The paper discusses fuzzy controllers based on fuzzy relational equations in the case when fuzzy controllers' inputs are exact. Godelian implication and minimum function as t-norm are considered. Fuzzy relational equation with sup-t composition results in plausible control and adjoint equation resul
Numerical solution of fuzzy relational equations based on smooth fuzzy norms
β Scribed by Arya Aghili Ashtiani; Mohammad Bagher Menhaj
- Book ID
- 106169316
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 674 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1432-7643
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π SIMILAR VOLUMES
T-and aT-compositions , i.e., composite operations of sup-T and inf--aT, and relationships among ~-, etT-operators and t-norm are considered. It is shown that, if a composite fuzzy relational equation by T-composition has solutions, then a greatest one exists, and that if a similar equation by etr-c
Numerical algorithms for solving 'fuzzy ordinary differential equations' (FODE) are considered. A scheme based on the classical Euler method is discussed in detail, and this is followed by a complete error analysis. The algorithm is illustrated by solving several linear and nonlinear fuzzy Cauchy pr