Generalised Label Semantics as a Model of Epistemic Vagueness

  • Authors:
  • Jonathan Lawry;Inés González-Rodríguez

  • Affiliations:
  • Department of Engineering Mathematics, University of Bristol, Bristol, UK;Dept. Mathematics, Statistics and Computer Science, University of Cantabria, Santander, Spain

  • Venue:
  • ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
  • Year:
  • 2009

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Abstract

A generalised version of the label semantics framework is proposed as an epistemic model of the uncertainty associated with vague description labels. In this framework communicating agents make explicit decisions both about which labels are appropriate to describe an element x *** *** (the underlying universe), and also about which negated labels are appropriate to describe x . It is shown that such a framework can capture a number of different calculi for reasoning with vague concepts as special cases. In particular, different uncertainty assumptions are shown to result in the truth-functional max-min calculus and the standard label semantics calculus.