Grade control in a quartz deposit using universal fuzzy kriging

We adapt the universal kriging method of prediction to contexts with uncertainty and imprecise data. Using fuzzy set theory,we develop a fuzzy universal kriging that we use to estimate quality classes for a quartz deposit. The method models the trend in the databy linearly combining functions that d...

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Autores:
Saavedra González, Ángeles
Ordóñez Galán, Celestino
Taboada Castro, Javier
Giráldez Pérez, Eduardo
Sierra Fernández, Carlos
Tipo de recurso:
Article of journal
Fecha de publicación:
2013
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/41843
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/41843
http://bdigital.unal.edu.co/31940/
Palabra clave:
Universal kriging
fuzzy number
quartz quality
3D model
selective mining
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:We adapt the universal kriging method of prediction to contexts with uncertainty and imprecise data. Using fuzzy set theory,we develop a fuzzy universal kriging that we use to estimate quality classes for a quartz deposit. The method models the trend in the databy linearly combining functions that depend on the coordinates for each point, which are fuzzy numbers. The spatial dependence betweenthe data is determined by means of non-fuzzy covariograms. The proposed method provides fuzzy numbers and non-fuzzy variances atunsampled locations. Finally, the estimated fuzzy numbers are translated back into quartz qualities and graphically represented. From thegrade model obtained by using fuzzy kriging it has been possible to perform selective mining at the deposit depending on market demandof the four products exploited.