Rough set approach to multiple criteria classification with imprecise evaluations and assignments

Krzysztof Dembczynski, Salvatore Greco () and Roman Slowinski

European Journal of Operational Research, 2009, vol. 198, issue 2, 626-636

Abstract: Dominance-based Rough Set Approach (DRSA) has been introduced to deal with multiple criteria classification (also called multiple criteria sorting, or ordinal classification with monotonicity constraints), where assignments of objects may be inconsistent with respect to dominance principle. In this paper, we consider an extension of DRSA to the context of imprecise evaluations of objects on condition criteria and imprecise assignments of objects to decision classes. The imprecisions are given in the form of intervals of possible values. In order to solve the problem, we reformulate the dominance principle and introduce second-order rough approximations. The presented methodology preserves well-known properties of rough approximations, such as rough inclusion, complementarity, identity of boundaries and precisiation. Moreover, the meaning of the precisiation property is extended to the considered case. The paper presents also a way to reduce decision tables and to induce decision rules from rough approximations.

Keywords: Dominance-based; rough; set; approach; Multiple; criteria; decision; analysis; Multiple; criteria; classification; Ordinal; classification; Monotonicity; constraints; Decision; rules; Imprecise; information; Interval; order (search for similar items in EconPapers)
Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (26)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:198:y:2009:i:2:p:626-636

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