MAXIMIZABLE INFORMATIONAL ENTROPY AS A MEASURE OF PROBABILISTIC UNCERTAINTY

Maximizable informational entropy as measure of probabilistic uncertainty

In this work, we consider a recently proposed entropy I (called varentropy) defined by a variational relationship ) ( dx x d dI − = β as a measure of uncertainty of random variable x. By definition, varentropy underlies a generalized virtual work principle 0 = dx leading to maximum entropy 0 ) ( = − x I d β . This paper presents an analytical investigation of this maximizable entropy for severa...

Entropy as a Measure of Uncertainty in Software Reliability

Deng entropy: a generalized Shannon entropy to measure uncertainty

Shannnon entropy is an efficient tool to measure uncertain information. However, it cannot handle the more uncertain situation when the uncertainty is represented by basic probability assignment (BPA), instead of probability distribution, under the framework of Dempster Shafer evidence theory. To address this issue, a new entropy, named as Deng entropy, is proposed. The proposed Deng entropy is...

Informational Non-Differentiable Entropy and Uncertainty Relations in Complex Systems

Considering that the movements of complex system entities take place on continuous, but non-differentiable, curves, concepts, like non-differentiable entropy, informational non-differentiable entropy and informational non-differentiable energy, are introduced. First of all, the dynamics equations of the complex system entities (Schrödinger-type or fractal hydrodynamic-type) are obtained. The la...

Reaction times as a measure of uncertainty.

In this article, a method is presented to analyse relationships between detection or discrimination frequencies and reaction times in psychophysical tasks. It is shown in three empirical data sets that reaction time decreases as a linear function of the absolute value of the logit transforms of the response probabilities. Such a function stresses the characteristic uncertainty associated with s...