Abstract
Dominance-based rough set approach is an extension of the basic rough set approach proposed by Pawlak, to multicriteria classification problems. In this paper, the dominance-based rough set approach is considered in the context of vague information on preferences and decision classes. The vagueness is handled by possibility and necessity measures defined using modifiers of fuzzy sets. Due to this way of handling the vagueness, the lower and upper approximations of preference-ordered decision classes are fuzzy sets whose membership functions are necessity and possibility measures, respectively.
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References
Greco, S., M. Inuiguchi and R. Slowinski. “Dominance-based Rough Set Approach Using Possibility and Necessity Measures”. Proceedings of the Third International Conference, RSCTC (Rough Sets and Current Trends in Computing) 2002 October 14–16, 2002, Penn State Great Valley, Lecture Notes in Computer Science / Lecture Notes in Artificial Intelligence (LNCS/LNAI),Springer-Verlag, (in print)
Greco, S., B. Matarazzo and R. Slowinski. “The use of rough sets and fuzzy sets in MCDM”. In: T. Gal, T. Hanne and T. Stewart (eds.): Advances in Multiple Criteria Decision Making. Kluwer Academic Publishers, Dordrecht, Boston, chapter 14, pp.14.1–14. 59, 1999.
Greco, S., B. Matarazzo and R. Slowinski. “A fuzzy extension of the rough set approach to multicriteria and multiattribute sorting”. In J. Fodor, B. De Baets and P. Perny (eds.): Preferences and Decisions under Incomplete Information, Physica-Verlag, Heidelberg, 2000, pp. 131–154.
Inuiguchi, M., S. Greco, R. Slowinski and T. Tanino. “Possibility and necessity measure specification using modifiers for decision making under fuzziness”. Fuzzy Sets and Systems,to appear
Pawlak, Z. Rough Sets. Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht, 1991.
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Greco, S., Inuiguchi, M., Słowiński, R. (2003). Possibility and Necessity Measures in Dominance-based Rough Set Approach. In: Multi-Objective Programming and Goal Programming. Advances in Soft Computing, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36510-5_16
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DOI: https://doi.org/10.1007/978-3-540-36510-5_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-00653-4
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