@article {SANCHEZ2014269,
	title = {A design methodology for semi-physical fuzzy models applied to the dynamic characterization of LiFePO4 batteries},
	journal = {Applied Soft Computing},
	volume = {14},
	year = {2014},
	note = {Evolving Soft Computing Techniques and Applications},
	pages = {269 - 288},
	abstract = {A methodology for designing semi-physical fuzzy models is proposed. Prior physical knowledge about the dynamics of the system is modeled with continuous time differential equations. Fuzzy knowledge bases are embedded in these equations as nonlinear constructive blocks. Rules comprising the knowledge bases are fitted to interval-valued data with metaheuristics. A possibilistic filter is proposed that is able to gradually evolve an initial estimation of the latent variables of the model on the basis of successive prediction errors. This methodology has been applied to the prediction of voltage and state of charge of LiFePO4 batteries. An empirical study has been carried over data gathered in experiments at the Battery Laboratory at Oviedo University. Fitting between the proposed model and actual measurements is studied for four different manufacturers and different charge{\textendash}discharge patterns. Predictions of the evolution of the voltage during charge, discharge and inactivity compare favorably to different models in the literature. The possibilistic filter allows to estimate the state of charge of batteries after an arbitrary path that may include partial charges and discharges. It is shown that the accuracy of the open loop model improves that of other approaches in the literature, and at the same time the observer-based online model is able to approximate the effective remnant charge of the battery after a reasonably short time.},
	keywords = {fuzzy models, Imprecise data, LiFePO batteries, Online identification, Semi-physical modeling},
	issn = {1568-4946},
	doi = {https://doi.org/10.1016/j.asoc.2013.03.020},
	url = {http://www.sciencedirect.com/science/article/pii/S156849461300135X},
	author = {Luciano S{\'a}nchez and In{\'e}s Couso and Manuela Gonz{\'a}lez}
}
@article {SANCHEZ2002175,
	title = {Some relationships between fuzzy and random set-based classifiers and models},
	journal = {International Journal of Approximate Reasoning},
	volume = {29},
	number = {2},
	year = {2002},
	pages = {175 - 213},
	abstract = {When designing rule-based models and classifiers, some precision is sacrificed to obtain linguistic interpretability. Understandable models are not expected to outperform black boxes, but usually fuzzy learning algorithms are statistically validated by contrasting them with black-box models. Unless performance of both approaches is equivalent, it is difficult to judge whether the fuzzy one is doing its best, because the precision gap between the best understandable model and the best black-box model is not known. In this paper we discuss how to generate probabilistic rule-based models and classifiers with the same structure as fuzzy rule-based ones. Fuzzy models, in which features are partitioned into linguistic terms, will be compared to probabilistic rule-based models with the same number of terms in every linguistic partition. We propose to use these probabilistic models to estimate a lower precision limit which fuzzy rule learning algorithms should surpass.},
	keywords = {Fuzzy classifiers, fuzzy models, Random set-based classifiers, Random set-based models},
	issn = {0888-613X},
	doi = {https://doi.org/10.1016/S0888-613X(01)00063-9},
	url = {http://www.sciencedirect.com/science/article/pii/S0888613X01000639},
	author = {Luciano S{\'a}nchez and Jorge Casillas and O. Cord{\'o}n and M. J. del Jesus}
}
