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Construction of aggregation functions from data using linear programming
This article examines the construction of aggregation functions from data by minimizing the least absolute deviation criterion. We formulate various instances of such problems as linear programming problems. We consider the cases in which the data are provided as intervals, and the outputs ordering needs to be preserved, and show that linear programming formulation is valid for such cases. This feature is very valuable in practice, since the standard simplex method can be used.
History
Journal
Fuzzy sets and systemsVolume
160Issue
1Pagination
65 - 75Publisher
ElsevierLocation
Amsterdam, NetherlandsPublisher DOI
ISSN
0165-0114eISSN
1872-6801Language
engPublication classification
C1 Refereed article in a scholarly journal; C Journal articleCopyright notice
2008, Elsevier B.V.Usage metrics
Keywords
aggregation operatorsfuzzy setsquasi-arithmetic meansOWAtriangular normsleast absolute deviationScience & TechnologyTechnologyPhysical SciencesComputer Science, Theory & MethodsMathematics, AppliedStatistics & ProbabilityComputer ScienceMathematicsOWA OPERATORSWEIGHTSUNINORMUTILITYArtificial Intelligence and Image Processing
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