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M-FUZZIFYING TOPOLOGICAL CONVEX SPACES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 11، دوره 15، شماره 6، بهمن و اسفند 2018، صفحه 159-174 اصل مقاله (440.58 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2018.4373 | ||
| نویسندگان | ||
| Kai Wang؛ Fu-Gui Shi* | ||
| School of Mathematics and statistics, Beijing Institute of Technology, Beijing 100081, P.R. China | ||
| چکیده | ||
| The main purpose of this paper is to introduce the compatibility of $M$-fuzzifying topologies and $M$-fuzzifying convexities, define an $M$-fuzzifying topological convex space, and give a method to generate an $M$-fuzzifying topological convex space. Some characterizations of $M$-fuzzifying topological convex spaces are presented. Finally, the notion of $M$-fuzzifying weak topologies is obtained from $M$-fuzzifying topological convex spaces. | ||
| کلیدواژهها | ||
| $M$-fuzzifying topological convex space؛ $M$-fuzzifying topology؛ $M$-fuzzifying convexity؛ $M$-fuzzifying weak topology؛ Compatibility | ||
| مراجع | ||
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