Fuzzy associative -ideals of IS-algebras.
Fuzzy BCI-subalgebras with interval-valued membership functions.
Fuzzy concepts defined via residuated maps
Fuzzy filter spectrum of a BCK algebra.
Fuzzy filters in BCI-algebras.
Fuzzy ideals extensions of ordered semigroups.
Fuzzy ideals in BE-algebras.
Fuzzy ideals of ordered semigroups with fuzzy orderings
The purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered semigroup with the ordering being a fuzzy relation. Several characterizations of ∈, ∈ ∨qk-fuzzy left (resp. right) ideals and ∈, ∈ ∨qk-fuzzy interior ideals are derived. The lattice structures of all ∈, ∈ ∨qk-fuzzy (interior) ideals on such fuzzy ordered semigroup are studied and some methods are given to construct an ∈, ∈ ∨qk-fuzzy (interior) ideals from an arbitrary fuzzy subset. Finally, the characterizations...
Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras.
Fuzzy interior ideals in ordered semigroups.
Fuzzy multiply positive implicative hyper BCK-ideals of hyper BCK-algebras.
Fuzzy neighborhood structures on partially ordered groups.
Fuzzy n-fold integral filters in BL-algebras
In this paper, we introduce the notion of fuzzy n-fold integral filter in BL-algebras and we state and prove several properties of fuzzy n-fold integral filters. Using a level subset of a fuzzy set in a BL-algebra, we give a characterization of fuzzy n-fold integral filters. Also, we prove that the homomorphic image and preimage of fuzzy n-fold integral filters are also fuzzy n-fold integral filters. Finally, we study the relationship among fuzzy n-fold obstinate filters, fuzzy n-fold integral filters...
Fuzzy positive implicative ordered filters of implicative semigroups.
Fuzzy -algebras with interval-valued membership functions.
Fuzzy quasi-ideals of ordered semigroups.
Fuzzy sets (in)equations with a complete codomain lattice
The paper applies some properties of the monotonous operators on the complete lattices to problems of the existence and the construction of the solutions to some fuzzy relational equations, inequations, and their systems, taking a complete lattice for the codomain lattice. The existing solutions are extremal - the least or the greatest, thus we prove some extremal problems related to fuzzy sets (in)equations. Also, some properties of upper-continuous lattices are proved and applied to systems of...
Fuzzy structures of PI() BCK-ideals in hyper BCK-algebras.
-supplemented property in the lattices
Let be a lattice with the greatest element . Following the concept of generalized small subfilter, we define -supplemented filters and investigate the basic properties and possible structures of these filters.
Galois connections as left adjoint maps