GÖDEL REPRESENTABLE FUZZY WEAK ORDERS

DOI10.1142/S021848859900009XzbMath1087.03513OpenAlexW2110760929MaRDI QIDQ5291703

Etienne E. Kerre, Bernard De Baets, János C. Fodor

Publication date: 19 May 2006

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021848859900009x

zbMATH Keywords

fuzzy quasi-orderfuzzy weak orderfuzzy quasi-transitive relationGödel implicatorGödel representable fuzzy weak order

Mathematics Subject Classification ID

Decision theory (91B06) Theory of fuzzy sets, etc. (03E72) Ordered sets (06A99)

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A formal study of linearity axioms for fuzzy orderings, On the compositional characterization of complete fuzzy pre-orders, A compendium of fuzzy weak orders: representations and constructions, Preference Modelling, a Matter of Degree, Fuzzy topologies generated by fuzzy relations, Dimension of valued relations, Implication representation of fuzzy biorders, traces and weak orders

Cites Work

• On the structure of F-indistinguishability operators
• Special properties, closures and interiors of crisp and fuzzy relations
• Structure of fuzzy binary relations
• On strict preference relations
• On aggregation of \(T\)-transitive fuzzy binary relations