M-FUZZIFYING TOPOLOGICAL CONVEX SPACES

Authors

  • Fu-Gui Shi School of Mathematics and statistics, Beijing Institute of Technology, Beijing 100081, P.R. China
  • Kai Wang School of Mathematics and statistics, Beijing Institute of Technology, Beijing 100081, P.R. China
Abstract:

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.

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Journal title

volume 15  issue 6

pages  159- 174

publication date 2018-12-30

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