Abstract
In this paper, we deal with special generalization of probability measures and random variables by considering their values in the set of gradual numbers. Firstly, the concept of gradual probability measures is introduced and some of its properties are discussed. And then, the concept of gradual random variables is introduced and weak law of large numbers for gradual random variables on a gradual probability space is obtained.
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Zhou, C., Wang, P. (2014). New Fuzzy Probability Spaces and Fuzzy Random Variables Based on Gradual Numbers. In: Pan, L., Păun, G., Pérez-Jiménez, M.J., Song, T. (eds) Bio-Inspired Computing - Theories and Applications. Communications in Computer and Information Science, vol 472. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45049-9_104
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DOI: https://doi.org/10.1007/978-3-662-45049-9_104
Publisher Name: Springer, Berlin, Heidelberg
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