Fuzzy Belief Revision

Abstract

Toulouse
Fuzzy sets, having been the long-standing mainstay of modeling and manipulating imperfect information, are an obvious candidate for representing uncertain beliefs.

Unfortunately, unadorned fuzzy sets are too limited to capture complex or potentially inconsistent beliefs, because all too often they reduce to absurdities ("nothing is possible") or trivialities ("everything is possible").

However, we show that by combining the syntax of propositional logic with the semantics of fuzzy sets a rich framework for expressing and manipulating uncertain beliefs can be created, admitting Gärdenfors-style expansion, revision, and contraction operators and being moreover amenable to easy integration with conventional ``crisp'' information processing.

The model presented here addresses many of the shortcomings of traditional approaches for building fuzzy data models, which will hopefully lead to a wider adoptance of fuzzy technologies for the creation of information systems.

Keywords

fuzzy belief revision, fuzzy information systems, soft computing, fuzzy object-oriented data model

Reference

Proceedings of the 9th International Workshop on Non-Monotonic Reasoning (NMR'02), pp. 311-320, April 19-21, 2002, Toulouse, France.

Bibtex entry (also for download):

@InProceedings{Wit02,
  author =       {Ren{\'{e}} Witte},
  title =        {{Fuzzy Belief Revision}},
  booktitle =    {9th Intl.\ Workshop on Non-Monotonic Reasoning (NMR'02)},
  pages =        {311--320},
  year =         {2002},
  month =        {April 19--21},
  address =      {Toulouse, France},
  note =         {\url{http://rene-witte.net}}
}

You can also visit the workshop's website.

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Copyright © 2002 by René Witte. All rights reserved.