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## Study on the Membership Interval Distribution Function for Fuzzy Sets

WAN Zhong,LIANG Wen-dong,LU Zong-juan(School of Mathematics Sciences and Computing Technology,Central South University,Changsha 410083,China)
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.
【Fund】： 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
【CateGory Index】： O159
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