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Roughness in MV-algebras. (English) Zbl 1194.06009

Summary: 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.

MSC:

06D35 MV-algebras
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