in this paper, we introduce the notion of $m$-fuzzifying interval spaces, and discuss the relationship between $m$-fuzzifying interval spaces and $m$-fuzzifying convex structures.it is proved that the category {bf mycsa2} can be embedded in the category {bf myis} as a reflective subcategory, where {bf mycsa2} and {bf myis} denote the category of $m$-fuzzifying convex structures of...
