区间直觉模糊数的新得分函数及其在多属性决策中的应用  

A New Scoring Function of Interval-valued Intuitionistic Fuzzy Number and Its Application in Multi-attribute Decision Making

作　　者：王中兴[1] 牛利利[1] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004

出　　处：《模糊系统与数学》2013年第4期167-172,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(10761001);广西自然科学基金资助项目(0991029);广西研究生教育创新计划项目(YCSZ2012011)

摘　　要：通过对区间直觉模糊数的犹豫区间进行讨论,提出了区间直觉模糊数的新得分函数和精确函数,并讨论新的得分函数具有的性质,在此基础上给出了区间直觉模糊数的一种新的排序方法。进而,结合区间直觉模糊加权平均算子给出了属性值为区间直觉模糊数的多属性决策方法,并通过算例阐明该方法的可行性和有效性。Based on the discussion of the hesitation of interval-valued intuitionistic fuzzy numbers, in this paper, a new scoring function and an accuracy function are proposed. At the same time, the properties of the new scoring function are discussed. Besides, a new ranking method of interval-valued intuitionistic fuzzy numbers is given. Furthermore, combined with the interval intuitionistic fuzzy weighted average operator, a multi-attribute decision method based on interval-valued intutionistic fuzzy environment is developed. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the new method.

关 键 词：区间直觉模糊数 得分函数 多属性决策 

分 类 号：C934[经济管理—管理学]