A pragmatic uncertainty measure based on rate-distorion theory and the uncertainty of BOE's

We discuss pragmatic information measures (hypergraph entropy and fractional entropy) inspired by source-coding theory (rate-distortion theory). We re-phrase the problem in the language of evidence theory, by expressing the pragmatic requirements of the human agent in terms of suitable bodies of evi...

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Detalles Bibliográficos
Autores: Fioretto, Anna, Sgarro, Andrea
Tipo de recurso: artículo
Fecha de publicación:1996
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099/2629
Acceso en línea:https://hdl.handle.net/2099/2629
Access Level:acceso abierto
Palabra clave:Information measures
Uncertaninty management
Evidence theory
Hypergraph entropy
Fractional entropy
Informació -- Mesurament -- Models matemàtics
Entropia (Teoria de la informació)
Classificació AMS::94 Information And Communication, Circuits::94A Communication, information
Descripción
Sumario:We discuss pragmatic information measures (hypergraph entropy and fractional entropy) inspired by source-coding theory (rate-distortion theory). We re-phrase the problem in the language of evidence theory, by expressing the pragmatic requirements of the human agent in terms of suitable bodies of evidence, or BOE's. We tackle the situation when the overall uncertainty is removed in two steps. In the case when fractional entropy measures the first-step (partial, pragmatic) uncertainty, we put forward an information measure for the uncertainty left in the second step. The results found plead in favour of uncertainty measures for BOE's obtained by maximization of Shannon entropies.