A survey on fuzzy relational equations. I: Classification and solvability. (English) Zbl 1180.03051
The paper presents a survey of the theory of fuzzy relational equations, their classifcation, and main solution methods. The concepts and results summarized in the paper are classified and discussed. The main attention is focused on the problem of solvability of fuzzy relational equations, and on the analysis of necessary and sufficient conditions. Moreover, the solution sets are characterized. The extensive survey of concepts and results is completed by a rich list (296 items) of references.
Reviewer: Milan Mareš (Praha)
MSC:
| 03E72 | Theory of fuzzy sets, etc. |
Keywords:
fuzzy relation; fuzzy relational equations; solvability; duality; adjointness; triangular norm; surveyReferences:
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