Reasoning by analogy with fuzzy rules

Laszlo Koczy*, Kaoru Hirota

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Citations (Scopus)

Abstract

In sparse systems rules do not cover the complete observation space and, in the general case, observations do not match with any of the rule antecedents, i.e., there is no direct way to compute a conclusion. A solution to this problem is presented if reasoning by analogy is applied. The basic case of reasoning by analogy is the interpolation of two rules. An extension of this method is extrapolation, another is interpolation of 2k rules. The generalization including all these methods uses an approximation covering the whole space where the complete rule system or an arbitrary subset of it can be used as the basis for the calculation of the conclusion. This generalized algorithm is sketched, and a few examples are presented.

Original languageEnglish
Title of host publication92 IEEE Int Conf Fuzzy Syst FUZZ-IEEE
PublisherPubl by IEEE
Pages263-270
Number of pages8
ISBN (Print)0780302362
Publication statusPublished - 1992
Externally publishedYes
Event1992 IEEE International Conference on Fuzzy Systems - FUZZ-IEEE - San Diego, CA, USA
Duration: 8 Mar 199212 Mar 1992

Publication series

Name92 IEEE Int Conf Fuzzy Syst FUZZ-IEEE

Conference

Conference1992 IEEE International Conference on Fuzzy Systems - FUZZ-IEEE
CitySan Diego, CA, USA
Period8/03/9212/03/92

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Koczy, L., & Hirota, K. (1992). Reasoning by analogy with fuzzy rules. In 92 IEEE Int Conf Fuzzy Syst FUZZ-IEEE (pp. 263-270). (92 IEEE Int Conf Fuzzy Syst FUZZ-IEEE). Publ by IEEE.