6533b837fe1ef96bd12a3187

RESEARCH PRODUCT

A Compact Representation of Preferences in Multiple Criteria Optimization Problems

Francisco Salas-molinaAna Garcia-bernabeuJavier Reig-mullorDavid Pla-santamaria

subject

Mathematical optimizationSubjective preferencesECONOMIA APLICADAOptimization problemComputer scienceProcess (engineering)020209 energyGeneral MathematicsAnalytic hierarchy processContext (language use)02 engineering and technologyLexicographic orders0202 electrical engineering electronic engineering information engineeringComputer Science (miscellaneous)powersetRepresentation (mathematics)Engineering (miscellaneous)Preference (economics)analytic hierarchy processPowersetAnalytic hierarchy processlcsh:Mathematicslcsh:QA1-939Lexicographical orderObject (computer science)subjective preferencessubjective preferences; analytic hierarchy process; lexicographic orders; powerset12.- Garantizar las pautas de consumo y de producción sostenibles16.- Promover sociedades pacíficas e inclusivas para el desarrollo sostenible facilitar acceso a la justicia para todos y crear instituciones eficaces responsables e inclusivas a todos los niveleslexicographic orders020201 artificial intelligence & image processingECONOMIA FINANCIERA Y CONTABILIDAD

description

A critical step in multiple criteria optimization is setting the preferences for all the criteria under consideration. Several methodologies have been proposed to compute the relative priority of criteria when preference relations can be expressed either by ordinal or by cardinal information. The analytic hierarchy process introduces relative priority levels and cardinal preferences. Lexicographical orders combine both ordinal and cardinal preferences and present the additional difficulty of establishing strict priority levels. To enhance the process of setting preferences, we propose a compact representation that subsumes the most common preference schemes in a single algebraic object. We use this representation to discuss the main properties of preferences within the context of multiple criteria optimization.

yearjournalcountryeditionlanguage
2019-11-11
10.3390/math7111092http://hdl.handle.net/10251/136159