Concept lattices with negative information: A characterization theorem

Rodríguez‐Jiménez, Jose Manuel; Enciso, Manuel; Rudolph, Sebastian

doi:10.1016/j.ins.2016.06.015

Cited by 31 publications

(7 citation statements)

References 17 publications

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“…To overcome this problem, Rodriguez-Jimenez et al [18][19][20] developed mixed concept lattice with mixing the positive and negation. In the first place, we emphasize an extended notation of negative attribute [18][19][20]. (10)…”

Section: Negative Attributesmentioning

confidence: 99%

“…Recently, instead of using the large context, Rodriguez et al [18] formulated a novel approach to gain mixed implications from a formal context. Furthermore, they [19] studied in depth mixed concept lattices (MCA) and obtained a characterization theorem. To devote to breast cancer, data mining algorithms to compute mixed concepts were developed [20].…”

Section: Introductionmentioning

confidence: 99%

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Rule reductions of decision formal context based on mixed information

Lin

2022

Appl Intell

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Three-way concept lattice extracts knowledge from positive and negative information separately. However, some applications require to mix positive and negative information for management and representation explicitly. In this paper, rule acquisition of FCA is extended based on mixed information. Firstly, two types of mixed concept lattices are studied. Then the relationships between mixed concept and classical concept, three-way concept are explored in depth. Secondly, mixed decision rules are investigated thoroughly. And the weak-basis is put forward to approximate to the basis of mixed decision rules. Finally, the comparison of mixed decision rules and three-way decision rules is perfectly discussed.

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Section: Negative Attributesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Rule reductions of decision formal context based on mixed information

Lin

2022

Appl Intell

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“…A more detailed explanation about the theory related to the use of negative attributes in FCA can be seen in References 22 and 23.…”

Section: Fca With Negative Attributesmentioning

confidence: 99%

Formal concept analysis with negative attributes for forgery detection

Ojeda‐Aciego

Rodríguez‐Jiménez

2020

Comp and Math Methods

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Europe's system of open frontiers, commonly known as "Schengen," let people from different countries travel and cross the inner frontiers without problems. Different documents from these countries, not only European, can be found in road checkpoints and there is no international database to help Police forces to detect whether they are false or not. People who need a driver license to access to specific jobs, or a new identity because of legal problems, often contact forgers who provide false documents with different levels of authenticity. Governments and Police Forces should improve their methodologies, by ensuring that staff is increasingly better able to detect false or falsified documents through their examination, and follow patterns to detect and situate these forgers. In this work, we propose a method, based in formal concept analysis using negative attributes, which allows Police forces analyzing false documents and provides a guide to enforce the detection of forgers.

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“…A concept lattice is a mapping of the formal context, or intersections of objects and attributes. The concept lattice allows easy identification of sets of objects with common attributes as well as the order of specialisation of objects with respect to their attributes [73].…”

Section: Ra: Intrinsic Knowledgementioning

confidence: 99%

Realistic Synthetic Data Generation: The ATEN Framework

McLachlan

Dube

Gallagher

et al. 2019

Biomedical Engineering Systems and Technologies

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In secondary uses of data, access to real data is problematic due to data being non-existent, incomplete, or avoiding privacy and confidentiality breaches. Synthetic data (SD) are best replacements for real data but must be verifiably realistic. There is little or no investigation into systematically achieving realism in SD. This work investigates this problem, and contributes the ATEN framework, which incorporates three component approaches: (1) THOTH for synthetic data generation (SDG); (2) RA for characterising realism is SD, and (3) HORUS for validating realism in SD. The framework is found promising after its use in generating the realistic synthetic EHR (RS-EHR) for labour and birth. This framework is significant in guaranteeing realism in SDG projects. Future efforts focus on further validation of ATEN in a controlled multi-stream SDG process.

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Concept lattices with negative information: A characterization theorem

Cited by 31 publications

References 17 publications

Rule reductions of decision formal context based on mixed information

Rule reductions of decision formal context based on mixed information

Formal concept analysis with negative attributes for forgery detection

Realistic Synthetic Data Generation: The ATEN Framework

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