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  • The project will study fuzzy set theories as foundational theories for fuzzy mathematics, in cooperation with Japanese colleagues. Team members will systematically investigate and combine several approaches that have previously been developed by both Czech and Japanese investigators. An important goal of the project is generalization of the methods and results in formal fuzzy set theory to a broader class of substructural logics, including linear logic and monoidal logic. (en)
  • Dosažení lepšího porozumění fuzzy teoriím množin jakožto základům fuzzy matematiky, přenesení metod mezi fuzzy a substrukturálními teoriemi množin, navázání česko-japonské spolupráce v této oblasti a publikování dosažených výsledků.
Title
  • Fuzzy set theory as a foundation of fuzzy mathematics (en)
  • Fuzzy teorie množin jakožto základ fuzzy matematiky
skos:notation
  • ME09110
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  • non-classical logics; fuzzy logics; substructural logics; fuzzy set theory; fuzzy mathematics (en)
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  • Projekt %22Fuzzy teorie množin jakožto základ fuzzy matematiky%22 vedl k dosažení lepšího porozumění fuzzy teoriím množin, fuzzy a substrukturálním logikám, navázání česko-japonské spolupráce v této oblasti, přednesení 30 konferenčních a seminárních přednášek a zaslání dvou článků do prestižních impaktovaných časopisů, z nichž jeden byl již přijat k publikaci. (cs)
  • The project %22Fuzzy set theory as foundation of fuzzy mathematics%22 resulted in better undestanding of fuzzy set theories, fuzzy and substructural logics, initiation of Czech-Japan collaboration in this area, 30 conference and seminar talks, and submission of two papers (one already accepted for publication) in prestigious international journals. (en)
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  • non-classical logics
  • substructural logics
  • fuzzy logics
  • fuzzy set theory
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