منابع مشابه
On Fuzzy Gamma Hypermodules
Let R be a Γ-hyperring and M be an Γ-hypermodule over R. We introduce and study fuzzy RΓ-hypermodules. Also, we associate a Γhypermodule to every fuzzy Γ-hypermodule and investigate its basic properties.
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The theory of hyperstructures has been introduced byMarty in 1934 during the 8th Congress of the Scandinavian Mathematicians [4]. Marty introduced the notion of a hypergroup and since then many researchers have worked on this new topic of modern algebra and developed it. The notion of a hyperfield and a hyperring was studied first by Krasner [2] and then some authors followed him, for example, ...
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The relationship between the intuitionistic fuzzy sets and the algebraic hyperstructures is described in this paper. The concept of the quasi-coincidence of an intuitionistic fuzzy interval valued with an interval-valued intuitionistic fuzzy set is introduced and this is a natural generalization of the quasi-coincidence of an intuitionistic fuzzy point in intuitionistic fuzzy sets. By using thi...
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In this paper we define and study a new class of subfuzzy hypermodules of a fuzzy hypermodule that we call normal subfuzzy hypermodules. The connection between hypermodules and fuzzy hypermodules can be used as a tool for proving results in fuzzy hypermodules. In this manner we analyse three isomorphism theorems for fuzzy hypermodules.
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Let $G$ be a monoid with identity $e$. In this paper, first we introduce the notions of $G$-graded hyperrings, graded hyperideals and graded hyperfields in the sense of Krasner hyperring $R$. Also, we define the notion of a greded $R$-hypermodules and some examples are presented. Then we investigate graded maximal, graded prime and graded primary hyperideals of a graded hyperring $R$. Finally, ...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2015
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2014.08.002