Title :
Solving a system of fuzzy relation equations by using a hierarchical process
Author :
Dubois, G. ; Levrat, E. ; Lamotte, M. ; Bremont, J.
Author_Institution :
Centre de Recherche en Autom. de Nancy CNRS URA, Univ. de Nancy I, Vandoeuvre, France
Abstract :
The authors propose a method to compute the solution of a system of fuzzy relations with a continuously differentiable composed rule. The modelization of any system behavior by a fuzzy relation leads to an implication between causes and effects. The input and output vectors become, after fuzzification, fuzzy sets linked with a fuzzy relation, R. The identification of R, in the case of t-conorm/t-norm composition where the conorm is different from max, is obtained by an error criterion optimization. The method proposed is based on a hierarchical process
Keywords :
fuzzy set theory; optimisation; causes; continuously differentiable composed rule; effects; error criterion optimization; fuzzification; fuzzy relation equations; fuzzy sets; hierarchical process; t-conorm/t-norm composition; Differential equations; Equations; Fuzzy sets; Fuzzy systems;
Conference_Titel :
Fuzzy Systems, 1992., IEEE International Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0236-2
DOI :
10.1109/FUZZY.1992.258740