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Four-valued Extension of Rough Sets
Linköping University, Department of Science and Technology, Visual Information Technology and Applications (VITA). Linköping University, The Institute of Technology.
Linköping University, The Institute of Technology. Linköping University, Department of Computer and Information Science, KPLAB - Knowledge Processing Lab.
Linköping University, The Institute of Technology. Linköping University, Department of Computer and Information Science, TCSLAB - Theoretical Computer Science Laboratory.
2008 (English)In: Proceedings of the 3rd International Conference Rough Sets and Knowledge Technology (RSKT), Springer , 2008, p. 106-114Conference paper, Published 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.

Place, publisher, year, edition, pages
Springer , 2008. p. 106-114
Series
Lecture Notes in Computer Science, ISSN 0302-9743 ; 5009
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-43561DOI: 10.1007/978-3-540-79721-0_19Local ID: 74200ISBN: 978-3-540-79720-3 (print)OAI: oai:DiVA.org:liu-43561DiVA, id: diva2:264421
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2011-03-04

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Vitoria, AidaSzalas, AndrzejMaluszynski, Jan

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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
Engineering and Technology

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Citation style
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  • Other locale
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