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ISMVL
2010
IEEE

On a Graded Notion of t-Norm and Dominance

14 years 3 months ago
On a Graded Notion of t-Norm and Dominance
Abstract—The paper studies graded properties of MTL valued binary connectives, focusing on conjunctive connectives such as t-norms, uninorms, aggregation operators, or quasicopulas. The graded properties studied include monotony, a generalized Lipschitz property, unit and null elements, commutativity, associativity, and idempotence. Finally, a graded notion of dominance is investigated and applied to transmission of graded properties of fuzzy relations. The framework of Fuzzy Class Theory (or higher-order fuzzy logic) is employed as a tool for easy derivation of graded theorems on the connectives.
Libor Behounek, Petr Cintula, Ulrich Bodenhofer, S
Added 10 Jul 2010
Updated 10 Jul 2010
Type Conference
Year 2010
Where ISMVL
Authors Libor Behounek, Petr Cintula, Ulrich Bodenhofer, Susanne Saminger-Platz, Peter Sarkoci
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