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

Hidayat, Taufiq and Ngo, Hea Choon and Ahmad, Asmala (2024) Non-redundant implicational base of formal context with constraints using SAT. PeerJ Computer Science, 10. 01-37. ISSN 2376-5992

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Abstract

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. Nonredundant 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 nonredundant implicational base of formal context with constraints.

Item Type:	Article
Uncontrolled Keywords:	Attribute implication, Formal concept analysis, Formal context, Implicational base, SAT problem
Divisions:	Faculty of Information and Communication Technology
Depositing User:	Sabariah Ismail
Date Deposited:	24 Jul 2024 12:15
Last Modified:	24 Jul 2024 12:15
URI:	http://eprints.utem.edu.my/id/eprint/27587
Statistic Details:	View Download Statistic

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