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Non-adaptability measures in the pseudo-questionnaires context |
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| Authors: | C Bertoluzza V Doldi J Jimnez S Montes |
| Institution: | aDepartment of Computer Engineering and Systems Science, University of Pavia, Via Ferrata 1, 27100 Pavia, Italy bDepartment of Mathematics, University of Pavia, Via Ferrata 1, 27100 Pavia, Italy cDepartment of Mathematics, University of Oviedo, University Technical School of Industrial Engineers, Viesques Campus, 33203 Gijón, Spain dDepartment of Statistics and O.R., University of Oviedo, University Technical School of Industrial Engineers, Viesques Campus, 33203 Gijón, Spain |
| Abstract: | Measuring the degree of non-adaptability of a partition to a criterion, represented by a reference partition, is an essential step in pseudo-questionnaires theory. In this work we characterize axiomatically the measure of non-adaptability in a general context. We base it on pre-orders on the set of all the possible experiences (complete or incomplete partitions). The construction of this measure is crucial for practical applications. It can be done in a natural way starting from the atoms of the partitions and constructing the non-adaptability measure by a process of successive aggregations made by suitable aggregation operators. |
| Keywords: | Pseudo-questionnaire Partition T-norm and t-conorm Non-additive measure Adaptability Compositive non-adaptability measure |
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