Dominance-Based Rough Set Approach Using Possibility and Necessity Measures

  • Authors:
  • Salvatore Greco;Masahiro Inuiguchi;Roman Slowinski

  • Affiliations:
  • -;-;-

  • Venue:
  • TSCTC '02 Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing
  • Year:
  • 2002

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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.