Abstract
In this paper, the relations between M-fuzzifying cotopologies and M-fuzzifying closure systems, and the relations between M-fuzzifying convex structures and M-fuzzifying closure systems are studied, respectively. A categorical approach is provided to present these relations. It is shown that the category of M-fuzzifying cotopological spaces and the category of M-fuzzifying convex spaces are both bicoreflective subcategories of the category of M-fuzzifying closure spaces.
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