一种新的基于重心的广义梯形模糊数相似性测度  

A new similarity measure of generalized trapezoidal fuzzy numbers

作　　者：刘志强[1] 许若宁[1] 

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2012年第6期16-22,共7页Journal of Guangzhou University:Natural Science Edition

摘　　要：采用几何方法精确地计算了广义梯形模糊数的重心(COG),提出了一种度量广义梯形模糊数相似性测度的新方法;考虑了广义梯形模糊数之间的几何距离、重心、周长和面积;证明了所提出相似性测度的一些基本性质.最后,通过实例说明文章提出的度量方法比现有方法能更好地度量广义梯形模糊数的相似性测度.This paper presents a correct geometric method to calculate the center of gravity （COG） of general- ized trapezoidal fuzzy numbers. We present a novel method to measure the degree of similarity between general- ized trapezoidal fuzzy numbers based on the geometric distance, the center of gravity, the area and the perimeter of these kinds of fuzzy numbers. Then, we also prove some properties of the proposed similarity measure. Final- ly, we use sixteen sets of generalized trapezoidal fuzzy numbers to compare with the existing measures.

关 键 词：广义梯形模糊数 相似性测度 重心(COG) 

分 类 号：O159[理学—数学]