Finite-valued dually residuated lattice-ordered monoids
Function ∪-semigroups
Fundamental order relations on inverse semigroups and on their generalizations.
Fundamental preorders and partial orders on completely [0] simple semigroups.
Fuzzy ideals extensions of ordered semigroups.
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 interior ideals in ordered semigroups.
Fuzzy positive implicative ordered filters of implicative semigroups.
Fuzzy quasi-ideals of ordered semigroups.