APPROXIMATION OF FUZZY NUMBERS BY FAVARD-SZASZMIRAKYAN OPERATORS OF MAX-PRODUCT

Abstract

– In this study, the definition of the generalized Favard-Szasz-Mirakyan operators of max-productkind is extended to an arbitrary compact interval, by proving that their order of uniform approximation isthe same as in the particular case of the unit interval. We will show that if fuzzy numbers are presented inparametric form, the generalized Favard-Szasz-Mirakyan maximum product operator produces a set offuzzy numbers such that it is approximately the same as the uncertainty and value of the fuzzy number.