University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065415620181230M-FUZZIFYING TOPOLOGICAL CONVEX SPACES159174437310.22111/ijfs.2018.4373ENKaiWangSchool of Mathematics and statistics, Beijing Institute of Technology,
Beijing 100081, P.R. ChinaFu-GuiShiSchool of Mathematics and statistics, Beijing Institute of Technology,
Beijing 100081, P.R. ChinaJournal Article20170409The 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.http://ijfs.usb.ac.ir/article_4373_e339b7cb16c558465e67f0154f15b7cd.pdf