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International Journal of General Systems Volume 32, 2003 - Issue 4: Issue Fuzzy Logic in Systems Modelling
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Original Articles

The sorites paradox and fuzzy logic

Petr Hájek Institute of Computer Science, Academy of Sciences, 18207, Prague, Czech RepublicCorrespondence[email protected]
&
Vilém Novák† Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. dubna 221, 70103, Ostrava, Czech Republic
Pages 373-383 | Received 01 Jan 2003, Accepted 07 Mar 2003, Published online: 17 Oct 2011

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R. Belohlavek. (2019) Goguen's contributions to fuzzy logic in retrospect. International Journal of General Systems 48:8, pages 811-824.
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Articles from other publishers (27)

Cristian Moyano-Fernández. (2023) Rethinking the Environmental Virtue of Ecological Justice from the Interdependencies of Non-Human Capabilities and Synergetic Flourishing. Philosophies 8:6, pages 103.
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Mohsen Ahmadi, Mahsa Soofiabadi, Maryam Nikpour, Hossein Naderi, Lazim Abdullah & Behdad Arandian. (2022) Developing a Deep Neural Network with Fuzzy Wavelets and Integrating an Inline PSO to Predict Energy Consumption Patterns in Urban Buildings. Mathematics 10:8, pages 1270.
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Axel Arturo Barceló Aspeitia. (2021) Conciliatory strategies in philosophy. Philosophy Compass 17:1.
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. 2019. The Sorites Paradox. The Sorites Paradox.
Vilém Novák, Irina Perfilieva & Antonín Dvořák. 2016. Insight into Fuzzy Modeling. Insight into Fuzzy Modeling 235 242 .
Siegfried Gottwald. (2015) Formale Logiken für unscharfe Mengen. Informatik-Spektrum 38:6, pages 533-542.
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Thomas Kron & Lars Winter. 2015. Handbuch Modellbildung und Simulation in den Sozialwissenschaften. Handbuch Modellbildung und Simulation in den Sozialwissenschaften 363 396 .
Kumar Ray. 2014. Soft Computing and Its Applications, Volume One. Soft Computing and Its Applications, Volume One 597 611 .
Francesc Esteva, Lluís Godo & Carles Noguera. (2013) A logical approach to fuzzy truth hedges. Information Sciences 232, pages 366-385.
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Thomas Vetterlein. (2012) Vagueness: where degree-based approaches are useful, and where we can do without. Soft Computing 16:11, pages 1833-1844.
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Vilém Novák. (2012) Reasoning about mathematical fuzzy logic and its future. Fuzzy Sets and Systems 192, pages 25-44.
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Enric Trillas & Luis A. Urtubey. (2011) Towards the dissolution of the sorites paradox. Applied Soft Computing 11:2, pages 1506-1510.
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Petr Cintula & Petr Hájek. (2010) Triangular norm based predicate fuzzy logics. Fuzzy Sets and Systems 161:3, pages 311-346.
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Petr Hájek. (2009) On Vagueness, Truth Values and Fuzzy Logics. Studia Logica 91:3, pages 367-382.
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Vilém Novák. (2008) A comprehensive theory of trichotomous evaluative linguistic expressions. Fuzzy Sets and Systems 159:22, pages 2939-2969.
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Stephan van der Waart van Gulik & Peter Verdée. (2008) Modeling sorites reasoning with adaptive fuzzy logic. Fuzzy Sets and Systems 159:14, pages 1869-1884.
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Siegfried Gottwald. (2014) Mathematical Fuzzy Logics. Bulletin of Symbolic Logic 14:2, pages 210-239.
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Libor Běhounek. (2008) On the difference between traditional and deductive fuzzy logic. Fuzzy Sets and Systems 159:10, pages 1153-1164.
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Giangiacomo Gerla. (2008) Approximate Similarities and Poincaré Paradox. Notre Dame Journal of Formal Logic 49:2.
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Vilém Novák, Irina Perfilieva, Antonín Dvořák, Guoqing Chen, Qiang Wei & Peng Yan. (2008) Mining pure linguistic associations from numerical data. International Journal of Approximate Reasoning 48:1, pages 4-22.
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Vilém Novák. (2007) Fuzzy logic with countable evaluated syntax revisited. Fuzzy Sets and Systems 158:9, pages 929-936.
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Vilém Novák. 2007. Fuzzy Logic. Fuzzy Logic 135 172 .
Petra Murinová & Vilém Novák. (2006) Omitting types in fuzzy logic with evaluated syntax. Mathematical Logic Quarterly 52:3, pages 259-268.
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Vilém Novák. (2006) Which logic is the real fuzzy logic?. Fuzzy Sets and Systems 157:5, pages 635-641.
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Christian G. Fermüller & Robert Kosik. 2006. Logic for Programming, Artificial Intelligence, and Reasoning. Logic for Programming, Artificial Intelligence, and Reasoning 212 226 .
V. Novak. (2005) Perception-Based Logical Deduction as Alternative Approximate Reasoning Method. Perception-Based Logical Deduction as Alternative Approximate Reasoning Method.
Vilém Novák & Irina Perfilieva. (2004) On the semantics of perception-based fuzzy logic deduction. International Journal of Intelligent Systems 19:11, pages 1007-1031.
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