Abstract
We study limits of sums of fuzzy numbers with different spreads and different shape functions, where addition is defined by the sup-t-norm. We show the existence of the limit of the series of fuzzy numbers and prove the uniform continuity of the limit. Finally we investigate a law of large numbers for sequences of fuzzy numbers.
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This paper was supported by the Basic Science Research Institute Program, Ministry of Education, The Republic of Korea, 1996, Project No. BSRI-96-1439.
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Kwon, J. On the limits of sums of fuzzy numbers. Korean J. Comput. & Appl. Math. 5, 153–161 (1998). https://doi.org/10.1007/BF03008944
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DOI: https://doi.org/10.1007/BF03008944