2004 | OriginalPaper | Buchkapitel
Algebras from Rough Sets
verfasst von : Mohua Banerjee, Mihir K. Chakraborty
Erschienen in: Rough-Neural Computing
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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Rough set theory has seen nearly two decades of research on both foundations and on diverse applications. A substantial part of the work done on the theory has been devoted to the study of its algebraic aspects. ‘Rough algebras’ now abound, and have been shown to be instances of various algebraic structures, both well-established and relatively new, e.g., quasi-Boolean, Stone, double Stone, Nelson, Lukasiewicz algebras, on the one hand, and topological quasi-Boolean, prerough and rough algebras, on the other. More interestingly and importantly, some of these latter algebras find a new dimension (interpretation) through representations as rough structures. An attempt is made here to present the various relationships and to discuss the representation results.