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.
The work was carried out in the framework of COST Action 274/TARSKI on Theory and Applications of Relational Structures as Knowledge Instruments.
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Radzikowska, A.M., Kerre, E.E. (2004). On L–Fuzzy Rough Sets. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds) Artificial Intelligence and Soft Computing - ICAISC 2004. ICAISC 2004. Lecture Notes in Computer Science(), vol 3070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24844-6_78
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DOI: https://doi.org/10.1007/978-3-540-24844-6_78
Publisher Name: Springer, Berlin, Heidelberg
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