Authors: Ilić, Velimir 
Stanković, Miomir 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: A unified characterization of generalized information and certainty measures
Journal: Physica A: Statistical Mechanics and its Applications
Volume: 415
First page: 229
Last page: 239
Issue Date: 1-Dec-2014
Rank: M22
ISSN: 0378-4371
DOI: 10.1016/j.physa.2014.07.061
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 properties of a large number of the measures previously considered by numerous authors. We provide the corresponding characterization theorems and define a new generalized measure called the Inforcer, which is the quasi-linear mean of the function associated with the event probability following the general composition law. In particular, we pay attention to the polynomial composition and the corresponding polynomially composable Inforcer measure. The most common measures appearing in literature can be obtained by specific choice of parameters appearing in our generic measure and they are listed in tables.
Keywords: Axiomatic characterization | Certainty | Entropy | Inaccuracy | Information measure | Pseudo-addition
Publisher: Elsevier
Project: Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education 
NSF, Grant CCF-0963726

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