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Coherence of Radial Implicative Fuzzy Systems with Nominal Consequents
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SYSNO ASEP 0405648 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Coherence of Radial Implicative Fuzzy Systems with Nominal Consequents Title Koherence radiálních implikačních fuzzy systémů s nominálními konsekventy. Author(s) Coufal, David (UIVT-O) RID, SAI, ORCID Source Title Decision Support for Telecommunications and Information Society. - Warsaw : National Institute of Telecommunications, 2005 Pages s. 201-214 Number of pages 14 s. Action DSTIS 2005. International Conference on Decision Support for Telecommunications and Information Society /5./ Event date 01.09.2005-03.09.2005 VEvent location Warsaw Country PL - Poland Event type WRD Language eng - English Country PL - Poland Keywords implicative fuzzy systems ; radial fuzzy systems ; nominal output space ; coherence Subject RIV BA - General Mathematics R&D Projects 1M0545 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Annotation In the paper, the question of coherence of radial implicative fuzzy systems with nominal consequents (radial I-FSs with NCs) is addressed. Implicative fuzzy systems are the systems with IF-THEN structure of their rules being represented by residuated implication. Radial fuzzy systems have their antecedents represented by radial functions. A fuzzy system has nominal consequents if the universe of discourse of consequent fuzzy sets is given by a finite, generally unordered, set. The question of coherence is the question of under which conditions the output of a fuzzy system is always defined (is non-empty) regardless of the actual input. In the paper we present sufficient conditions for coherence of radial I-FSs with NCs. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2006
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