The Category FTOP_Band The Fuzzy Function Space M_f(XY)

摘要

The aim of this paper is to define the category FTOP_Band we introduce more of its interesting properties. Also, we define the fuzzy function space M_f(XY)and we study some of its basic properties. We gave the sufficient conditions for the fuzzy evaluationmap eF@t : M_f(XY)xF@tX → Y to be fuzzy continuous and the fuzzy exponential map 11,4,, :M1((X x,@, Y)z) A 1 (X (M f (YZ )) to be fuzzy homeomorphism.