On weights of 2-repeated bursts

It is generally seen that the behavior of the bursts depend upon the nature of the channel. In a very busy communication channel bursts repeat themselves. In this communication we are exploring the idea of weight consideration of 2-repeated bursts of length b(fixed). Some results on weights of 2-repeated bursts of length b(fixed) are derived and some combinatorial results with weight constraint for 2-repeated bursts of length b(fixed) are also given

On measures of “useful” information

The quantitative-qualitative measure of information as given by Belis and Guiaşu is additive, the additivity being a modification of the additivity of Shannon's measure with due place for utilities of the scheme in this property. A characterization of Belis and Guiaşu's measure depending upon the additivity postulate has been provided. The additivity can be relaxed, and there can be several ways of choosing a nonadditive law in place of additivity. Starting from a particular type of nonadditivity relation we characterize a measure of nonadditive “useful” information, which may be considered as a quantitative-qualitative measure corresponding to the Havrda-Charvat-Vajda-Daróczy entropy of degree β

Exponential entropy on intuitionistic fuzzy sets

summary:In the present paper, based on the concept of fuzzy entropy, an exponential intuitionistic fuzzy entropy measure is proposed in the setting of Atanassov's intuitionistic fuzzy set theory. This measure is a generalized version of exponential fuzzy entropy proposed by Pal and Pal. A connection between exponential fuzzy entropy and exponential intuitionistic fuzzy entropy is also established. Some interesting properties of this measure are analyzed. Finally, a numerical example is given to show that the proposed entropy measure for Atanassov's intuitionistic fuzzy set is consistent by comparing it with other existing entropies