摘要
运用模糊数的模糊结构元表述理论,引入了区间[-1,1]上单调函数的某些同序单调变换,将复模糊数的加、减、乘、除运算转换为同序单调函数之间的相应运算。解决了以往基于扩张原理运算中的遍历过程带来的极大不便。同时,讨论了模糊结构元线性生成的复模糊数及其运算。
The operation of complex fuzzy numbers is an important contents. Previously operation based on the principles of the expansion brought great inconvenience. The use of fuzzy structured element theory, we defined order-preserving transform of bounded monotone functions on the symmetric interval [-1,1], the expression forms and correspondent membership of the four fundamental operations of fuzzy numbers base on the fuzzy structured element is obtained. This paper discussed the complex fuzzy numbers of opera- tions of linear fuzzy numbers.
出处
《模糊系统与数学》
CSCD
北大核心
2008年第4期124-126,共3页
Fuzzy Systems and Mathematics
基金
辽宁省教育厅高等学校科学研究项目(20060377)
关键词
模糊结构元
复模糊数
四则运算
Fuzzy Structured Element Complex Fuzzy Numbers
Correspondent Membership
