In this paper, T. K. Dutta`s and S. K. Sardar`s semiprime ideal of -rings as a fuzzy semiprime ideal of a -rings via its operator rings was defined. Some characterizations of fuzzy semiprime ideal of -rings was obtained. That is; a characterization prove of a fuzzy semiprime ideal, the relationship between fuzzy semiprime ideal and fuzzy prime ideal was obtained. If is fuzzy semiprime ideal of ...

In the framework of Henkin style higher-order fuzzy logic à LΠω we construct fuzzy real numbers as fuzzy Dedekind cuts over crisp rationals, and show some of their properties provable in à LΠω. The definitions of algebraic operations and a theory of fuzzy intervals are sketched.

The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. Y.B. Jun and S.Z. Song introduced the notion of intuitionistic fuzzy points. In this paper we find some relations between the intuitionistic fuzzy ideals of a semigroup S and the set of all intuitionistic fuzzy points of S. Keywords—Semigroup, Regular(intra-regular) semigroup, In...

Presented is a completeness theorem for fuzzy equational logic with truth values in a complete residuated lattice: Given a fuzzy set Σ of identities and an identity p ≈ q, the degree to which p ≈ q syntactically follows (is provable) from Σ equals the degree to which p ≈ q semantically follows from Σ. Pavelka style generalization of well-known Birkhoff’s theorem is therefore established.

The aim of this paper is to introduce and study set- valued homomorphism on lattices and T-rough lattice with respect to a sublattice. This paper deals with T-rough set approach on the lattice theory. The result of this study contributes to, T-rough fuzzy set and approximation theory and proved in several papers. Keywords: approximation space; lattice; prime ideal; rough ideal; T-rough set; set...

Fuzzy ideals of pseudo MV-algebras are investigated. The homomorphic properties of fuzzy prime ideals are given. A one-to-one correspondence between the set of maximal ideals and the set of fuzzy maximal ideals μ satisfying μ(0) = 1 and μ(1) = 0 is obtained.

We study fuzzy attribute logic, i.e. a logic for reasoning about formulas of the form A ⇒ B where A and B are fuzzy sets (non-sharp collections) of attributes. A formula A ⇒ B is true in a data table with fuzzy attributes iff each object having all attributes from A has also all attributes from B, membership degrees of A and B playing a role of thresholds. We present a set of axioms and prove s...

Using the concept of intuitionistic fuzzy point, the notion of (∈,∈ ∨q)intuitionistic fuzzy bi-hyperideal of semihypergroups is introduced. Several characterizations of this notion are given and the behavior of this structure under homomorphisms of semihypergroups is discussed. Finally, the notion of prime (semiprime) (∈,∈ ∨q)-intuitionistic fuzzy bi-hyperideal of semihypergroups is introduced ...