摘要
介绍了G.J.Klir提出的限制型模糊算术(CFA),并与L.A.Zadeh的标准模糊算术(SFA)进行了比较。研究等式约束下的模糊运算及其性质,在G.J.Klir的基础上推广了等式约束下的模糊运算,定义了一类可结构元展开的模糊值函数,给出了这类函数的微积分运算,并给出了几个例子。
The constrained fuzzy arithmetic (CFA) introduced by G. J. Klir is presented in this paper, compared with the standard fuzzy arithmetic (SFA) by L. A. Zadeh. This paper studies the properties of the fuzzy operation with equality constraint, and generalizes the fuzzy operation with equality constraints on the basis of G. J. Klir's. We define a kind of fuzzy-valued functions expanded by fuzzy structuring element, and give the calculus operation of this kind functions. In this paper, some examples are also given.
出处
《辽宁工程技术大学学报（自然科学版）》
EI
CAS
北大核心
2005年第2期299-302,共4页
Journal of Liaoning Technical University (Natural Science)
基金
国家自然科学基金资助项目(50244015)
关键词
标准模糊算术
限制型模糊算术
结构元
模糊值函数
模糊微积分
standard fuzzy arithmetic
constrainted fuzzy arithmetic
structuring element
fuzzy-valued function
fuzzy calculus
