Roughness in MV-algebras

  • Authors:
  • S. Rasouli;B. Davvaz

  • Affiliations:
  • Department of Mathematics, Yazd University, Yazd, Iran;Department of Mathematics, Yazd University, Yazd, Iran

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2010

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Abstract

In this paper, by considering the notion of an MV-algebra, we consider a relationship between rough sets and MV-algebra theory. We introduce the notion of rough ideal with respect to an ideal of an MV-algebra, which is an extended notion of ideal in an MV-algebra, and we give some properties of the lower and the upper approximations in an MV-algebra.