On revising fuzzy belief bases

  • Authors:
  • Richard Booth;Eva Richter

  • Affiliations:
  • University of Leipzig, Department of Computer Science, Leipzig, Germany;University of Leipzig, Department of Computer Science, Leipzig, Germany

  • Venue:
  • UAI'03 Proceedings of the Nineteenth conference on Uncertainty in Artificial Intelligence
  • Year:
  • 2002

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Abstract

We look at the problem of revising fuzzy belief bases, i.e., belief base revision in which both formulas in the base as well as revisioninput formulas can come attached with varying truth-degrees. Working within a very general framework for fuzzy logic which is able to capture certain types of uncertainty calculi as well as truth-functional fuzzy logics, we show how the idea of rational change from "crisp" base revision, as embodied by the idea of partial meet (base) revision, can be faithfully extended to revising fuzzy belief bases. We present and axiomatise an operation of partial meet fuzzy base revision and illustrate how the operation works in several important special instances of the framework.