One consequence of the increasing amount of data stored during acquisition processes is that sampled time series are more prone to be collected in a misaligned uneven fashion and/or be partly lost or unavailable (missing data). Due to their severe impact on data mining techniques, this work proposes methods to (a) align misaligned unevenly sampled data, (b) differentiate absent values related to low sampling frequencies, compared to those resulting from missingness mechanisms, and (c) to classify recoverable and non-recoverable segments of missing data by using statistical and fuzzy modeling approaches. These methods were evaluated against randomly simulated test datasets containing different amounts of missing data. Results show that: (1) using the variable most frequently sampled as a template, combined with cubic interpolation, allowed to unshift misaligned uneven data without significant errors; (2) the differentiation of absent values due to low sampling frequencies from those truly missing, can be successfully performed using 95% confidence intervals relative to the mean sampling time; (3) fuzzy modeling returned better classification results for recoverable segments, while the statistical approach performed better in classifying non-recoverable segments. All three methods proposed in this work decreased their performance when the amount of missing data was increased in the test datasets.

Fuzzy predictive control integrates conventional model-based predictive control with techniques from fuzzy multicriteria decision making. The information regarding the fuzzy criteria of the control problem is combined by using a decision function from the fuzzy set-theory. The use of fuzzy criteria in the cost function leads usually to a non-convex optimization problem, which is numerically complex. The numeric optimization problem becomes more tractable by discretizing the control actions, limiting the search of the optimal solution to this space. This paper extends the application of the branch-and-bound optimization technique to predictive control problems with fuzzy cost functions. This approach can reduce significantly the search time, allowing the application of fuzzy predictive control to a broader class of systems, and to real-time control problems. Simulation and real-time results of temperature control in a fan-coil unit show the applicability of the approach. © 2000 John Wiley & Sons, Inc.