beliakov-constructionofaggregation-2007.pdf (296.17 kB)
Construction of aggregation operators for automated decision making via optimal interpolation and global optimization
This paper examines methods of point wise construction of aggregation operators via optimal interpolation. It is shown that several types of application-specific requirements lead to interpolatory type constraints on the aggregation function. These constraints are translated into global optimization problems, which are the focus of this paper. We present several methods of reduction of the number of variables, and formulate suitable numerical algorithms based on Lipschitz optimization.
History
Journal
Journal of industrial and management optimizationVolume
3Issue
2Pagination
193 - 208Publisher
American Institute of Mathematical SciencesLocation
Springfield, Mo.ISSN
1547-5816Language
engPublication classification
C1 Refereed article in a scholarly journalCopyright notice
2007, American Institute of Mathematical SciencesUsage metrics
Keywords
aggregation operatorsfuzzy logicglobal optimizationscattered data interpolationScience & TechnologyTechnologyPhysical SciencesEngineering, MultidisciplinaryOperations Research & Management ScienceMathematics, Interdisciplinary ApplicationsEngineeringMathematicsFUSIONArtificial Intelligence and Image Processing
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