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International Journal of Approximate Reasoning, 2013 This paper is concerned with the relationship between contexts, closure spaces, and complete lattices. It is shown that, for a unital quantale L, both formal concept lattices and property oriented concept lattices are functorial from the category L-Ctx of L-contexts and infomorphisms to the category L-Sup of complete L-lattices and suprema-preserving ...
Lili Shen, Dexue Zhang
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Representing a concept lattice by a graph
Discrete Applied Mathematics, 2004 Concept lattices (also called Galois lattices) are an ordering of the maximal rectangles defined by a binary relation. In this paper, we present a new relationship between lattices and graphs: given a binary relation R, we define an underlying graph G_R, and establish a one-to-one correspondence between the set of elements of the concept lattice of R ...
Anne Berry
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International Journal of Computational Intelligence Systems, 2021 Concept lattice, as an effective tool for knowledge acquisition and data analysis, has been successfully used in many fields. Aiming at the problem of groups for uncertain information in the linguistic environment, this paper mainly focuses on the ...
Hui Cui +4 more
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Research on Drift Calculation of Concept Lattice for Sliding Window Method
Jisuanji kexue yu tansuo, 2021 Concept lattice is an effective tool for data analysis and rule acquisition. In recent years, the application and research of concept lattice has gradually become an important research direction in the field of data analysis.
XU Jilin, XU Jianfeng, LIU Long, WU Fangwen
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A Combination Algorithm of Multiple Lattice-Valued Concept Lattices [PDF]
International Journal of Computational Intelligence Systems, 2013 With the rapid development of network technology, especially in the internet area, distributed computation and parallel processing of data are urgently needed. This paper studies the combination operation of the lattice-valued concept lattices to realize
Li Yang, Yuhui Wang, Yang Xu
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Stream Convolution for Attribute Reduction of Concept Lattices
Mathematics, 2023 Attribute reduction is a crucial research area within concept lattices. However, the existing works are mostly limited to either increment or decrement algorithms, rather than considering both.
Jianfeng Xu +4 more
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Attribute Logic Formula Description of Granule and Its Application to Build Concept Lattice
IEEE Access, 2020 This paper focus on the granule description based on formal concept analysis. First, we introduce the notion of attribute logic formula in a formal context, and then prove a general granule description theorem by using attribute logic formulas.
Xia Wu, Jialu Zhang, Ruhua Lu
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Research on the multi-granularity method of role engineering
Frontiers in Computational Neuroscience, 2022 The role-based access control model (RBAC) is an access control approach oriented to enterprise security policy, which plays a leading role in the field of access control due to its good applicability and flexibility.
Yongmei Jiao +3 more
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IEEE Access, 2021 The mine safety performance evaluation and its law were taken as research objects; the human factor, mechanical equipment, management system, environment and technology were taken as mine safety state indexes; accident loss and disabling incident ...
Jianhong Chen +4 more
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Abstract Concept Lattices [PDF]
, 2011 We present a view of abstraction based on a structure preserving reduction of the Galois connection between a language L of terms and the powerset of a set of instances O. Such a relation is materialized as an extension-intension lattice, namely a concept lattice when L is the powerset of a set P of attributes. We define and characterize an abstraction
Henry Soldano, Véronique Ventos
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