Linguistic modelling and information coarsening based on prototype theory and label semantics

  • Authors:
  • Yongchuan Tang;Jonathan Lawry

  • Affiliations:
  • College of Computer Science, Zhejiang University, 38 Zheda Road, Hangzhou 310027, PR China and Department of Engineering Mathematics, University of Bristol, Bristol BS8 1TR, United Kingdom;Department of Engineering Mathematics, University of Bristol, Bristol BS8 1TR, United Kingdom

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2009

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Abstract

The theory of prototypes provides a new semantic interpretation of vague concepts. In particular, the calculus derived from this interpretation results in the same calculus as label semantics proposed by Lawry. In the theory of prototypes, each basic linguistic label L has the form 'about P', where P is a set of prototypes of L and the neighborhood size of the underlying concept is described by the word 'about' which represents a probability density function @d on [0,+~). In this paper we propose an approach to vague information coarsening based on the theory of prototypes. Moreover, we propose a framework for linguistic modelling within the theory of prototypes, in which the rules are concise and transparent. We then present a linguistic rule induction method from training data based on information coarsening and data clustering. Finally, we apply this linguistic modelling method to some benchmark time series prediction problems, which show that our linguistic modelling and information coarsening methods are potentially powerful tools for linguistic modelling and uncertain reasoning.