$M$-fuzzifying interval spaces
$M$-fuzzifying interval spaces
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DOI：
10.22111/ijfs.2017.3050
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发表时间：
2017-02
影响因子：
1.8
通讯作者：
Zhenyu Xiu;F. Shi̇
中科院分区：
文献类型：
--
作者：
Zhenyu Xiu;F. Shi̇
引入了$M$-模糊化区间空间的概念，讨论了$M$-模糊化区间空间与$M$-模糊化凸结构之间的关系，证明了范畴{bf MYCSA2}可以作为一个反射子范畴嵌入到范畴{bf MYCSA2}中，其中{bf MYCSA2}和{bf MYIS}分别表示$M$-模糊化区间空间的$M$-模糊化凸结构范畴和$M$-不分明化区间空间范畴.在不分明化区间空间的框架下，给出子空间和乘积空间，并得到它们的一些基本性质。
In this paper, we introduce the notion of $M$-fuzzifying interval spaces, and discuss the relationship between $M$-fuzzifying interval spaces and $M$-fuzzifying convex structures.It is proved that the category {bf MYCSA2} can be embedded in the category {bf MYIS} as a reflective subcategory, where {bf MYCSA2} and {bf MYIS} denote the category of $M$-fuzzifying convex structures of $M$-fuzzifying arity $leq 2$ and the category of $M$-fuzzifying interval spaces, respectively. Under the framework of $M$-fuzzifying interval spaces, subspaces and product spaces are presented and some of their fundamental properties are obtained.