Further research on separated degrees of $M$-fuzzifying convex spaces

Year 2025, Volume: 54 Issue: 1, 57 - 74, 28.02.2025

Han-liang Huang Zhen-yu Xiu

https://doi.org/10.15672/hujms.1348816

Abstract

In this paper, we redefine the concepts of join spaces and product spaces of $M$-fuzzifying convex spaces. Then we further investigate the $S_i$ ($i=0,1,2$) separated degrees of an $M$-fuzzifying convex space in a logical viewpoint. Finally, we study the $S_i$ ($i=0,1,2$) separated degrees of an $M$-fuzzifying convex space from the aspect of convergence structures.

Keywords

M-fuzzifying convex structure, separated degree, M-CP degree, M-CC degree, M-fuzzifying convergence structure

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