Mathematical Theory and Applications ›› 2016, Vol. 36 ›› Issue (3): 93-100.
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Ma Wanyuan, Geng Xiuli
Online:
Published:
Abstract: The key of using fuzzy mathematics to solve practical problems is to establish realistic membership function.The commonly used method to compute the fuzzy membership function is fuzzy statistic method, which relies on a large number of survey data and analysis on the function graph,and the calculation with heavy workload and complex process limits the practical application of fuzzy technology.A method for determining the fuzzy membership function based on probability statistics is proposed from the view of statistics.The proposed method is relatively simple and can adapt to much more cases of fuzzy membership function determination. Finally,a real world case is given and membership function curves derived from two methods are compared to verify the proposed method having higher accuracy.
Key words: Fuzzy set, Membership function, Probability statistics
Ma Wanyuan, Geng Xiuli. Research on the Fuzzy Membership Function Determination Based on Probability Statistics[J]. Mathematical Theory and Applications, 2016, 36(3): 93-100.
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http://mta.csu.edu.cn/EN/Y2016/V36/I3/93
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