An algebraic characterisation of fuzzy rough sets

Anna Maria Radzikowska, E.E. Kerre · 2005

We present an algebraic approach to fuzzy generalisation of rough sets. We take an arbitrary residuated lattice L as a basic algebraic structure. The L-fuzzy rough sets are defined using the product operator and its residuum provided by the residuated lattice L. Depending on classes of binary fuzzy relations, we define several classes of L-fuzzy rough sets and show properties of these structures.

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