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Using rough sets for rough classification
Proceedings of 7th International Conference and Workshop on Database and Expert Systems Applications: DEXA 96, 2002Rough sets theory is emerging as a powerful tool for knowledge discovery in databases. The author introduce a rough sets based method for learning classification rules. The author's method will not necessarily derive all the consistent classification rules from a database, nor will the rules derived be totally consistent with the database.
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2004
We study the ordered set of rough sets determined by relations which are not necessarily reflexive, symmetric, or transitive. We show that for tolerances and transitive binary relations the set of rough sets is not necessarily even a semilattice. We also prove that the set of rough sets determined by a symmetric and transitive binary relation forms a ...
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We study the ordered set of rough sets determined by relations which are not necessarily reflexive, symmetric, or transitive. We show that for tolerances and transitive binary relations the set of rough sets is not necessarily even a semilattice. We also prove that the set of rough sets determined by a symmetric and transitive binary relation forms a ...
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A Semantical Approach to Rough Sets and Dominance-Based Rough Sets
2016There exist two formulations of rough sets: the conceptual and computational one. The conceptual or semantical approach of rough set theory focuses on the meaning and interpretation of concepts, while algorithms to compute those concepts are studied in the computational formulation. However, the research on the former is rather limited.
Chris Cornelis +3 more
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On Rough Equalities and Rough Equivalences of Sets
2008The different types of rough equalities [4,5,6] of sets deal with approximate equalities of sets which may not be equal in the usual sense of classical set theory. In this article, we make further study of the properties of rough equalities. A more general kind of equality of sets (we call it rough equivalence) shall be introduced, which captures ...
B. K. Tripathy +2 more
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2001
Summary: In this paper, by defining a pair of classical sets as a relative set, an extension of the classical set algebra which is a counterpart of Belnap's four-valued logic is achieved. Every relative set partitions all objects into four distinct regions corresponding to four truth-values of Belnap's logic.
Mousavi, Amin, Jabedar-Maralani, Parviz
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Summary: In this paper, by defining a pair of classical sets as a relative set, an extension of the classical set algebra which is a counterpart of Belnap's four-valued logic is achieved. Every relative set partitions all objects into four distinct regions corresponding to four truth-values of Belnap's logic.
Mousavi, Amin, Jabedar-Maralani, Parviz
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SARS-CoV-2 variants, spike mutations and immune escape
Nature Reviews Microbiology, 2021William T Harvey +2 more
exaly
Rough Sets, Rough Mereology and Uncertainty
201735 years ago Zdzislaw Pawlak published the article in which He proposed a novel idea for reasoning about uncertainty. He proposed to present knowledge as classification ability and in consequence the playground for His theory was proposed as approximation space, i.e., a set along with an equivalence relation on it, equivalence classes representing ...
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