In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

conclusions the study results showed that by increasing the initial dye concentration and contact time, the adsorption capacity increased, as well. moreover, the thermodynamic parameters (δh °, δg °, and δs °) revealed the endothermic sorption of rr-198 onto mwcnts. results the rr-198 absorption rates were 33.26 and 222.88 mg/g, respectively for 20, and 200 mg/l dye concentration, at ph of 3, 6...

In this paper, we have considered an intuitionistic fuzzy entropy with both the uncertainty and hesitancy degree of IF sets. Based on this IF entropy, a new decision-making method of a multi-attribute decision making problem (MADM) has been introduced in which attribute values are expressed with IF values. In the case of attribute weight, a case with partially known attribute weights is discuss...

We introduce the entropy rate of multidimensional cellular automata. This number is invariant under shift–commuting isomorphisms; as opposed to the entropy of such CA, it is always finite. The invariance property and the finiteness of the entropy rate result from basic results about the entropy of partitions of multidimensional cellular automata. We prove several results that show that entropy ...

A single-valued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing single-valued neutrosophic cross entropy bears an asymmetrical behavior and produces an undefined phenomenon in some situations. In order to deal with these disadvantages, we propose a new cross entropy measure under a single-valued neutro...

Maximum entropy models have become popular statistical models in neuroscience and other areas in biology and can be useful tools for obtaining estimates of mutual information in biological systems. However, maximum entropy models fit to small data sets can be subject to sampling bias; i.e., the true entropy of the data can be severely underestimated. Here, we study the sampling properties of es...

In this paper, we investigate the performance of the fuzzy entropy approach when it is applied to the segmentation of infrared objects. Through a number of examples, the performance is compared with those using existing entropy-based object segmentation approaches and the superiority of the fuzzy entropy method is demonstrated. In addition, the ant colony optimization (ACO) is used to obtain th...

reaction mechanism among indoline-2,3-dione, pyrrolidine-2-carboxylic acid and (z)-2-(1-(2-hydroxynaphthalen-1-yl)ethylidene)hydroxycarboxamide to form 1’-((((aminooxy)carbonyl)amino)methyl)-2’-(1-hydroxynaphthalen-2-yl)-2’-methyl-1’,2’,5’,6’,7’,7a’-hexahydrospiro[indoline-3,3’-pyrrolo[1,2-a]imidazole-2-one was investigated using density functional theory (dft) at b3lyp basis theory. the three-...