直觉模糊数可能度的概率定义及其决策  

Possibility Degree Definition Using Probability of Intuitionistic Fuzzy Numbers and Its Decision-making

作　　者：陈均明[1] 李红霞[2] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067 [2]重庆工商大学管理学院,重庆400067

出　　处：《模糊系统与数学》2012年第1期99-106,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(70901080)

摘　　要：发现直觉模糊数可能度的传统定义考虑的因素不全面,计算结果不太符合常理,提出基于均匀分布的直觉模糊数可能度定义,得到相对简单且精确的可能度计算公式;证明可能度的传统定义不稳定;探索多属性直觉模糊集利用可能度进行决策的方法。最后,运用多属性直觉模糊集决策实例,既验证基于均匀分布的可能度定义的优越性,又验证可能度传统定义的不稳定性和不能敏锐区别方案间的差别,难以得到最优决策,甚至可能导致错误决策。This paper found the traditional definition of possibility degree of intuitionistic fuzzy numbers was not considerate and its result is not very good for common sense, then proposed a new definition of possibility degree of intuitionistic fuzzy numbers based on uniform distribution,and got a relatively simple and exact formula for calculating possibility degree. It proved that the traditional definition of possibility degree was unstable, then explored a decision making method with possibility for multiple attributes intuitionistic fuzzy sets. Finally, it used a decision-making example of multiple attributes intuitionistic fuzzy sets to verify the advantage of possibility degree based on uniform distribution, and also to verify the traditional definition of possibility degree was unstable and not able to sensitivity distinguish the nice distinction between programmes and, so it is difficult to get the best decision and even may lead to false decision.

关 键 词：直觉模糊数 可能度 均匀分布 稳定性 多属性决策 

分 类 号：O159[理学—数学]