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On Fuzzy Preordered Structures and (Fuzzy) Hyperstructures
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作者 Irina CRISTEA morteza jafarpour Seyed Sh. MOUSAVI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第9期1787-1798,共12页
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
关键词 Fuzzy preordered semigroup HYPERGROUP fuzzy hyperring mutually associativity
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Classification of Krasner Hyperfields of Order 4
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作者 Mahdeyeh IRANMANESH morteza jafarpour +1 位作者 Hossien AGHABOZORGI Jian Ming ZHAN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2020年第8期889-902,共14页
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
关键词 (semi)hypergroup n-polygroup Krasner hyperfield ISOMORPHISM
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