Title :
Generalisation of the resolution of a fuzzy relational equation
Author :
Levrat, E. ; Dubois, G. ; Bombardier, V. ; Lamotte, M.
Author_Institution :
Lab. d´´Electricite et d´´Autom., Nancy I Univ., Vandoeuvre, France
Abstract :
The authors present a generalization of the resolution of the fuzzy relational equation to all the compositional rules T-conorm/T-norm. Some definitions about the solution existence condition are recalled. The resolution in a particular case is outlined to show a specific form of a solution. It is demonstrated that these results are applicable to all the compositional rules T-conorm/T-norm
Keywords :
fuzzy logic; fuzzy set theory; generalisation (artificial intelligence); compositional rules T-conorm; compositional rules T-norm; fuzzy relational equation; fuzzy set theory; generalization; Equations; Fuzzy reasoning; Fuzzy sets; Lattices; Lead;
Conference_Titel :
Fuzzy Systems, 1993., Second IEEE International Conference on
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-0614-7
DOI :
10.1109/FUZZY.1993.327600