Separation axioms in (L, M)-fuzzy convex spaces.

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. [ABSTRACT FROM AUTHOR]