Attribute reduction based on maximal rules in decision formal context

Concept lattice has been successfully applied to various fields as an effective tool for data analysis and knowledge discovery, with attribute reduction being the key problem. This paper combines the intuitionistic fuzzy theory with the concept lattice theory and proposes one kind of concept lattice in intuitionistic fuzzy generalized consistent decision formal context. Furthermore, an approach to attribute a reduction in the discernibility matrix is proposed and investigated, making the discovery of implicit knowledge easier and the representation simpler in the data system and perfecting the theory of concept lattice. Moreover, this paper studies, in detail, the algorithms and case study of data analysis in the intuitionistic fuzzy generalized consistent decision formal context. The potential value of the method to deal with information discussed in this paper, especially the value of forecasting and decision-making, is expected in future.

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Attribute reduction in decision formal context based on homomorphism

International Journal of Machine Learning and Cybernetics ◽

10.1007/s13042-011-0034-z ◽

2011 ◽

Vol 2 (4) ◽

pp. 289-293 ◽

Cited By ~ 24

Author(s):

Duo Pei ◽

Ju-Sheng Mi

Keyword(s):

Attribute Reduction ◽

Formal Context ◽

Decision Formal Context

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Attribute Reduction in Consistent Decision Formal Context

Information Technology Journal ◽

10.3923/itj.2008.170.174 ◽

2007 ◽

Vol 7 (1) ◽

pp. 170-174 ◽

Cited By ~ 2

Author(s):

Jian-Jun Qi ◽

Ling Wei .

Keyword(s):

Attribute Reduction ◽

Formal Context ◽

Decision Formal Context

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Attribute Reduction in Soft Contexts Based on Soft Sets and Its Application to Formal Contexts

Mathematics ◽

10.3390/math8050689 ◽

2020 ◽

Vol 8 (5) ◽

pp. 689

Author(s):

Won Keun Min

Keyword(s):

Attribute Reduction ◽

Extraction Process ◽

Formal Context ◽

Soft Sets ◽

Step Method ◽

The Relationship

We introduce the notion of the reduct of soft contexts, which is a special notion of a consistent set for soft contexts. Then, we study its properties and show that this notion is well explained by the two classes, 1 0 and 2 0 , of independent attributes. In particular, we describe in detail how to extract a reduct from a given consistent set. Then, based on this extraction process, we propose a six-step method for constructing a reduct from a given consistent set. Additionally, to apply this method to formal contexts, we examine the relationship between the reducts of a given formal context and the reducts of the associated soft context. We finally illustrate the process of obtaining reducts in a formal context using this relationship and the six-step method using an example.

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Knowledge structure preserving fuzzy attribute reduction in fuzzy formal context

International Journal of Approximate Reasoning ◽

10.1016/j.ijar.2019.09.012 ◽

2019 ◽

Vol 115 ◽

pp. 209-220 ◽

Cited By ~ 6

Author(s):

Yanhui Zhai ◽

Deyu Li

Keyword(s):

Attribute Reduction ◽

Knowledge Structure ◽

Formal Context ◽

Structure Preserving

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Attribute Reduction Based on Property Pictorial Diagram

The Scientific World JOURNAL ◽

10.1155/2014/109706 ◽

2014 ◽

Vol 2014 ◽

pp. 1-9

Author(s):

Qing Wan ◽

Ling Wei

Keyword(s):

Lattice Structure ◽

Concept Lattice ◽

Attribute Reduction ◽

Object Oriented ◽

Formal Context ◽

Reduction Approach

This paper mainly studies attribute reduction which keeps the lattice structure in formal contexts based on the property pictorial diagram. Firstly, the property pictorial diagram of a formal context is defined. Based on such diagram, an attribute reduction approach of concept lattice is achieved. Then, through the relation between an original formal context and its complementary context, an attribute reduct of complementary context concept lattice is obtained, which is also based on the property pictorial diagram of the original formal context. Finally, attribute reducts in property oriented concept lattice and object oriented concept lattice can be acquired by the relations of attribute reduction between these two lattices and concept lattice of complementary context. In addition, a detailed illustrative example is presented.

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