模糊映射下隶属度函数的传递

doi:10.7523/j.issn.2095-6134.2012.3.003

中国科学院大学学报 ›› 2012, Vol. ›› Issue (3): 300-306.DOI: 10.7523/j.issn.2095-6134.2012.3.003

模糊映射下隶属度函数的传递

付肖燕¹, 沈继红²

1. 哈尔滨工程大学自动化学院, 哈尔滨 150001;
2. 哈尔滨工程大学理学院, 哈尔滨 150001

收稿日期:2010-11-03 修回日期:2011-04-19 发布日期:2012-05-15
通讯作者: 付肖燕

Transmission of membership function under fuzzy mapping

FU Xiao-Yan¹, SHEN Ji-Hong²

1. College of Automation, Harbin Engineering University, Harbin 150001, China;
2. College of Science, Harbin Engineering University, Harbin 150001, China

Received:2010-11-03 Revised:2011-04-19 Published:2012-05-15

摘要/Abstract

摘要： 首先在一元模糊反映射存在一对多的情况下,给出隶属度函数的一种求取算法,用以改善模糊映射为一元函数时的模糊性传递;其次,在一定假设条件下,提出一般多元函数的模糊性传递原理,并给出证明;最后,借鉴边际概率分布的计算公式,针对多元隶属度函数已知的情形,给出求取单个变量的隶属度函数公式,并进行了相应证明.

关键词: 隶属度函数, 一元模糊扩展原理, 多元模糊扩展原理, 模糊映射

Abstract: When the fuzzy inverse mapping is one-to-many and the fuzzy mapping is simple function, an algorithm to calculate membership function is given for improving the transmission of fuzziness. Under certain assumptions, we propose the transmission theorem of fuzziness of general multivariable function, and the proof is given. Using the calculation formula of marginal probability for reference, we show how to calculate one single variable membership function when the multivariable membership function is given, and the proof is also given.

Key words: membership function, one variable fuzzy extension principle, multivariable fuzzy extension principle, fuzzy mapping

中图分类号:

O159

付肖燕, 沈继红. 模糊映射下隶属度函数的传递[J]. 中国科学院大学学报, 2012, (3): 300-306.

FU Xiao-Yan, SHEN Ji-Hong. Transmission of membership function under fuzzy mapping[J]. , 2012, (3): 300-306.

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模糊映射下隶属度函数的传递

Transmission of membership function under fuzzy mapping

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