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M-FUZZIFYING INTERVAL SPACES | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 11، دوره 14، شماره 1، بهار 2017، صفحه 145-162 اصل مقاله (442.87 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3050 | ||
نویسندگان | ||
Zhen-Yu Xiu ![]() | ||
1College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610000, P.R. China | ||
2chool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R. China | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
$M$-fuzzifying interval spaces؛ $M$-fuzzifying convex structures؛ $M$-fuzzifying interval preserving functions؛ Subspaces؛ Product spaces | ||
مراجع | ||
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