经济数学Issue(3)：87-91,5.
梯形直觉模糊数排序方法及在多属性决策中应用
A Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers and the Application to Decision Making
摘要
Abstract
The ranking of trapezoidal intuitionistic fuzzy numbers (TIFNs)was solved by the value and ambiguity based ranking method developed in this paper.Firstly,the concept of TIFNs was introduced,and arithmetic operations and cut sets over TIFNs were investigated.Then,the values and ambiguities of the membership degree and the non-membership degree for TIFNs were defined as well as the value-index and ambiguity-index.Finally,a value and ambiguity based ranking method was developed and applied to solve multiattribute decision making problems in which the ratings of alternatives on attributes were expressed using TIFNs.A numerical example was examined to demonstrate the implementation process and applicability of the method proposed.关键词
梯形直觉模糊数/梯形直觉模糊数的排序/多属性决策Key words
trapezoidal intuitionistic fuzzy number/ranking of trapezoidal intuitionistic fuzzy numbers/multiattribute decision making分类
管理科学引用本文复制引用
南江霞..梯形直觉模糊数排序方法及在多属性决策中应用[J].经济数学,2014,(3):87-91,5.基金项目
国家自然科学基金的资助(71101033,71461005) （71101033,71461005）
广西自然科学基金的资助(2012GXNSFAA053013,2012GXNSFAA053002,2014GXNSFAA118010),中国博士后基金的资助(13R21414700,2013M540372) （2012GXNSFAA053013,2012GXNSFAA053002,2014GXNSFAA118010）
