This article presents a connection between fuzzy preordered structures and hyperstructures. Firstly, we introduce the notion of fuzzy preordered semigroup and then, we construct a semihypergroup associated with it, gi...This article presents a connection between fuzzy preordered structures and hyperstructures. Firstly, we introduce the notion of fuzzy preordered semigroup and then, we construct a semihypergroup associated with it, giving some properties of the associated hyperstructure. Secondly, we define the notion of fuzzy preordered ring in order to construct a fuzzy hyperring.展开更多
In this paper,first we introduce n-polygroups and characterize 2-polygroups of order 4 up to isomorphism.Then using 2-polygroups we introduce 2-Krasner hyperfields and we show that there exactly exists one 2-Krasner h...In this paper,first we introduce n-polygroups and characterize 2-polygroups of order 4 up to isomorphism.Then using 2-polygroups we introduce 2-Krasner hyperfields and we show that there exactly exists one 2-Krasner hyperfield of order 4.Moreover,we propose a hyperfield of order 4 which is not as a quotient hyperfield F/G.Finally,some programs written in MATLAB which are based on obtained results compute the number of polygroups,weak polygroups and Krasner hyperfields of order4 up to isomorphism.展开更多
文摘This article presents a connection between fuzzy preordered structures and hyperstructures. Firstly, we introduce the notion of fuzzy preordered semigroup and then, we construct a semihypergroup associated with it, giving some properties of the associated hyperstructure. Secondly, we define the notion of fuzzy preordered ring in order to construct a fuzzy hyperring.
文摘In this paper,first we introduce n-polygroups and characterize 2-polygroups of order 4 up to isomorphism.Then using 2-polygroups we introduce 2-Krasner hyperfields and we show that there exactly exists one 2-Krasner hyperfield of order 4.Moreover,we propose a hyperfield of order 4 which is not as a quotient hyperfield F/G.Finally,some programs written in MATLAB which are based on obtained results compute the number of polygroups,weak polygroups and Krasner hyperfields of order4 up to isomorphism.
