New Fuzzy Entropy Measure of Order α

Order Statistics Based Measure of Past Entropy

Here H(X) measures the average uncertainty associated with the random variable X. If X is the lifetime of a system and if the system has survived up to time t, then to measure the uncertainty about the remaining lifetime of such a system the measure (1) is not appropriate. Ebrahimi (1996) proposed a measure which measures the uncertainty about the remaining lifetime of a system if it is working...

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...

Relations among similarity measure, subsethood measure and fuzzy entropy

In this paper we study the relations among similarity measure, subsethood measure and fuzzy entropy and present several propositions that similarity measure, subsethood measure and fuzzy entropy can be transformed by each other based on their axiomatic definitions. Some new formulae to calculate similarity measure, subsethood measure and fuzzy entropy are proposed.

Some properties of a new fuzzy distance measure

Higher order fuzzy entropy and hybrid entropy of a set

New entropy measures such as higher order fuzzy entropy and hybrid e:ntropy of a set have been introduced. Various properties along with their proofs have: been included. Applicability of these new measures to various problems has been highlighted.