Roughness in n-ary hypergroups

  • Authors:

  • V. Leoreanu-Fotea;B. Davvaz

  • Affiliations:

  • Faculty of Mathematics, "Al.I. Cuza" University, 6600 Iaşi, Romania;Department of Mathematics, Yazd University, Yazd, Iran

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2008

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Abstract

This paper is aimed at studying the rough sets within the context of the commutative n-ary hypergroups. For this approach, the presentation of a detailed study of the various types of n-ary subhypergroups is of the greatest importance. This study was initiated in [V. Leoreanu-Fotea, Several types of n-ary subhypergroups, Italian Journal of Pure and Applied Mathematics, in press]. Subsequently, we shall use the findings in this study to define the upper and lower approximation of a subset with respect to an invertible n-ary subhypergroup of a commutative n-ary hypergroup. In the final part, the concept of n-ary rough subhypergroup is introduced.