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Four-valued Extension of Rough Sets
2008 (English)In: Proceedings of the 3rd International Conference Rough Sets and Knowledge Technology (RSKT), Springer, 2008, 106-114Conference paper (Refereed)
Abstract [en]

Rough set approximations of Pawlak [15] are sometimes generalized by using similarities between objects rather than elementary sets. In practical applications, both knowledge about properties of objects and knowledge of similarity between objects can be incomplete and inconsistent. The aim of this paper is to define set approximations when all sets, and their approximations, as well as similarity relations are four-valued. A set is four-valued in the sense that its membership function can have one of the four logical values: unknown (u), false (f), inconsistent (i), or true (t). To this end, a new implication operator and set-theoretical operations on four-valued sets, such as set containment, are introduced. Several properties of lower and upper approximations of four-valued sets are also presented.

Series
Lecture Notes in Computer Science, ISSN 0302-9743 ; 5009
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-43561 (URN)10.1007/978-3-540-79721-0_19 (DOI)74200 (Local ID)978-3-540-79720-3 (ISBN)oai:DiVA.org:liu-43561 (OAI)diva2:264421 (DiVA)
Available from2009-10-10 Created:2009-10-10 Last updated:2011-03-04

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Vitoria, AidaSzalas, AndrzejMaluszynski, Jan
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Visual Information Technology and Applications (VITA)The Institute of TechnologyKPLAB - Knowledge Processing LabTCSLAB - Theoretical Computer Science Laboratory
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