基于新精确函数的区间直觉模糊多属性决策方法  

Multicriteria Fuzzy Decision-Making Method with Interval-Valued Intuitionistic Fuzzy Sets Based on a Novel Accuracy Function

作　　者：谢海斌[1] 王中兴[2] 谢国榕[1] 陈迪三[1] 唐芝兰[2] 

机构地区：[1]广西师范大学漓江学院理学系,广西桂林541006 [2]广西大学数学与信息科学学院,广西南宁530004

出　　处：《数学的实践与认识》2012年第22期182-188,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10761001);广西自然科学基金(0991029);广西高等教育教学改革工程项目(2011JGA137)

摘　　要：基于区间直觉模糊数隶属度和非隶属度构成的二维几何图形特征给出区间直觉模糊数精确函数的新定义,并将其作为区间直觉模糊数的排序指标,区间直觉模糊数的精确函数值越大,则区间直觉模糊数就越大,进而提出一种权重信息不完全确定的区间直觉模糊多属性决策方法.通过算例分析说明所提出排序指标的有效性和决策方法的可行性.In this paper, a new novel accuracy function is first defined by considering the two- dimensional geometry characteristic on membership degree and nonmembership degree of interval-valued intuitionistic fuzzy sets （IVIFSs）. The new novel accuracy function is em- ployed to rank alternatives, a higher value means a more preferable alternative. Furthermore, the ranking method is illustrated by numerical examples and compared with other methods, And then a new method for multi-criteria fuzzy decision making with imcomplete weights is established and criteria values for alternatives are IVIFSs. Finally, an illustrative example is given to demonstrate the developed method and to show its validation and practicality.

关 键 词：排序指标 区间直觉模糊集 新精确函数 属性权重 

分 类 号：O225[理学—运筹学与控制论] O159[理学—数学]