Affiliations: [a] Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, P.R. China | [b] School of Civil Engineering and Architecture, Yanching Institute of Technology, P.R. China
Correspondence:
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Corresponding author. Fu-Gui Shi, Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R. China. E-mail: fuguishi@bit.edu.cn.
Abstract: The main objective of this paper is to provide some characterizations of M-fuzzifying convex structures in terms of derived operators. We first introduce the notion of M-fuzzifying convexly derived operators, and then establish the one-to-one correspondence between M-fuzzifying convexly derived operators and M-fuzzifying convex structures. Additionally, it is proved that M-fuzzifying CP mappings can be expressed as formulas of derived sets. Finally, we introduce the notion of M-fuzzifying restricted convexly derived operators and prove that it is isomorphic to M-fuzzifying convex structures.
