Fuzzy Approaches to Abductive Inference

This paper proposes two kinds of fuzzy abductive inference in the framework of fuzzy rule base. The abductive inference processes described here depend on the semantic of the rule. We distinguish two classes of interpretation of a fuzzy rule, certainty generation rules and possible generation rules. In this paper we present the architecture of abductive inference in the first class of interpretation. We give two kinds of problem that we can resolve by using the proposed models of inference.

[1]  D. Dubois,et al.  Efficient inference procedures with fuzzy inputs , 1997, Proceedings of 6th International Fuzzy Systems Conference.

[2]  W. Pedrycz,et al.  Fuzzy Relation Equations and Their Applications to Knowledge Engineering , 1989, Theory and Decision Library.

[3]  イヴォン ブレース,et al.  Presses Universitaires de France刊行の近著解題 , 1952 .

[4]  Paul J. Feltovich,et al.  LCS: The role and development of medivcal knowledge in diagnostic expertise , 1984 .

[5]  Didier Dubois,et al.  Implicative and conjunctive fuzzy rules - A tool for reasoning from knowledge and examples , 1999, AAAI/IAAI.

[6]  Siegfried Gottwald,et al.  Fuzzy Sets and Fuzzy Logic , 1993 .

[7]  J. Reggia,et al.  Abductive Inference Models for Diagnostic Problem-Solving , 1990, Symbolic Computation.

[8]  P. Thagard,et al.  Modelling Conceptual Revolutions , 1996, Dialogue.

[9]  John R. Josephson,et al.  Abductive inference : computation, philosophy, technology , 1994 .

[10]  A. Tversky,et al.  Variants of uncertainty , 1982, Cognition.

[11]  Hung T. Nguyen,et al.  Les incertitudes dans les systèmes intelligents , 1996 .

[12]  James A. Reggia,et al.  Answer Justification in Diagnostic Expert Systems - Part I: Abductive Inference and Its Justification , 1985, IEEE Transactions on Biomedical Engineering.

[13]  Eric Backer,et al.  Human-like reasoning under uncertainty in expert systems , 1993 .

[14]  W. Pedrycz.  Fuzzy relational equations with generalized connectives and their applications , 1983 .

[15]  E. Sanchez.  Solution of fuzzy equations with extended operations , 1984 .

[16]  P. Thagard,et al.  Explanatory coherence , 1993 .

[17]  J. Reggia,et al.  Abductive Inference Models for Diagnostic Problem-Solving , 1990, Symbolic Computation.

[18]  Ivan Kramosil.  Fuzzy Sets and Fuzzy Logic --Foundations of Applications from a Mathematical Point of View , 1995 .

[19]  Drew McDermott,et al.  Introduction to artificial intelligence , 1986, Addison-Wesley series in computer science.

[20]  Bernard De Baets,et al.  A Primer on Solving fuzzy Relational equations on the Unit Interval , 1994, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[21]  W. Kintsch.  The role of knowledge in discourse comprehension : a construction-integration model , 1991 .

[22]  Lotfi A. Zadeh,et al.  A Theory of Approximate Reasoning , 1979 .

[23]  J. Fodor.  Contrapositive symmetry of fuzzy implications , 1995 .