Reducing fuzzy relation equations via concept lattices
Artificial Intelligence
2024-10-10 v1
Abstract
This paper has taken into advantage the relationship between Fuzzy Relation Equations (FRE) and Concept Lattices in order to introduce a procedure to reduce a FRE, without losing information. Specifically, attribute reduction theory in property-oriented and object-oriented concept lattices has been considered in order to present a mechanism for detecting redundant equations. As a first consequence, the computation of the whole solution set of a solvable FRE is reduced. Moreover, we will also introduce a novel method for computing approximate solutions of unsolvable FRE related to a (real) dataset with uncertainty/imprecision data.
Keywords
Cite
@article{arxiv.2410.05728,
title = {Reducing fuzzy relation equations via concept lattices},
author = {David Lobo and Víctor López-Marchante and Jesús Medina},
journal= {arXiv preprint arXiv:2410.05728},
year = {2024}
}