DERIVATIVE OF FUZZY REAL FUNCTIONS

Adrian Minarović

   The notions of derivative and integral are examples of the most common in real functions analysis. They are also amongst the most important notions of mathematical analysis. Since 1965 we are witnesses of massive reasearch in the fuzzy sets theory including fuzzy real functions theory. A simple approach on diferentiation of these fuzzy real functions based on α-level functions is studied. Some properties of this derivative are shown, equivalents of standard theorems such as Rolle theorem are proven. A similar fuzzy integral is also defined and its connection to a fuzzy derivative is studied.

Keywords: fuzzy number, fuzzy derivative, fuzzy integral

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