M-FUZZIFYING TOPOLOGICAL CONVEX SPACES

نویسندگان
Shi, Fu-Gui ID 1
Wang, Kai ID 2

1 School of Mathematics and statistics, Beijing Institute of Technology, Beijing 100081, P.R. China

2 School of Mathematics and statistics, Beijing Institute of Technology, Beijing 100081, P.R. China

doi
10.22111/ijfs.2018.4373
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