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A Semantic Model for Vague Quantifiers Combining Fuzzy Theory and Supervaluation Theory

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Logic, Rationality, and Interaction (LORI 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6953))

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Abstract

This paper introduces a semantic model for vague quantifiers (VQs) combining Fuzzy Theory (FT) and Supervaluation Theory (ST), which are the two main theories on vagueness, a common source of uncertainty in natural language. After comparing FT and ST, I will develop the desired model and a numerical method for evaluating truth values of vague quantified statements, called the Modified Glöckner’s Method, that combines the merits and overcomes the demerits of the two theories. I will also show how the model can be applied to evaluate truth values of complex quantified statements with iterated VQs.

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Author information

Authors and Affiliations

  1. The Hong Kong Polytechnic University, Hong Kong

    Ka Fat Chow

Authors
  1. Ka Fat Chow
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Editor information

Editors and Affiliations

  1. University of Sevilla, Camilo José Cela s/n, 41018, Sevilla, Spain

    Hans van Ditmarsch

  2. Université Paul Sabatier, IRIT, 118 Route de Narbonne, 31062, Toulouse Cedex 04, France

    Jérôme Lang

  3. Institute of Logic and Cognition, Department of Philosophy, Sun Yat-sen University, 510275, Guangzhou, China

    Shier Ju

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Chow, K.F. (2011). A Semantic Model for Vague Quantifiers Combining Fuzzy Theory and Supervaluation Theory. In: van Ditmarsch, H., Lang, J., Ju, S. (eds) Logic, Rationality, and Interaction. LORI 2011. Lecture Notes in Computer Science(), vol 6953. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24130-7_4

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  • DOI: https://doi.org/10.1007/978-3-642-24130-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24129-1

  • Online ISBN: 978-3-642-24130-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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