Results 241 to 250 of about 5,488,017 (310)

Congruence Lattices of Finite Lattices as Concept Lattices

1990
In formal concept analysis it is of increasing interest to compute and to represent congruence lattices of finite lattices (for instance, to assist adequate drawings of concept lattices). In this note we give a representation of such congruence lattices as concept lattices which allows the use of developed computer programs to determine and to draw ...
Sigrid Knecht, Rudolf Wille
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Multi-scaled concept lattices

2008 IEEE International Conference on Granular Computing, 2008
This paper proposes a method to reduce the number of concepts still conserving their formal structure. Our main idea is first to gather objects into classes such that the members of the same class share some set of properties, and then define a kind of Galois connection via a concept of inclusion degree in order to cope, to a certain degree (denoted as
Ju-Sheng Mi, Jing Liu, Bin Xie
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Subdirect decomposition of concept lattices

Algebra Universalis, 1983
This paper is a continuation of a previous paper of the author where the basic theorem for ''concept lattices'' has been given [Ordered sets, Proc. NATO Adv. Study Inst., Banff/Can. 1981, 445-470 (1982; Zbl 0491.06008)]. A concept lattice can be regarded as a complete meet-sublattice of the power set lattice of ''objects'' determined by the Galois ...
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Logical Precision in Concept Lattices

Journal of Logic and Computation, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Composition of concept lattices

2008 International Conference on Machine Learning and Cybernetics, 2008
The theory of concept lattices is an efficient tool for knowledge discovery. The purpose of this paper is to discuss the composed lattice of two concept lattices with the same object set. We first define a pair of Galois connection between two posets obtained from two formal contexts, and discuss the properties of the Galois connection. Then, we define
null Jian-Jun Qi, null Ling Wei, null Yun-Bo Bai   +2 more
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Incremental construction of three-way concept lattice for knowledge discovery in social networks

Information Sciences, 2021
Fei Hao, Yixuan Yang, Geyong Min, V. Loia   +3 more
semanticscholar   +1 more source

Covering Concept Lattices with Concept Chains

2019
The total number of concepts in a concept lattice tends to grow exponentially with the size of a context. There are numerous methods for selecting a subset of concepts based on some interestingness measure. We propose a method for finding interesting concept chains instead of interesting concepts.
Ants Torim, Marko Mets, Kristo Raun
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Linguistic-valued layered concept lattice and its rule extraction

International Journal of Machine Learning and Cybernetics, 2021
L. Zou, Ning Kang, Lu Che, Xin Liu
semanticscholar   +1 more source

Characteristics of three-way concept lattices and three-way rough concept lattices

Knowledge-Based Systems, 2018
Abstract In classical formal concept (Wille’s concept) analysis, a basic theorem about concept lattices is that every concept lattice is a complete lattice and conversely, every complete lattice is isomorphic to a concept lattice. Three-way concept analysis is an extended theory of formal concept analysis.
Huiying Yu, Qingguo Li, Mingjie Cai
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Fuzzy concept lattice reduction using Shannon entropy and Huffman coding

J. Appl. Non Class. Logics, 2015
In the last decade, formal concept analysis (FCA) in a fuzzy setting has received more attention for knowledge processing tasks in various fields. The hierarchical order visualisation of generated formal concepts is a major concern for the practical ...
Prem Kumar Singh, A. Gani
semanticscholar   +1 more source