The relationship between coverings and tolerance relations
by Xiaoli Song, Guilong Liu, Jie Liu
International Journal of Granular Computing, Rough Sets and Intelligent Systems (IJGCRSIS), Vol. 1, No. 4, 2010

Abstract: A tolerance relation is a relation that is reflexive and symmetric. The concept of a covering is an extension of that of a partition. Tolerance relations and covering rough sets provide a general tool for studying indiscernibility phenomena. This paper studies the relationship between tolerance relations and coverings. We show that with any covering, we can associate a tolerance relation and vice versa, for which the upper approximations are invariant under the procedure. Finally, we give an axiomatic characterisation of the second type of covering upper approximations.

Online publication date: Sat, 20-Nov-2010

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