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and Applied Analysis 3 Then,M m,n (S) isM n,m (S)-semihyperring . Now, suppose that
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)
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)
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.
We generalize the Davvaz's paper to the fuzzy submodules of gamma modules and give some characterizations of fuzzy gamma modules.
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.