Possibilistic information theory: A coding theoretic approach
type: Item
instance of: scholarly article
title: Possibilistic information theory: A coding theoretic approach
zbMATH Open document ID: 1021.94003
DOI: 10.1016/S0165-0114(01)00245-7
author: Andrea Sgarro
published in: Fuzzy Sets and Systems
publication date: 2003-04-02T00:00:00Z
review text: This paper offers an alternative approach to information theory with a stress on the coding and information transmission via a channel with uncertainty. In this approach, the uncertainty of the information source and transmission channel is represented rather by possibilistic than probabilistic means. The concepts of possibilistic information measure, possibilistic entropy of a source and possibilistic capacity of a channel are defined and investigated. It can be seen that the possibilistic entropy decreases and the possibilistic capacity increases with the increase of the allowed possibility of error. The general model is interpreted regarding the possibilistic coding and the corresponding distortion measures. One of its applications is discussed.
reviewed by: Milan Mareš
Mathematics Subject Classification ID: 94A15
Mathematics Subject Classification ID: 28E10
Mathematics Subject Classification ID: 62B10
Mathematics Subject Classification ID: 94A17
Mathematics Subject Classification ID: 94A29
zbMATH DE Number: 1891662
zbMATH Keywords: information
zbMATH Keywords: measures of information
zbMATH Keywords: possibility theory
zbMATH Keywords: possibilistic sources
zbMATH Keywords: possibilistic entropy
zbMATH Keywords: possibilistic channels
zbMATH Keywords: possibilistic capacity
zbMATH Keywords: zero-error information theory
zbMATH Keywords: graph capacity
zbMATH Keywords: distortion measures
zbMATH Keywords: uncertain channels
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1891662