### Abstract

It is an important question if rule interpolation is done whether the theoretical shape of the membership function of the calculated conclusion is exactly or approximately linear between two neighboring α-levels in the breakpoint set, or it has a very different shape. In the latter case, interpolation for only a few (as e.g. 0 and 1) levels is not satisfactory, which fact might increase the computational time necessary for generating the conclusion by a large constant factor. It is also examined if the conclusion has a convex and normal membership function, i.e. whether the calculated infima exceed the calculated suprema of the given α-cut or not.

Original language | English |
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Pages | 870-875 |

Number of pages | 6 |

Publication status | Published - Dec 1 1994 |

Event | Proceedings of the 3rd IEEE Conference on Fuzzy Systems. Part 3 (of 3) - Orlando, FL, USA Duration: Jun 26 1994 → Jun 29 1994 |

### Other

Other | Proceedings of the 3rd IEEE Conference on Fuzzy Systems. Part 3 (of 3) |
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City | Orlando, FL, USA |

Period | 6/26/94 → 6/29/94 |

### ASJC Scopus subject areas

- Software
- Theoretical Computer Science
- Artificial Intelligence
- Applied Mathematics

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## Cite this

Koczy, L. T., & Kovacs, S. (1994).

*Linearity and the cnf property in linear fuzzy rule interpolation*. 870-875. Paper presented at Proceedings of the 3rd IEEE Conference on Fuzzy Systems. Part 3 (of 3), Orlando, FL, USA, .