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On Revising Fuzzy Belief Bases

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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 revision-input formulas can come attached with varying 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. We also axiomatise the related operation of partial meet fuzzy base contraction.

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Authors and Affiliations

  1. Department of Computer Science, University of Leipzig, Augustusplatz 10/11, 04109, Leipzig, Germany

    Richard Booth

  2. Department of Computer Science, University of Potsdam, August-Bebel-Strasse 89, 14482, Potsdam, Germany

    Eva Richter

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  1. Richard Booth
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  2. Eva Richter
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Correspondence to Richard Booth.

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Booth, R., Richter, E. On Revising Fuzzy Belief Bases. Stud Logica 80, 29–61 (2005). https://doi.org/10.1007/s11225-005-6775-5

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  • DOI: https://doi.org/10.1007/s11225-005-6775-5

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