RT Journal Article
T1 Simplifying Implications with Positive and Negative Attributes: A Logic-Based Approach
A1 Pérez-Gámez, Francisco
A1 Ojeda-Aciego, Manuel
A1 López-Rodríguez, Domingo
A1 Cordero-Ortega, Pablo
A1 Mora-Bonilla, Ángel
K1 Conceptos
AB Concepts and implications are two facets of the knowledge contained within a binary relation between objects and attributes. Simplification logic (SL) has proved to be valuable for the study of attribute implications in a concept lattice, a topic of interest in the more general framework of formal concept analysis (FCA). Specifically, SL has become the kernel of automated methods to remove redundancy or obtain different types of bases of implications. Although originally FCA used only the positive information contained in the dataset, negative information (explicitly stating that an attribute does not hold) has been proposed by several authors, but without an adequate set of equivalence-preserving rules for simplification. In this work, we propose a mixed simplification logic and a method to automatically remove redundancy in implications, which will serve as a foundational standpoint for the automated reasoning methods for this extended framework.
PB MDPI
YR 2022
FD 2022-02-16
LK https://hdl.handle.net/10630/40167
UL https://hdl.handle.net/10630/40167
LA eng
NO F. Pérez-Gámez, D. López-Rodríguez, P. Cordero, Á. Mora, and M. Ojeda-Aciego. Simplifying implications with positive and negative attributes: a logic-based approach. Mathematics, 10(4), 2022
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026