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In this paper, we consider a ring as a universal set and we assume that the knowledge about objects is restricted by a fuzzy ideal. Then we define the unified lower and upper approximations of a subset of a ring based on a fuzzy ideal. Some properties of the unified approximation operators are examined.
Axiomatic characterization of rough approximation operators is one of the important aspects in the study of rough set theory. In axiomatic approach, various classes of rough approximation operators are characterized by different sets of axioms. Axioms of approximation operators guarantee the existence of certain types of binary relations producing the same operators. In this paper, the approximation...
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