Abstract
An operative method is proposed to evaluate degrees of membership, in situations when imprecise observations are made in a repeated way. The procedure is developed for limited subsets of the real axis R, but can be extended to RN. The analysis of a special case in R2 shows the existence of sets whose membership function does not become a characteristic function, even when the inaccuracy of sampling vanishes and the observations are made in absolutely precise way.
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Amato, P., Cerofolini, G. Measure, error and intrinsic fuzziness: a mathematical study of vagueness. Soft Computing 5, 194–200 (2001). https://doi.org/10.1007/s005000100081
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DOI: https://doi.org/10.1007/s005000100081