On the complexity of growth of the number of distinct fuzzy switching functions
In this paper the authors give some analytical properties of fuzzy switching functions. The main result refers to a bijection between the set of fuzzy switching functions and the set of the functions \(f:\{0,1/2,1\}^ n\to \{0,1/2,1\}\) which verify some properties. Based on this property, the authors obtain improved lower and upper bounds for the number of fuzzy switching functions of n variables. The exact number of these functions remains open.
scientific article; zbMATH DE number 3880598