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On a Graded Notion of t-norm and Dominance
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SYSNO ASEP 0343746 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title On a Graded Notion of t-norm and Dominance Author(s) Běhounek, Libor (UIVT-O) RID, SAI, ORCID
Cintula, Petr (UIVT-O) RID, ORCID, SAI
Bodenhofer, U. (AT)
Saminger-Platz, S. (AT)
Sarkoci, P. (CZ)Source Title Proceedings of the 40th IEEE International Symposium on Multple-valued logic. - Los Alamitos : IEEE Computer Society, 2010 - ISSN 0195-623X - ISBN 978-0-7695-4024-5 Pages s. 73-78 Number of pages 6 s. Action ISMVL 2010. IEEE International Symposium on Multiple-Valued Logic /40./ Event date 26.05.2010-28.05.2010 VEvent location Barcelona Country ES - Spain Event type WRD Language eng - English Country US - United States Keywords fuzzy connective ; fuzzy class theory ; gradual property ; t-norm ; dominance Subject RIV BA - General Mathematics R&D Projects GPP103/10/P234 GA ČR - Czech Science Foundation (CSF) GEICC/08/E018 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000287530100012 EID SCOPUS 77955317187 DOI 10.1109/ISMVL.2010.21 Annotation 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. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2011
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