Análisis estadístico con datos difusos en la economía China
Metadatos
Mostrar el registro completo del ítemAutor
Alfonso Pérez, GerardoEditorial
Universidad de Granada
Departamento
Universidad de Granada.Materia
Matemáticas Economía Estadística China
Materia UDC
51 33 519.2 (510) 1209 530204
Fecha
2018Fecha lectura
2017-10-09Referencia bibliográfica
Alfonso Pérez, Gerardo. Análisis estadístico con datos difusos en la economía China. Granada: Universidad de Granada, 2018. [http://hdl.handle.net/10481/51617]
Patrocinador
Tesis Univ. Granada.; Programa Oficial de Doctorado en Estadística Matemática y AplicadaResumen
Different sources of imprecision and uncertainty are encountered in practical
problems and, thus, many elements may need to be imprecisely observed,
defined or treated. In this setting, one of the most successfully applied techniques to describe possible relationships between fuzzy variables is the regression methodology. In this dissertation, we introduce a fuzzy regression procedure involving a class a fuzzy numbers defined by some level sets called finite fuzzy numbers. We give a characterization of the image of a finite fuzzy number in terms of the extremes of its level sets and we present a parametric family of fuzzy semidistances between them that let us to consider a total fuzzy error of estimation (described as a fuzzy sum of squares of residuals in particular cases).
The estimation process consist in finding a regression model that minimizes, in a fuzzy sense, such fuzzy error. Although spreads of finite fuzzy numbers can take some values very close to zero, which complicate the task of finding nonnegative models, the presented algorithm is able to guarantee that the predicted response is a fuzzy variable. Finally a numerical example based on fuzzy economic data of China is given to illustrate the use of the proposed method.