4.7 Article

M-Hazy Vector Spaces over M-Hazy Field

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Summary: This paper introduces basic notions of (L, M)-fuzzy convex structures and explores their relationship with (L, M)-fuzzy convex structures, including equivalent forms, fuzzy hull operators, and fuzzy interval operators. It is shown that there is a Galois correspondence between (L, M)-fuzzy interval spaces and (L, M)-fuzzy convex spaces, with the category of arity 2 (L, M)-fuzzy convex spaces embedding as a fully reflective subcategory in the category of (L, M)-fuzzy interval spaces.

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