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This article deals with the complexity involved in fuzzy derivatives whenboth input and output are from nonempty, convex, and compact fuzzy space.Consider a fuzzy valued mapping, and for fuzzy differentiation of fuzzy valuedfunction, we propose Modified Hukuhara derivative. To evaluate this derivative,we need to take the parametric form of, input and the mapping which is involvedin it. Our definition gives a more realistic explanation of fuzzy derivatives,under this derivative, we also develop fuzzy Taylor series along with itsconvergence. Lastly, we solve a fully fuzzy differential equation with initialcondition using Fuzzy Taylor series.

Fuzzy Calculus with Noval Approach Using Fuzzy Functions