General framework for consistencies in decision contexts

Janostik, Radek; Konečný, Jan

doi:10.1016/j.ins.2020.02.045

Cited by 4 publications

(1 citation statement)

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“…Formal concept analysis (FCA) studies how to extract knowledge from a formal context and has been applied to many areas of data since a formal context is capable to represent any kinds of data. Some research has been conducted to extract knowledge from any data which is formulated in a formal context ( Moulahi, 2021 ; Xu et al, 2019 ; Marín et al, 2021 ; Gély et al, 2022 ; Yan & Li, 2022 ; Zou et al, 2020 ; Janostik & Konecny, 2020 ; Atencia et al, 2020 ; Kötters & Eklund, 2020 ; Rocco, Hernandez-Perdomo & Mun, 2020 ; Kumar Mishra, Joshi & Mathur, 2020 ; Albahli & Melton, 2016 ). Therefore, formal concept analysis has been considered to be a method in knowledge discovery ( Kumar, 2011 ).…”

Section: Introductionmentioning

confidence: 99%

Non-redundant implicational base of formal context with constraints using SAT

Hidayat,

Ahmad,

Ngo

2024

PeerJ Computer Science

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An implicational base is knowledge extracted from a formal context. The implicational base of a formal context consists of attribute implications which are sound, complete, and non-redundant regarding to the formal context. Non-redundant means that each attribute implication in the implication base cannot be inferred from the others. However, sometimes some attribute implications in the implication base can be inferred from the others together with a prior knowledge. Regarding knowledge discovery, such attribute implications should be not considered as new knowledge and ignored from the implicational base. In other words, such attribute implications are redundant based on prior knowledge. One sort of prior knowledge is a set of constraints that restricts some attributes in data. In formal context, constraints restrict some attributes of objects in the formal context. This article proposes a method to generate non-redundant implication base of a formal context with some constraints which restricting the formal context. In this case, non-redundant implicational base means that the implicational base does not contain all attribute implications which can be inferred from the others together with information of the constraints. This article also proposes a formulation to check the redundant attribute implications and encoding the problem into satisfiability (SAT) problem such that the problem can be solved by SAT Solver, a software which can solve a SAT problem. After implementation, an experiment shows that the proposed method is able to check the redundant attribute implication and generates a non-redundant implicational base of formal context with constraints.

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