Abstract
We prove a measurability result which implies that the measurable events concerning the values of a fuzzy random variable, in two related mathematical approaches wherein the codomains of the variables are different spaces, are the same (provided both approaches apply). Further results on the perfectness of probability distributions of fuzzy random variables are presented.
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Acknowledgements
Research in this paper was partially funded by Spain’s Ministerio de Economía y Competitividad (MTM2015–63971–P) and Asturias’ Consejería de Empleo, Industria y Turismo (GRUPIN-IDI2018-000132). Moreover, it was partially carried out while the first author enjoyed a Beca de colaboración from Spain’s Secretaría de Estado de Educación, Formación Profesional y Universidades.
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Alonso de la Fuente, M., Terán, P. Harmonizing two approaches to fuzzy random variables. Fuzzy Optim Decis Making 19, 177–189 (2020). https://doi.org/10.1007/s10700-020-09317-w
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DOI: https://doi.org/10.1007/s10700-020-09317-w