### 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 language | English |
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Title of host publication | 92 IEEE Int Conf Fuzzy Syst FUZZ-IEEE |

Publisher | Publ by IEEE |

Pages | 263-270 |

Number of pages | 8 |

ISBN (Print) | 0780302362 |

Publication status | Published - 1992 |

Event | 1992 IEEE International Conference on Fuzzy Systems - FUZZ-IEEE - San Diego, CA, USA Duration: Mar 8 1992 → Mar 12 1992 |

### Other

Other | 1992 IEEE International Conference on Fuzzy Systems - FUZZ-IEEE |
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City | San Diego, CA, USA |

Period | 3/8/92 → 3/12/92 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*92 IEEE Int Conf Fuzzy Syst FUZZ-IEEE*(pp. 263-270). Publ by IEEE.

**Reasoning by analogy with fuzzy rules.** / Kóczy, L.; Hirota, Kaoru.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*92 IEEE Int Conf Fuzzy Syst FUZZ-IEEE.*Publ by IEEE, pp. 263-270, 1992 IEEE International Conference on Fuzzy Systems - FUZZ-IEEE, San Diego, CA, USA, 3/8/92.

}

TY - GEN

T1 - Reasoning by analogy with fuzzy rules

AU - Kóczy, L.

AU - Hirota, Kaoru

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0026962379&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026962379&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026962379

SN - 0780302362

SP - 263

EP - 270

BT - 92 IEEE Int Conf Fuzzy Syst FUZZ-IEEE

PB - Publ by IEEE

ER -