Mehmet Ali Öztürk

On fuzzy h -ideals in hemirings

The fuzzy setting of a left h-ideal in a hemiring is constructed, and basic properties are investigated. Using a collection of left h-ideals of a hemiring S, fuzzy left h-ideals of S are established. The notion of a finite valued fuzzy left h-ideal is introduced, and its characterization is given. Fuzzy relations on a hemiring S are discussed.

SOFT WS-ALGEBRAS

Molodtsov [8] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to the theory of subtraction algebras. The notion of soft WS-algebras, soft subalgebras and soft deductive systems are introduced, and their basic properties are derived.

Intuitionistic nil radicals of intuitionistic fuzzy ideals and Euclidean intuitionistic fuzzy ideals in rings

The notion of intuitionistic nil radicals of intuitionistic fuzzy ideals in rings is introduced, and related properties are investigated. The notion of semiprime intuitionistic fuzzy ideals is provided, and its characterization is established. The concept of Euclidean intuitionistic fuzzy ideals is also introduced, and its characterization is established.

ON f-DERIVATIONS OF LATTICES

In this paper, as a generalization of derivation on a lattice, the notion of f -derivation for a lattice is introduced and some related properties are investigated.

Fuzzy soft rings and fuzzy soft ideals

Our aim in this paper is to introduce and study the fuzzy soft ring and

Permuting tri-derivations in lattices

\left( \in,\in\vee q\right)

INTUITIONISTIC FUZZY SETS IN GAMMA-SEMIGROUPS

-fuzzy soft subring that is generalization of fuzzy soft ring. We also study some of their basic properties and give several examples.

-Structures Applied to Closed Ideals in BCH-Algebras

The notion of generalized derivations of a BCI-algebra is introduced, and some related properties are investigated. Also, the concept of a torsion free BCI-algebra is introduced and some properties are discussed.