One method for building classification trees is to choose split variables by maximising expected entropy. This can be extended through the application of imprecise probability by replacing instances of expected entropy with the maximum possible expected entropy over credal sets of probability distributions. Such methods may not take full advantage of the opportunities offered by imprecise proba...

The selection of an appropriate wavelet is an essential issue that should be addressed in the wavelet-based filtering of electrocardiogram (ECG) signals. Since entropy can measure the features of uncertainty associated with the ECG signal, a novel comprehensive entropy criterion Ecom based on multiple criteria related to entropy and energy is proposed in this paper to search for an optimal base...

Entropy-based image thresholding has received considerable interest in recent years. Two types of entropy are generally used as thresholding criteria: Shannon’s entropy and relative entropy, also known as Kullback–Leibler information distance, where the former measures uncertainty in an information source with an optimal threshold obtained by maximising Shannon’s entropy, whereas the latter mea...

The error-entropy-minimization approach in adaptive system training is addressed in this paper. The effect of Parzen windowing on the location of the global minimum of entropy has been investigated. An analytical proof that shows the global minimum of the entropy is a local minimum, possibly the global minimum, of the nonparametrically estimated entropy using Parzen windowing with Gaussian kern...

The complexity of a signal defines the compressibility of its coefficients under appropriate basis. This relation complexity-compressibility suggests a connection between the functions used to measure both of the signal’s properties. A measure of entropy quantifies the degree of complexity of a signal. In a analogous way, a measure of (non-strict) sparsity quantifies the degree of compressibili...

Material selection is a main purpose in design process and plays an important role in desired performance of the products for diverse engineering applications. In order to solve material selection problem, multi criteria decision making (MCDM) methods can be used as an applicable tool. Bumper beam is one of the most important components of bumper system in absorbing energy. Therefore, selecting...

We propose entropy functions based on fractional calculus. We show that this new entropy has the same properties than the Shannon entropy except that of additivity, therefore making this entropy non-extensive. We show that this entropy function satisfies the Lesche and thermodynamic stability criteria.

Anew entropymeasure of interval-valued intuitionistic fuzzy set (IVIFS) is proposed by using cotangent function, which overcomes several limitations in the existing methods for calculating entropy of IVIFS. The efficiency of the new entropy is demonstrated by comparing it with several classical entropies.Moreover, an entropy weightmodel is established to determine the entropy weights for fuzzy ...