Probabilistic foundations for measurement modelling with fuzzy random variables

Authors:
Pedro Terán
Affiliations:
Facultad de Ciencias Económicas y Empresariales, Grupo Decisión Multicriterio Zaragoza, Unidad Docente de Métodos Estadísticos, Universidad de Zaragoza, Gran Vía 2, E--500 ...
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

We propose fuzzy random variables as a tool for modelling measurements when both aleatory and fuzzy uncertainty have to be taken into account. Uncertainty propagation follows the ordinary scheme for the random part and uses a t-normed extension principle for the fuzzy part. We concentrate on the probabilistic theoretical underpinnings of the model, particularly limit theorems, and discuss their implications to the model.