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模糊数的隶属度区间分布函数

万中 梁文冬 卢宗娟

重庆理工大学学报(自然科学版)2011,Vol.25Issue(1):107-112,6.
重庆理工大学学报(自然科学版)2011,Vol.25Issue(1):107-112,6.

模糊数的隶属度区间分布函数

Study on the Membership Interval Distribution Function for Fuzzy Sets

万中 1梁文冬 1卢宗娟1

作者信息

  • 1. 中南大学,数学科学与计算技术学院,长沙,410083
  • 折叠

摘要

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 and probability distribution function.

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

Key words

probability density function/ probability distribution function/ fuzzy sets/ membership function/ membership interval distribution function

分类

数学

引用本文复制引用

万中,梁文冬,卢宗娟..模糊数的隶属度区间分布函数[J].重庆理工大学学报(自然科学版),2011,25(1):107-112,6.

基金项目

国家自然科学基金资助项目(71071162) (71071162)

"模糊约束规划方法及其应用"(2009ssxt115 ) (2009ssxt115 )

中南大学研究生学位论文创新项目 ()

重庆理工大学学报(自然科学版)

OACSTPCD

1674-8425

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