Membership function based rough set

  • Authors:
  • Mihir K. Chakraborty

  • Affiliations:
  • Center for Soft Computing Research, Indian Statistical Institute, Kolkata, India and School of Cognitive Science, Jadavpur University, Kolkata, India

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2014

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Abstract

In this paper the notion of a kind of clusters of subsets of a set based on rough membership function is introduced. The algebraic structure emerged thereby is studied. A comparison with classical rough sets with respect to the algebraic properties has been made. A many-valued propositional logic for such entities is proposed. Representation theorems in the style of Obtulowicz have been established.