In rough set theory, the lower and upper approximation operators are important notions defined by a binary rela-tion. In this paper. we introduce a general type of relation-based fuzzy rough model determined by a triangular norm Prop-erties of fuzzy rough approximation operators are examined. The fuzzy rough approximation operators are also characterizedby axioms. A rnmparative study of the fuzzy rough set algebra with other mathematical structures such as fuzzy topologicalspaces, fuzzy measurable spaces, and fuzzy belief structures is investigated.
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