A Conceptual View of Knowledge Bases in Rough Set Theory

Wolff, Karl

doi:10.1007/3-540-45554-x_26

Cited by 29 publications

(9 citation statements)

References 10 publications

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“…To facilitate our discussion, some basic notions and results related to this paper are reviewed in this section 7,29,31 .…”

Section: Preliminariesmentioning

confidence: 99%

Attribute reduction based on maximal rules in decision formal context

Li¹,

Mi²,

Xie³

2014

IJCIS

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One of the key issues in the theory of concept lattices is to extract the useful rules from the decision formal context. The maximal rules implicate the others, thus people are interested in them. This paper proposes two new kinds of attribute reduction in the decision formal context based on maximal rules. The reducts preserve all the condition extensions and the decision extensions related to the original maximal rules. The internal relationship between the original maximal rules and the maximal rules in the reduced decision formal context is derived. The reducts can make the maximal rules more concise and accurate. The mathematical property of the proposed attribute reduction is investigated and we construct the discernibility matrix and function to compute all the reducts. Finally, all the attributes are classified into three types based on the maximal rules. The characteristics of these types of attributes are also analyzed.

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“…To facilitate our discussion, some basic notions and results related to this paper are reviewed in this section 7,29,31 .…”

Section: Preliminariesmentioning

confidence: 99%

Attribute reduction based on maximal rules in decision formal context

Li¹,

Mi²,

Xie³

2014

IJCIS

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“…However, it has certain limitations in processing fuzzy and uncertain knowledge, in terms of semantic representation of knowledge. In order to deal with fuzzy or uncertain knowledge, it is necessary to use multivalued context in formal concept analysis for combining two theories in the form [9,10,13,14,17]. The definition of the multivalued context is first given as follows.…”

Section: Formal Concept Analysismentioning

confidence: 99%

Extended representation of the conceptual element in temporal context and the diachronism of the knowledge system

Zhao¹,

Liu²,

Hu³

2012

Knowledge-Based Systems

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“…They uniquely determine each other. As a very effective method for data analysis, formal concept analysis has been widely applied in machine learning, artificial intelligence and knowledge discovery [5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Attribute reduction in decision formal context based on homomorphism

Pei

2011

Int. J. Mach. Learn. & Cyber.

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Attribute reduction in concept lattices is one of the key problems in the study of concept lattice theory. This paper defines a homomorphism consistent set and provides an approach to attribute reduction of a consistent decision formal context based on concept lattices. We also examine the relationship between homomorphism consistent set and attribute consistent set. The method for judging a homomorphism consistent set is simpler than the existing ones.

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A Conceptual View of Knowledge Bases in Rough Set Theory

Cited by 29 publications

References 10 publications

Attribute reduction based on maximal rules in decision formal context

Attribute reduction based on maximal rules in decision formal context

Extended representation of the conceptual element in temporal context and the diachronism of the knowledge system

Attribute reduction in decision formal context based on homomorphism

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