On L-fuzzy rough sets

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Abstract

In this paper we introduce a new class of algebras, called extended residuated lattices. Basing on this structure we present an algebraic generalization of approximation operators and rough sets determined by abstract counterparts of fuzzy logical operations. We show formal properties of these structures taking into account several classes of fuzzy relations.

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Radzikowska, A. M., & Kerre, E. E. (2004). On L-fuzzy rough sets. In Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science) (Vol. 3070, pp. 526–531). Springer Verlag. https://doi.org/10.1007/978-3-540-24844-6_78

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