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On a Graded Notion of t-Norm and Dominance

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5 Author(s)
Běhounek, L. ; Inst. of Comput. Sci., Acad. of Sci. of the Czech Republic, Prague, Czech Republic ; Cintula, P. ; Bodenhofer, U. ; Saminger-Platz, S.
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The paper studies graded properties of MTL_Delta-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.

Published in:

Multiple-Valued Logic (ISMVL), 2010 40th IEEE International Symposium on

Date of Conference:

26-28 May 2010