模糊数的小于关系的度量  

The Measure of Less-than Relation to Fuzzy Numbers

作　　者：李丽霞[1] 蔡习宁[1] 李法朝[1] 苏连青[1] 

机构地区：[1]河北科技大学理学院,河北石家庄050018

出　　处：《河北科技大学学报》2003年第2期61-65,共5页Journal of Hebei University of Science and Technology

摘　　要：在模糊数的应用领域中,需要将模糊数作为整体比较其差异,因此,建立比较模糊数的整体度量的指标是必需的。基于区间A小于区间B的程度<(A,B),借助于模糊集的λ-截集和勒贝格积分,笔者建立了一种从整体上衡量模糊数的小于关系的度量<(A,B),讨论了它们的基本性质,为进一步讨论模糊数的序结构作了必要的准备。In the application fields of Fuzzy numbers, we need to compare their differences as a whole; therefore, it is essential to establish a target about global measure of fuzzy numbers. In this paper.based on a stage <(A.B) at which the interval A is less-than the interval B,we establish a new type of global measure of less-than relation to fuzzy numbers with the aid of a A^cutsets of fuzzy sets and lebesgue integral,discuss some of their basic properties,and make necessary preparations for further discussing the order structure of fuzzy numbers.

关 键 词：模糊数学 模糊数 小于关系 模糊集 λ—截集 勒贝格积分 度量 

分 类 号：O159[理学—数学]