3 research outputs found

    Approximate Reasoning in Hydrogeological Modeling

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    The accurate determination of hydraulic conductivity is an important element of successful groundwater flow and transport modeling. However, the exhaustive measurement of this hydrogeological parameter is quite costly and, as a result, unrealistic. Alternatively, relationships between hydraulic conductivity and other hydrogeological variables less costly to measure have been used to estimate this crucial variable whenever needed. Until this point, however, the majority of these relationships have been assumed to be crisp and precise, contrary to what intuition dictates. The research presented herein addresses the imprecision inherent in hydraulic conductivity estimation, framing this process in a fuzzy logic framework. Because traditional hydrogeological practices are not suited to handle fuzzy data, various approaches to incorporating fuzzy data at different steps in the groundwater modeling process have been previously developed. Such approaches have been both redundant and contrary at times, including multiple approaches proposed for both fuzzy kriging and groundwater modeling. This research proposes a consistent rubric for the handling of fuzzy data throughout the entire groundwater modeling process. This entails the estimation of fuzzy data from alternative hydrogeological parameters, the sampling of realizations from fuzzy hydraulic conductivity data, including, most importantly, the appropriate aggregation of expert-provided fuzzy hydraulic conductivity estimates with traditionally-derived hydraulic conductivity measurements, and utilization of this information in the numerical simulation of groundwater flow and transport

    Focusing On Interpretability And Accuracy Of A Genetic Fuzzy System

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    This research work presents a new approach for fuzzy system building taking into account the accuracy and interpretability of the system. One difficulty in the handling of high-dimensional problems by fuzzy rule-based systems is the exponential increase in the number of rules and in the number of conditions in the antecedent part of the rule. Thus, as first step of the proposed approach we apply a feature selection process in order to exclude irrelevant variables. Besides that, dimensionality reduction generally promotes the accuracy and comprehensibility of the system. After that, a genetic algorithm is used for deriving short and comprehensible fuzzy rules. Finally another genetic algorithm is used for optimizing the rule base obtained in the last step, excluding unnecessary and redundant rules. The fitness function of the algorithms consider both accuracy and interpretability of the fuzzy model and the use of "don't care" condition allows to generate more comprehensible with high generalization capacity. The application domain is multidimensional fuzzy pattern classification. By computational simulation in some well-know datasets, we can see that the proposed approach is able to generate compact fuzzy rule bases with high classification ability. 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