Kind Of Concept Lattice Research Articles

The Feature Description of Formal Context Based on the Relationships among Concept Lattices.

Three-way concept analysis (3WCA) is extended research of formal concept analysis (FCA) by combining three-way decision. The three-way object oriented concept lattice (OEOL) is one of the important data structures which integrates rough set, concept lattice and three-way decision in 3WCA. In the paper, we investigate the characteristics of formal context based on the isomorphic relationship among the kinds of concept lattices with OEOL. Firstly, II-dual intersectable attributes and II-dual intersectable context are proposed and the relationship between the type I-dual intersectable context(dual intersectable context) and the type II-dual intersectable context are studied. In addition, the relationship among the kinds of concept lattices with OEOL are studied when the formal context is both I-dual intersectable context and II-dual intersectable context. Finally, the inverse problems of the above conclusions are discussed and the following two conclusions are obtained: (1) the formal context is the type II-dual intersectable context, when the object oriented concept lattice and OEOL are isomorphic. (2) In addition, the formal context is the type I-dual intersectable context, when the concept lattice and OEOL are anti-isomorphic.

The Method of Data Analysis in Intuitionistic Fuzzy Generalized Consistent 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.

Construction Method of λ-Concept Lattice in Fuzzy Formal Context

From the view of fuzzy cut set, the fuzzy concept lattice was analyzed and researched and a new kind of concept lattice was proposed. The concept lattice with every different confidence can be constructed through selecting different level of . From two different angles of context and concept, two corresponding construction methods, context cut method and concept cut method, were discussed, and some results were given. Furthermore, an example was provided to illustrate the method correct.

Parallel Construction of Variable Precision Concept Lattice in Fuzzy Formal Context

Based on the fuzzy cut method, the fuzzy concept lattice was analyzed and researched and a new kind of concept lattice which called variable precision concept lattice was proposed. This kind of concept lattice can be constructed with every different confidence through selecting different level. Two corresponding construction methods, context cut method and concept cut method, were discussed in the two different angles, and some results were given. Furthermore, a case study was carried on.