模糊数与模糊值函数的结构元线性表示  

Linear representation of fuzzy number and fuzzy-valued function using fuzzy structured element

作　　者：郭嗣琮[1] 

机构地区：[1]辽宁工程技术大学基础科学部,辽宁阜新123000

出　　处：《辽宁工程技术大学学报（自然科学版）》2006年第3期475-477,共3页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金资助项目(50174027;50244015);辽宁省教育厅高等学校科学研究资助项目(202183381)

摘　　要：为使模糊数和模糊函数运算更加简洁,在介绍模糊数与模糊值函数的结构元表示方法的基础上,给出了由模糊结构元任意表示的模糊数和模糊值函数转化为线性生成模糊数和模糊值函数的方法。由于在模糊结构元表示的模糊数和模糊值函数中,线性生成的模糊数和模糊值函数具有形式简单、计算容易的特点,这种方法解决了模糊数与模糊值函数运算的困难问题,具有现实的应用意义。文中还给出了两个计算实例。The operation of fuzzy numbers and fuzzy-valued functions is a difficult problem in the fuzzy analysis, and hinders the application of fuzzy-valued function analysis method. Using the fuzzy structured element method, we solved this difficulty. In the fuzzy number and fuzzy-valued function which use fuzzy structured element representation theorem, the fuzzy number and fuzzy-valued function of linear representation are simple and easy to compute. In this paper, a method is presented which transforms common expression form into linear representation using the fuzzy structured element. This is a very useful method for fuzzy number operation and fuzzy-valued function analysis.

关 键 词：模糊结构元 模糊数 模糊值函数 

分 类 号：O159[理学—数学]