Universal fuzzy system to Takagi-Sugeno fuzzy system compiler

In the paper a compiler that transforms a universal fuzzy system into a Takagi-Sugeno fuzzy system is presented. A universal fuzzy system is defined as a fuzzy system with generic membership functions, T-norm, T-conorm, propagation operator, aggregation operator and defuzzification algorithm. The Takagi-Sugeno system obtained is an approximation of the original fuzzy system based on keeping the certainty of the designer. This means that the inputs for which the designer had a complete certainty will be approximated without error.