Reducing fuzzy relation equations via concept lattices
<|reference_start|>Reducing fuzzy relation equations via concept lattices: 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.<|reference_end|>
@article{lobo2024reducing,
    title={Reducing fuzzy relation equations via concept lattices},
    author={David Lobo, V'ictor L'opez-Marchante, Jes'us Medina},
    journal={Fuzzy Sets and Systems 463 (2023) 108465},
    year={2024},
    doi={10.1016/j.fss.2022.12.021},
    archivePrefix={arXiv},
    eprint={2410.05728},
    primaryClass={cs.AI}
}