### Abstract

A tuple of fuzzy constraints defined on a discrete satisfaction scale defines a lattice structure, called relaxation space, made of the tuples of level cuts of the fuzzy constraints, equipped with the partial order induced by the scale ordering. Then choosing a way of combining the fuzzy constraints has two joint effects: usually a completion of the ordering between tuples of levels, and possibly a simplification of the relaxation space (by eliminating subsumed tuples corresponding to the same level of global satisfaction). The paper investigates the possibility of specifying the ordering between tuples of level cuts constraints on a simplified relaxation space, without resorting to the use of explicit aggregation operations. The idea is to elicitate the preferences between the tuples of constraints representing various relaxations of the set of fuzzy constraints, directly from the user. How to express these preferences in a local manner is also discussed.

Original language | English |
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Title of host publication | NINTH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2000) |

Publisher | IEEE |

Pages | 228-233 |

Number of pages | 6 |

Volume | 1 |

ISBN (Print) | 0-7803-5878-3 |

Publication status | Published - 1 Jan 2000 |

Event | FUZZ-IEEE 2000: 9th IEEE International Conference on Fuzzy Systems - San Antonio, TX, USA Duration: 7 May 2000 → 10 May 2000 |

### Conference

Conference | FUZZ-IEEE 2000: 9th IEEE International Conference on Fuzzy Systems |
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City | San Antonio, TX, USA |

Period | 7/05/00 → 10/05/00 |

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### Cite this

*NINTH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2000)*(Vol. 1, pp. 228-233). IEEE.