随机隶属函数的某些优化准则及基于随机集的组合律
首发时间:2005-12-28
摘要:本文定义了随机隶属函数的概念,使得论域上元素的隶属度的不再是一个确定的数, 而是一个随机变量, 同时定义了相应的alpha-beta 截集。相对于传统的非随机的隶属函数,随机隶属函数具有的概率性质 携带了更多的信息,文中讨论了随机隶属函数的一些特性,如元素在某个概率水平下最大隶属度, 以及大于某个隶属度水平的最大概率等,并给出一些例子加以说明它们在应用中的意义。最后通过建立随机集和随机隶属函数之间的对应关系,利用随机集的特点,得到随机隶属函数的组合律。
关键词: 随机隶属函数,alpha-beta 截集 随机集 随机隶属函数组合律
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Some Criteria for Random Membership Function and Combination Rules Based on Random Sets
Abstract:The concept of the random membership function is introduced. The fuzzy degree is no more a confirmed number, but a random variable. Random fuzzy function have more information than non-random fuzzy function. There are some discussions about the random membership function, and the examples show the rationality of the the random membership function. From the relationship of the random set and random membership function, various combination rules from stochastic point of view can be constructed.
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