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  • We briefly discuss the indeterminacy phenomenon as a phenomenon having two facets: uncertainty and vagueness. Then we describe some basic principles of modern fuzzy logic and show that it constitutes a group of well established formal systems. We argue that till now, fuzzy logic provides most successful solutions when trying to grasp vagueness. Its model of vagueness is based on introducing degrees of truth with well established and substantiated structure that non-trivially generalizes classical logic. We also outline formal theories which model some of essential manifestations of vagueness headed by analysis of sorites.
  • We briefly discuss the indeterminacy phenomenon as a phenomenon having two facets: uncertainty and vagueness. Then we describe some basic principles of modern fuzzy logic and show that it constitutes a group of well established formal systems. We argue that till now, fuzzy logic provides most successful solutions when trying to grasp vagueness. Its model of vagueness is based on introducing degrees of truth with well established and substantiated structure that non-trivially generalizes classical logic. We also outline formal theories which model some of essential manifestations of vagueness headed by analysis of sorites. (en)
  • Je stručně diskutován fenomén neurčitosti jako fenomén, který má dvě stránky: nejistotu a vágnost. Dále jsou popsány některé základní principy moderní fuzzy logiky a je ukázáno, že tato logika tvoří skupinu přesných formálních systémů. Tvrdíme, že fuzzy logika zatím poskytuje nejúspěšnější řešení, pokud jde o zachycení fenoménu vágnosti. Model je založen na zavedení stupňů příslušnosti. Klasická logika je netriviálně zobecněna. Jsou také naznačeny formální teorie modelující některé z projevů vágnosti v čele s paradoxem hromady. (cs)
Title
  • Mathematical fuzzy logic: from vagueness to commonsense reasoning
  • Mathematical fuzzy logic: from vagueness to commonsense reasoning (en)
  • Matematická fuzzy logika: od vágnosti k běžnému lidskému uvažování (cs)
skos:prefLabel
  • Mathematical fuzzy logic: from vagueness to commonsense reasoning
  • Mathematical fuzzy logic: from vagueness to commonsense reasoning (en)
  • Matematická fuzzy logika: od vágnosti k běžnému lidskému uvažování (cs)
skos:notation
  • RIV/61988987:17610/08:A0800SKY!RIV08-MSM-17610___
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  • 191;223
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  • P(1M0572)
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  • 377965
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  • RIV/61988987:17610/08:A0800SKY
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  • Fuzzy logic; vagueness; truth values (en)
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  • [04883F492CC1]
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  • Wien
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  • Rehtorische Wissenschaft: Rede und Argumantation in Theorie und Praxis
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  • Novák, Vilém
number of pages
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  • Lit Verlag GmbH & Co. KG Wien
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  • 978-3-7000-0821-7
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  • 17610
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