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Beta fuzzy logic systems: Approximation properties in the SISO case. (English) Zbl 0969.93021

A Single-Input-Single-Output (SISO) Sugeno fuzzy model of the zeroth order is considered. Beta Fuzzy Logic Systems (BFLS) are introduced in order to show that they are universal approximators. Numerical comparisons between the BFLS and other classes of widely used fuzzy logic systems are given.

MSC:

93C42 Fuzzy control/observation systems
41A50 Best approximation, Chebyshev systems
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)