## Preferences and Similarities (Google eBook)Giacomo Riccia, Didier Dubois, Hans-Joachim Lenz, Rudolf Kruse The fields of similarity and preference are still broadening due to the exploration of new fields of application. This is caused by the strong impact of vagueness, imprecision, uncertainty and dominance on human and agent information, communication, planning, decision, action, and control as well as by the technical progress of the information technology itself. The topics treated in this book are of interest to computer scientists, statisticians, operations researchers, experts in AI, cognitive psychologists and economists. |

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### Contents

1 | |

A Logicbased View of Similarities and Preferences | 23 |

An overview of bipolar qualitative decision rules | 47 |

an overview | 75 |

A Survey | 129 |

Similarity and Distance | 160 |

Similarity Relations and Independence Concepts | 179 |

Imprecision and Structure in Modelling Subjective Similarity | 197 |

How to Use Similarity to Make Forecasts That Pass Statistical Tests | 215 |

Comparing decisions on the basis of a bipolar typology of arguments | 248 |

A Snapshot on Reasoning with Qualitative Preference Statements in AI | 265 |

On the Problem of Label Ranking and Its Variants | 283 |

Modelling Frameworks and Multiagent Settings | 305 |

### Common terms and phrases

alternatives applied approach Approximate Reasoning Artificial Intelligence Aspp(d attributes axiom Baets belief revision binary bipolar bound function classical complete Computer concept conditional consider context copulas corresponding CP-nets criteria cycle-transitivity decision rules decision theory defensive forecasting defined degree Didier Dubois distance entailment equivalence relation equivalent erent example expressed Fargier finite formal formulas framework fuzzy logic Fuzzy Sets goal Godo independence interpretation Klawonn label language law of large learning many-valued martingale matching metric modal logic negative arguments nonmonotonic notion object variable operators Orlowska pair pairwise possibilistic possible worlds Prade prediction preference relation probability distribution problem properties propositional Protocol qualitative ranking reflexive resp Ruspini satisfy semantics Sets and Systems Shafer similarity measures similarity relation similarity-based reasoning soft constraints strategy for Skeptic structure subset symmetric t-norm theorem theory tion transitivity truthlikeness uncertainty utility values vector Vovk Zadeh