Similarity-based approximate reasoning: methodology and application

Authors:
S. Raha;N. R. Pal;K. S. Ray
Affiliations:
Dept. of Math., Visva-Bharati, Santiniketan;-;-
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Year:
2002

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Abstract

This correspondence elucidates the importance of similarity, as modeled by a measure of similarity, in approximate reasoning. A set of axioms is proposed to compute a reasonable measure of similarity between two imprecise concepts represented as fuzzy sets. For approximate reasoning, a similarity index between the fact and the antecedent of a rule is computed and is used in the reasoning mechanism. Accordingly, the existing reasoning mechanism is modified. A new similarity-based approximate reasoning methodology is proposed. As an illustration of its effectiveness, the proposed mechanism is used to develop a rule-based pattern classifier.