3 Recently, in , Yaqoob et al. introduced the notion of (m, n)-bi-Γ-hyperideals and applied the concept of rough set theory to (m, n)-bi-Γ-hyperideals, which is a generalization of (m, n)-bi-Γ-hyperideals of Γ-semihypergroups. In this paper, applying the rough set theory based on an arbitrary binary relation (not an equivalent relation) we extend and… (More)
The concept of Γ-semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ-semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub-Γ-semihyperrings as well as triangular fuzzy Γ-hyperideals of a Γ-semihyperring, and we study a few results in this… (More)
This paper deals with a special class of hyperalgebra, called Boolean hyperalgebra, which is redefined in it. We introduce the concepts of generalized intuitionistic fuzzy subhyperalgebras and generalized intuitionistic fuzzy hyperideals of Boolean hyperalgebras. A necessary and sufficient condition for an intuitionistic fuzzy subset of the Boolean… (More)
The concept of fuzzy soft Γ-ring is introduced; and some properties of fuzzy soft Γ-rings are given. Then the definitions of fuzzy soft Γ-ideals are proposed and some of their theories are considered.
We generalize the Davvaz's paper to the fuzzy submodules of gamma modules and give some characterizations of fuzzy gamma modules.
In this paper, T. K.Duttàs 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… (More)
We investigate the Zariski Topology on the L-prime spectrum of modules consisting of the collection of all prime L-submodules and prove some useful results.