Strong law of large numbers for t-normed arithmetics

Authors:
Pedro Terán
Affiliations:
Facultad de Ciencias Económicas y Empresariales, Unidad Docente de Métodos Estadísticos, Universidad de Zaragoza, Gran Vía, 2. E-50005 Zaragoza, Spain
Venue:
Fuzzy Sets and Systems
Year:
2008

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Abstract

We prove a strong law of large numbers for sequences of pairwise i.i.d. fuzzy random variables. Addition is given by the extension principle associated with a general continuous triangular norm. Our result includes the SLLN for levelwise sums, obtained when the chosen triangular norm is the minimum.