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

  • Ka Fat Chow
Conference paper

DOI: 10.1007/978-3-642-24130-7_4

Part of the Lecture Notes in Computer Science book series (LNCS, volume 6953)
Cite this paper as:
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

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.

Keywords

vague quantifiers Generalized Quantifier Theory Fuzzy Theory Supervaluation Theory Modified Glöckner’s Method 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Ka Fat Chow
    • 1
  1. 1.The Hong Kong Polytechnic UniversityHong Kong

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