Fuzzy Function: Theoretical and Practical Point of View
Irina Perfilieva · 2011
The aim of this investigation is to reconsider two notions of fuzzy function, namely: a fuzzy function as a special fuzzy relation and a fuzzy function as a mapping between fuzzy spaces.We propose to combine both notions in such a way that a fuzzy function as a relation determines a fuzzy function as a mapping.We investigate conditions which guarantee that dependent values of the related fuzzy functions coincide.Moreover, we investigate properties and relationship of the related fuzzy functions in the case when both of them are "fuzzified" versions of the same ordinary function.