| 模糊数的隶属度区间分布函数 |
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| 引用本文： | 万中,梁文冬,卢宗娟.模糊数的隶属度区间分布函数[J].重庆工学院学报,2011(1). |
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| 作者姓名： | 万中 梁文冬 卢宗娟 |
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| 作者单位： | 中南大学数学科学与计算技术学院; |
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| 基金项目： | 国家自然科学基金资助项目(71071162); “模糊约束规划方法及其应用”(2009ssxt115); 中南大学研究生学位论文创新项目 |
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| 摘 要： | 定义了关于模糊集合的隶属度区间分布函数的概念,用L-R梯形模糊数的隶属度区间分布函数等例子,说明了所引入的概念具备重要的实际背景,是合理的。进一步澄清了模糊数的隶属度函数、隶属度区间分布函数和随机变量的概率密度函数的关系,以及模糊数的隶属度区间分布函数和随机变量的概率分布函数的异同。
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| 关 键 词： | 概率密度函数 概率分布函数 模糊集合 隶属度函数 隶属度区间分布函数 |
Study on the Membership Interval Distribution Function for Fuzzy Sets |
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| WAN Zhong,LIANG Wen-dong,LU Zong-juan.Study on the Membership Interval Distribution Function for Fuzzy Sets[J].Journal of Chongqing Institute of Technology,2011(1). |
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| Authors: | WAN Zhong LIANG Wen-dong LU Zong-juan |
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| Affiliation: | WAN Zhong,LIANG Wen-dong,LU Zong-juan(School of Mathematics Sciences and Computing Technology,Central South University,Changsha 410083,China) |
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| Abstract: | In this paper,firstly,a concept of membership interval distribution function for fuzzy sets is introduced.By some examples on L-R trapezoidal fuzzy numbers,it was demonstrated that the membership interval distribution function has important practical background and is reasonable and useful.Then,the relations among the proposed concept,the membership functions of fuzzy sets and the probability density function are stated.Some comparisons had been made between the interval distribution of membership function ... |
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| Keywords: | probability density function probability distribution function fuzzy sets membership function membership interval distribution function |
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