Properties and classes of ternary fuzzy relations
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Date
2024-09-15
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University of M'Sila
Résumé
This thesis systematically explores the compositions of ternary relations, identifying all possible compositions and examining their associativity properties, including mixed-associativity. It introduces Bandler-Kohout-compositions for ternary relations, extends the framework to fuzzy settings, and establishes connections between these compositions and binary relations through projection and cylindrical extension.
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Mots-clés
Ternary relations, Composition of relations, Bandler-Kohout compositions, Fuzzy relations, Associativity.