33 citations · 82 across the 13 of their papers we have counts for
13 papers
An overview of generalized entropic forms
V. Ilić, J. Korbel, S. Gupta +1
The aim of this focus letter is to present a comprehensive classification of the main entropic forms introduced in the last fifty years in the framework of statistical physics and…
On the equivalence between four versions of thermostatistics based on strongly pseudo-additive entropies
Velimir M. Ilic, Antonio Maria Scarfone, Tatsuaki Wada
The class of SPA entropies, which can be represented as an increasing continuous transformation of Shannon and Rényi entropies, have intensively been studied in previous decades. A…
An axiomatic characterization of generalized entropies under analyticity condition
Velimir M. Ilic, Miomir S. Stankovic
We present the characterization of the Nath, Rényi and Havrda-Charvát-Tsallis entropies under the assumption that they are analytic function with respect to the distribution dimens…
Generalized Shannon-Khinchin Axioms and Uniqueness Theorem for Pseudo-additive Entropies
Velimir M. Ilic, Miomir S. Stankovic
We consider the Shannon-Khinchin axiomatic systems for the characterization of generalized entropies such as Sharma-Mital and Frank-Daffertshofer entropy. We provide the generaliza…
A unified characterization of generalized information and certainty measures
Velimir M. Ilic, Miomir S. Stankovic
In this paper we consider the axiomatic characterization of information and certainty measures in a unified way. We present the general axiomatic system which captures the common p…
Comments on "A two-parameter generalization of Shannon-Khinchin Axioms and the uniqueness theorem"
Velimir M. Ilic, Edin H. Mulalic, Miomir S. Stankovic
Wada and Suyari proposed a two-parameter generalization of Shannon-Khinchin axioms (TGSK axioms) [T. Wada and H. Suyari, Physics Letters A, 368(3)]. We derive a new class of entrop…