一种改进的直觉模糊数排序方法  

An Improved Method for Ranking Intuitionistic Fuzzy Numbers

作　　者：余怡君 莫炯梅 黄韩亮 YU Yijun;MO Jiongmei;HUANG Hanliang(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian 363000,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《闽南师范大学学报（自然科学版）》2018年第4期12-17,共6页Journal of Minnan Normal University：Natural Science

基　　金：国家自然科学基金项目(11701089);福建省自然科学基金(2018J01422)

摘　　要：在直觉模糊环境下,改进Szmidt E中所提出排序方法,克服其不满足最小值性质,不符合直觉模糊数排序原则以及无法完全区分所有直觉模糊数等不足.进一步,研究了所提出的排序方法的性质,如自反性,反对称性和传递性.并通过数值例子体现该方法在属性决策应用中的有效性及优越性.An improved method is proposed to overcome the shortcomings of previous ranking method:such as not being conformity with the property of the minimum value,failing to accord with the principle of ranking intuitionistic fuzzy numbers and impossible to distinguish all intuitionistic fuzzy numbers.Then the properties of the improved method have been investigated,like the maximum,reflexivity,and transitivity.Finally,a numerical example is given to illustrate the rationality and validity of the proposed method.

关 键 词：直觉模糊数 排序函数 属性决策 

分 类 号：N945.25[自然科学总论—系统科学]