391–408, 2009), (α, β)-fuzzy bi-ideals are introdu...
A new trend of using fuzzy algebraic structures in various applied sciences is becoming a central fo...
An ordered semigroup (algebraic structure) is a semigroup together with a partial order that is comp...
AbstractIn this paper we characterize different classes of ordered semigroups by the properties of t...
The purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered se...
In this paper, we endow set S with the structure of an ordered semigroup and define “intuitionistic ...
AbstractGeneralizing the notions of (∈,∈∨q)-fuzzy ideal, (∈,∈∨q)-fuzzy quasi-ideal and (∈,∈∨q)-fuzzy...
AbstractUsing the ideas of belonging and quasi-coincidence of a fuzzy point with a fuzzy set, the co...
In this paper, we endow set S with the structure of an ordered semigroup and define “intuitionistic ...
Algebraic structures especially an ordered semigroups play a prominent role in mathematics with wide...
In this paper, we demonstrate a new concept of fuzzy bi-ideals called a \(( \lambda ,\theta ) \)-fuz...
In this paper,as a further generalization of ideals, we introduce the notion of bi-quasi ideal of Г-...
In several advanced fields like control engineering, computer science, fuzzy automata, finite state ...
Let S be an ordered semigroup. In this paper we first introduce the concepts of (∈,∈ ∨q)-fuzzy ideal...
Abstract. Using the idea of a quasi-coincedence of a fuzzy point with a fuzzy set, the concept of an...
In Jun et al. (Bull Malays Math Sci Soc (2) 32(3):391–408, 2009), (α, β)-fuzzy bi-ideals are introdu...
A new trend of using fuzzy algebraic structures in various applied sciences is becoming a central fo...
An ordered semigroup (algebraic structure) is a semigroup together with a partial order that is comp...
AbstractIn this paper we characterize different classes of ordered semigroups by the properties of t...
The purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered se...
In this paper, we endow set S with the structure of an ordered semigroup and define “intuitionistic ...
AbstractGeneralizing the notions of (∈,∈∨q)-fuzzy ideal, (∈,∈∨q)-fuzzy quasi-ideal and (∈,∈∨q)-fuzzy...
AbstractUsing the ideas of belonging and quasi-coincidence of a fuzzy point with a fuzzy set, the co...
In this paper, we endow set S with the structure of an ordered semigroup and define “intuitionistic ...
Algebraic structures especially an ordered semigroups play a prominent role in mathematics with wide...
In this paper, we demonstrate a new concept of fuzzy bi-ideals called a \(( \lambda ,\theta ) \)-fuz...
In this paper,as a further generalization of ideals, we introduce the notion of bi-quasi ideal of Г-...