In this paper, the two parameter ADK entropy, as a generalized of Re'nyi entropy, is considered and some properties of it, are investigated. We will see that the ADK entropy for continuous random variables is invariant under a location and is not invariant under a scale transformation of the random variable. Furthermore, the joint ADK entropy, conditional ADK entropy, and chain rule of this ent...

Author(s): Makrythanasis, Periklis, Kato, Mitsuhiro, Zaki, Maha S, Saitsu, Hirotomo, Nakamura, Kazuyuki, Santoni, Federico A, Miyatake, Satoko, Nakashima, Mitsuko, Issa, Mahmoud Y, Guipponi, Michel, Letourneau, Audrey, Logan, Clare V, Roberts, Nicola, Parry, David A, Johnson, Colin A, Matsumoto, Naomichi, Hamamy, Hanan, Sheridan, Eamonn, Kinoshita, Taroh, Antonarakis, Stylianos E, Murakami, Yos...

The purpose of this study is to define the concepts of Tsallis entropy and conditional Tsallis entropy of fuzzy partitions and to obtain some results concerning this kind entropy. We show that the Tsallis entropy of fuzzy partitions has the subadditivity and concavity properties. We study this information measure under the refinement and zero mode subset relations. We check the chain rules for ...

Ruby Yun-Ju Huang, Parry Guilford and Jean Paul Thiery* Department of Obstetrics and Gynaecology, National University Hospital, 119074, Singapore Cancer Science Institute of Singapore, National University of Singapore, 119074, Singapore Cancer Genetics Laboratory, University of Otago, Dunedin 9016, New Zealand Department of Biochemistry, National University of Singapore, 8 Medical Drive, Singap...

the second law of thermodynamic (entropy principle) is of special theo-philosophical importance. it seems that this law, which is renowned as “the death of software design” and despite the order in the world, is like an incompatible universal. this article examines the concept of entropy in the three temperature, statistic, and information applications and addresses the contradiction of the sec...