In this paper, S0, S1 and S2 separation axioms are introduced in (L, M)-fuzzy convex spaces. Each (L, M)-fuzzy convex space can be regarded to be S0, S1 and S2 separated to some degree. Some properties of them are investigated. Moreover, the degrees to which a function is convex preserving, convex-to-convex or isomorphic are defined in (L, M)-fuzzy convex spaces by using implication operation. Their relationships with the degrees of S0, S1 and S2 separation axioms are discussed.
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