A New Generalized Entropy Measure and its Properties

Fractional Probability Measure and Its Properties

Based on recent studies by Guy Jumarie [1] which defines probability density of fractional order and fractional moments by using fractional calculus (fractional derivatives and fractional integration), this study expands the concept of probability density of fractional order by defining the fractional probability measure, which leads to a fractional probability theory parallel to the classical ...

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...

A new measure of entropy and its connection with a similarity measure for intuitionistic fuzzy sets

We propose a new measure of entropy for intuitionistic fuzzy sets. This paper is in a sense a continuation of our previous paper on entropy of intuitionistic fuzzy sets — the inferences are based on the same two types of distances as previously — to the farer and to the nearer crisp elements. But now we propose the formulas easier to calculate. Next, we show that the same result can be obtained...

Generalized Lambda Distribution and its Properties

‎Generalized Lambda Distribution is an extension of Tukey's lambda distribution‎, ‎that is very flexible in modeling information and statistical data‎. ‎In this paper‎, ‎We introduced two parameterization of this distribution‎. ‎Then We estimate parameters by moment matching‎, ‎percentile‎, ‎starship and maximum likelihood methods and compare two parameterization and parameter estimation method...

Some properties of a new fuzzy distance measure