2004
DOI: 10.1111/j.0824-7935.2004.00235.x
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Utility Functions for Ceteris Paribus Preferences

Abstract: Ceteris paribus preference statements concisely represent preferences over outcomes or goals in a way natural to human thinking. Many decision making methods require an efficient method for comparing the desirability of two arbitrary goals. We address this need by presenting an algorithm for converting a set of qualitative ceteris paribus preferences into a quantitative utility function. Our algorithm is complete for a finite universe of binary features. Constructing the utility function can, in the worst case… Show more

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Cited by 33 publications
(55 citation statements)
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“…Besides we will focus more closely on quality aspects of skyline queries. In this context especially a-posteriori quality assessments along the lines of our sampling technique and qualitative assessments like in [17] may help users to cope with large result sets. We will also investigate our proposed quality measures in more detail and evaluate their individual usefulness.…”
Section: Discussionmentioning
confidence: 99%
“…Besides we will focus more closely on quality aspects of skyline queries. In this context especially a-posteriori quality assessments along the lines of our sampling technique and qualitative assessments like in [17] may help users to cope with large result sets. We will also investigate our proposed quality measures in more detail and evaluate their individual usefulness.…”
Section: Discussionmentioning
confidence: 99%
“…As observed in (McGeachie & Doyle 2004), conjunctive preferences are sufficiently expressive to represent conditional preferences (Boutilier et al 1999) of the form:…”
Section: Conjunctive Preference Statementsmentioning
confidence: 99%
“…al. have introduced ceterisparibus preferences between propositional formulas (Doyle, Shoham, & Wellman 1991;McGeachie & Doyle 2004). Boutilier and Brafman et.…”
Section: Introductionmentioning
confidence: 99%
“…The attribute level relation i , which is a subset of U i × U i , is a qualitative preference relation over the value set of A i . The extension of an attribute level preference to respective object level preferences generally follows the well-known ceteris paribus semantics [18] ("all other things being equal"). The ceteris paribus condition states that a domination relationship between two objects can only be applied, if one object dominates the other in one attribute and the remaining attributes of both object show exactly the same values.…”
Section: Specification Of Preference Relationsmentioning
confidence: 99%
“…In general, this definition means: given two tuples X µ , Y µ from the same amalgamated dimensions given in µ, the relation X,Y µ is a set of pairs of the form (o 1 , o 2 ) where the attributes of o 1 projected on the amalgamated attributes equal those of X µ , the attributes of o 2 projected on the amalgamated dimensions equal those of Y µ , and furthermore all other attributes (which are not within the amalgamated dimensions defined in µ) are identical in o 1 and o 2 . The last requirement again denotes the ceteris paribus condition [18], i.e., the dominated object has to show equal values with respect to all non-amalgamated attributes.…”
Section: Definition 5 (Amalgamated Preference)mentioning
confidence: 99%