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Rough Contexts and Rough-Valued Contexts
2006Formal Concept Analysis (FCA) is a method mainly used for the analysis of data, which identifies conceptual structures among data sets. Central to FCA is the notion of a formal context. In this paper, we mainly introduce some extended formal contexts to FCA in virtue of some methods from rough set theory.
Feng Jiang 0019 +2 more
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The Rough Logic and Roughness of Logical Theories
2006Tuples in an information system are taken as terms in a logical system, attributes as function symbols, a tuple taking a value at an attribute as an atomic formula. In such a way, an information system is represented by a logical theory in a logical language.
Cungen Cao 0001 +2 more
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Journal of Materials Processing Technology, 2019
In recent years, the aluminum alloys parts produced by Selective Laser Melting (SLM) are increasingly used instead of casting aluminum alloys parts in the automotive, aerospace and other fields.
Tao Yang +6 more
semanticscholar +1 more source
In recent years, the aluminum alloys parts produced by Selective Laser Melting (SLM) are increasingly used instead of casting aluminum alloys parts in the automotive, aerospace and other fields.
Tao Yang +6 more
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Rough Numbers and Rough Regression
2011In this article a new model of regression is defined. On the basis of the rough sets theory a notion of rough number is defined. Typical real numbers calculations do not keep the additional information like the uncertainty or the error of input data. Rough numbers remove this limitation.
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Rough Group, Rough Subgroup and Their Properties
2005The theory of rough sets is an extension of the set theory, for the study of intelligent systems characterized by insufficient and incomplete information. Since proposed by Pawlak, rough sets have evoked a lot of research. Theoretic study has included algebra aspect of rough sets.
Duoqian Miao 0001 +3 more
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Information Sciences, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bijan Davvaz, M. Mahdavipour
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bijan Davvaz, M. Mahdavipour
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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 ...
Bala Krushna Tripathy +2 more
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Communications of the ACM, 1995
Rough set theory, introduced by Zdzislaw Pawlak in the early 1980s [11, 12], is a new mathematical tool to deal with vagueness and uncertainty. This approach seems to be of fundamental importance to artificial intelligence (AI) and cognitive sciences, especially in the areas of machine learning, knowledge acquisition, decision analysis, knowledge ...
Zdzislaw Pawlak +3 more
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Rough set theory, introduced by Zdzislaw Pawlak in the early 1980s [11, 12], is a new mathematical tool to deal with vagueness and uncertainty. This approach seems to be of fundamental importance to artificial intelligence (AI) and cognitive sciences, especially in the areas of machine learning, knowledge acquisition, decision analysis, knowledge ...
Zdzislaw Pawlak +3 more
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Information Sciences, 2013
Rough set theory is a useful mathematical tool for dealing with the uncertainty and granularity in information systems. In this paper, rough approximations are introduced into quantales, a kind of partially ordered algebraic structure with an associative binary multiplication.
Lingyun Yang, Luoshan Xu
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Rough set theory is a useful mathematical tool for dealing with the uncertainty and granularity in information systems. In this paper, rough approximations are introduced into quantales, a kind of partially ordered algebraic structure with an associative binary multiplication.
Lingyun Yang, Luoshan Xu
openaire +1 more source