Abstract:
A piecewise multilinear and a piecewise linear model for fuzzy systems are introduced and their approximation capabilities investigated. Classical results on the approxim...Show MoreMetadata
Abstract:
A piecewise multilinear and a piecewise linear model for fuzzy systems are introduced and their approximation capabilities investigated. Classical results on the approximation of regular functions are improved showing that fuzzy systems may keep their semantic structure while approximating to any degree of accuracy not only sufficiently regular functions, but also their derivatives.
Published in: IEEE Transactions on Fuzzy Systems ( Volume: 6, Issue: 2, May 1998)
DOI: 10.1109/91.669022
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Linear System ,
- Universal Approximation ,
- Sobolev Norm ,
- Piecewise Linear Systems ,
- Semantic ,
- Function Approximation ,
- Fuzzy System ,
- Regular Function ,
- Approximation Capability ,
- True Value ,
- Proof Of Theorem ,
- Grid Cells ,
- System Identification ,
- Linear Interpolation ,
- Nondecreasing ,
- Membership Function ,
- Fuzzy Set ,
- Theorem States ,
- Real Product ,
- Fuzzy Model ,
- Input-output Relationship ,
- Piecewise Polynomial ,
- Triangular Membership Functions ,
- Normative Sense ,
- University Of Bologna ,
- Gaussian Membership Function ,
- Compact Domain ,
- Grid Nodes ,
- Lower Triangular ,
- Triangular Function
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Linear System ,
- Universal Approximation ,
- Sobolev Norm ,
- Piecewise Linear Systems ,
- Semantic ,
- Function Approximation ,
- Fuzzy System ,
- Regular Function ,
- Approximation Capability ,
- True Value ,
- Proof Of Theorem ,
- Grid Cells ,
- System Identification ,
- Linear Interpolation ,
- Nondecreasing ,
- Membership Function ,
- Fuzzy Set ,
- Theorem States ,
- Real Product ,
- Fuzzy Model ,
- Input-output Relationship ,
- Piecewise Polynomial ,
- Triangular Membership Functions ,
- Normative Sense ,
- University Of Bologna ,
- Gaussian Membership Function ,
- Compact Domain ,
- Grid Nodes ,
- Lower Triangular ,
- Triangular Function
