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., B. Matarazzo and R. Słowiński. “Rough Approximation of Preference Relation by Dominance Relations”. ICS Research Report 16/96, Warsaw University of Technology, 1996 and European Journal of Operational Research, vol. 117, pp. 63–83, 1999
Greco, S., B. Matarazzo and R. Słowiński. “A new rough set approach t evaluation of bankruptcy risk”. In: C. Zopounidis (ed.): Operational Tools in the Management of Financial Risk. Kluwer Academic Publishers, Dordrecht, Boston, pp. 121–136, 1998.
Greco, S., B. Matarazzo and R. Słowiński. “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. Słowiński. “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.
Greco, S., B. Matarazzo and R. Słowiński. “Fuzzy dominance-based rough set approach” In F. Masulli, R. Parenti, G. Pasi (eds), Advances in Fuzzy Systems and Intelligent Technologies, Shaker Publishing Maastricht (NL), 2000, pp. 56–66.
Inuiguchi, M., S. Greco, R. Słowiński and T. Tanino. “Possibility and necessity measure specification using modifiers for decision making under fuzziness”. Fuzzy Sets and Systems, to appear
Inuiguchi, M. and T. Tanino. “Necessity measures and parametric inclusion relations of fuzzy sets”. Fundamenta Informaticae, vol. 42, pp. 279–302, 2000.
Pawlak, Z. “Rough sets”. International Journal of Information & Computer Sciences, vol. 11, pp. 341–356. 1982.
Pawlak, Z. Rough Sets. Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht, 1991.
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Greco, S., Inuiguchi, M., Slowiński, R. (2002). Dominance-Based Rough Set Approach Using Possibility and Necessity Measures. In: Alpigini, J.J., Peters, J.F., Skowron, A., Zhong, N. (eds) Rough Sets and Current Trends in Computing. RSCTC 2002. Lecture Notes in Computer Science(), vol 2475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45813-1_11
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DOI: https://doi.org/10.1007/3-540-45813-1_11
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