Adaptive fuzzy interpolation based on ranking values of polygonal fuzzy sets and similarity measures between polygonal fuzzy sets

摘要

After the fuzzy interpolative reasoning processes, if two unequal fuzzy interpolative reasoning results are derived (or one derived and another observed) for a consequence variable of a fuzzy rule, then it is called a contradiction in the fuzzy interpolative reasoning process. In recent years, some adaptive fuzzy interpolation methods for sparse fuzzy rule based systems have been presented to solve contradictions after fuzzy interpolative reasoning processes. In this paper, a new adaptive fuzzy interpolation method is proposed for sparse fuzzy rule-based systems based on ranking values and similarity measures of polygonal fuzzy sets, which can solve contradictions occurred in fuzzy interpolative reasoning processes. We also apply the proposed adaptive fuzzy interpolation method to predict the diarrheal disease rates in roadless villages. The diarrheal disease prediction problem focuses on the issue to measure how the construction of a new road or railway in a previously roadless area may affect the epidemiology of infectious diseases in northern coastal Ecuador. The experimental results show that the proposed adaptive fuzzy interpolation method can overcome the drawbacks of the existing methods. (C) 2016 Elsevier Inc. All rights reserved.