The Effect of α on The Behavior of Entropy Functions

Abstract

Entropy is a measure used to measure uncertainty and disorder. The entropy measure contributes to the solution of many problems. There are different definitions of entropy used. The α value used in different ways offers new perspectives, new solutions and methods. Being able to choose the appropriate α value brings it closer to the solution. In this study, the effect of α value, which is used in some entropy definitions, on entropy criteria was examined. It was tried to understand in which direction it behaved and its effect on the criterion. With different variations and different α values, it was shown in which direction the entropy values took. It has been determined how it behaves through the xlogx and logx functions. Entropic behaviors were shown with graphs.