Abstract
Hong and Kim (Fuzzy Sets Syst 93:121–124, 1998) presented a membership function of a finite sum of mutually unrelated fuzzy variables with a common membership function. In this paper, we extend the fuzzy variables with a common membership function to those with different membership functions and then present the membership function of a finite sum of mutually unrelated fuzzy variables with different membership functions.
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Acknowledgments
This work was supported by Key Natural Science Foundation of Tianjin (No. 11JCZDJC24200) and National Natural Science Foundation of China (Grant No. 10702050).
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Li, S. Some comments on fuzzy variables with different membership functions. Soft Comput 16, 505–509 (2012). https://doi.org/10.1007/s00500-011-0749-5
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DOI: https://doi.org/10.1007/s00500-011-0749-5