Improved Takagi-Sugeno fuzzy approach

In this paper Takagi-Sugeno fuzzy approach in analyzed under the fuzzy mapping perspective. Although similar to classical Takagi-Sugeno fuzzy approach in structure, this rule based system differs when employing a subnormal fuzzy mapping instead of using a normalized one. This approach might be considered to be a generalization of traditional Takagi-Sugeno approach to treat uncertainty in mapping procedure. It carries the ability of yielding a completely different input-output mapping by only introducing a new degree of freedom in parameters of fuzzy system design. Additionally, it might be considered to be a generalization of traditional Takagi-Sugeno approach to treat uncertainty, imprecision, vagueness and partial truth in mapping procedure. The proposed approach may be applied for finding out fuzzy models, designing fuzzy controllers, and decision-making process, as well. A zero-order Takagi-Sugeno model is employed to exemplify this nonzero mapping perspective.