基于模糊数的模糊事件概率的结构元表示  

The Method of Using Structured Element to Express Fuzzy Thing Probability Based on Fuzzy Number

作　　者：岳立柱[1] 仲维清[1] 闫艳[1] 

机构地区：[1]辽宁工程技术大学工商管理学院,辽宁阜新123000

出　　处：《模糊系统与数学》2010年第5期91-95,共5页Fuzzy Systems and Mathematics

基　　金：辽宁省社会科学界联合会项目(2008lslktglx-20)

摘　　要：Zadeh[1]定义了在概率清晰和事件模糊条件下,模糊事件的概率表示。不过,用[1]表示概率,求解繁杂且困难。为此,利用结构元理论,定义了模糊数事件概率的表达式。不仅证明其与经典定义等价,且证明了模糊数事件复合表达形式。最后,给出了关于模糊数不等式的概率的表达式。通过算例可看出,运用本方法求解模糊数事件概率比较简捷。on condition that the probability is clear and the thing is fuzzy,the description of probability of fuzzy thing is defined by Zadeh[1].However,it is complex and difficult to solve some questions by using this definition,because of this,structured element theory is used to define how to express the probability of fuzzy thing.Not only does it prove that classical definition is equivalent to it,but also it prove how to express the compound fuzzy numbers thing. Finally,fuzzy number inequality is described by using probability.An example can prove that it is simpler to solve the probability of fuzzy number thing by using this method.

关 键 词：模糊数 模糊概率 结构元 

分 类 号：O159[理学—数学]