Generalisation of the resolution of a fuzzy relational equation

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 d...

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Bibliographic Details
Main Authors: Levrat, E., Dubois, G., Bombardier, V., Lamotte, M.
Format: Conference Proceeding
Language:English
Subjects:
Equations
Fuzzy reasoning
Fuzzy sets
Lattices
Lead
Online Access:Request full text
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Summary: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.< >
DOI:10.1109/FUZZY.1993.327600