Multi-criteria classification – A new scheme for application of dominance-based decision rules |
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Authors: | Jerzy B?aszczyński Salvatore Greco Roman S?owiński |
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Institution: | 1. Institute of Computing Science, Poznań University of Technology, 60-965 Poznań, Poland;2. Faculty of Economics, University of Catania, 95129 Catania, Italy;3. Institute for Systems Research, Polish Academy of Sciences, 01-447 Warsaw, Poland |
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Abstract: | We are considering the problem of multi-criteria classification. In this problem, a set of “if … then …” decision rules is used as a preference model to classify objects evaluated by a set of criteria and regular attributes. Given a sample of classification examples, called learning data set, the rules are induced from dominance-based rough approximations of preference-ordered decision classes, according to the Variable Consistency Dominance-based Rough Set Approach (VC-DRSA). The main question to be answered in this paper is how to classify an object using decision rules in situation where it is covered by (i) no rule, (ii) exactly one rule, (iii) several rules. The proposed classification scheme can be applied to both, learning data set (to restore the classification known from examples) and testing data set (to predict classification of new objects). A hypothetical example from the area of telecommunications is used for illustration of the proposed classification method and for a comparison with some previous proposals. |
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Keywords: | Multi-criteria classification Rough Sets Dominance Decision rules Classifiers |
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