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Contribution to application of energy measure of fuzzy sets
Authors:Ernest Czogała  Siegfried Gottwald  Witold Pedrycz
Affiliation:Department of Automatic Control and Information Science, Silesian Technical University, 44-100 Gliwice, Poland;Department of Mathematics, University of Leipzig, German Democratic Republic;Department of Automatic Control and Information Science, Silesian Technical University, 44-100 Gliwice, Poland
Abstract:
The works of De Luca & Termini continued by, for example, Knopfmacher, Loo and Gottwald, are the most important on the topic of determination of measures of fuzzy sets. The matter is to evaluate how fuzzy a fuzzy set is. There are two general concepts of measures of fuzzy set, i.e. entropy and energy measures.We show that the special kind of energy measure is better suited than the entropy kind of measure in many practical situations.Applications of the use of energy measure discussed in detail include decision making, fuzzy process control and prediction in fuzzy systems.
Keywords:Entropy measure of a fuzzy set  Energy measure of a fuzzy set  Fuzzy controller  Decision making  Prediction
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