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International Conference on Rough Sets and Current Trends in Computing

RSCTC 2002: Rough Sets and Current Trends in Computing pp 85–92Cite as

Dominance-Based Rough Set Approach Using Possibility and Necessity Measures

Part of the Lecture Notes in Computer Science book series (LNAI,volume 2475)

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.

Keywords

  • Membership Function
  • Dominance Relation
  • Debt Ratio
  • Information Granulation
  • Possibility Measure

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Author information

Authors and Affiliations

  1. Faculty of Economics, University of Catania, Corso Italia, 55, 95129, Catania, Italy

    Salvatore Greco

  2. Graduate School of Engineering, Osaka University, Suita, Osaka, 565-0871, Japan

    Masahiro Inuiguchi

  3. Institute of Computing Science, Poznan University of Technology, 60-965, Poznan, Poland

    Roman Slowiński

Authors
  1. Salvatore Greco
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  2. Masahiro Inuiguchi
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  3. Roman Slowiński
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Editor information

Editors and Affiliations

  1. Penn State Great Valley School of Professional Graduate Studies, 30 East Swedesford Road, Malvern, PA, 19355, USA

    James J. Alpigini

  2. Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, MB, R3T 5V6, Canada

    James F. Peters

  3. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warsaw, Poland

    Andrzej Skowron

  4. Department of Systems and Information Engineering, Maebashi Institute of Technology, 460-1 Kamisadori-Cho, Maebashi-City, 371-0816, Japan

    Ning Zhong

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© 2002 Springer-Verlag Berlin Heidelberg

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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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