直觉模糊统计判决与决策  

Intuitionistic fuzzy statistic adjudging and decision-making

作　　者：樊雷[1] 雷英杰[1] 

机构地区：[1]空军工程大学导弹学院,陕西三原713800

出　　处：《控制与决策》2011年第3期357-362,共6页Control and Decision

基　　金：国家自然科学基金项目(60773209);陕西省自然科学基金项目(2006F18).

摘　　要：针对统计判决与决策中存在的模糊性,给出了模糊性直觉模糊集的解决方案.首先提出直觉模糊事件概率的概念,在定义直觉模糊t模及s模的基础上给出直觉模糊事件概率所满足的基本性质,并证明了直觉模糊乘法定理、全概率公式和贝叶斯公式;然后根据所给出的直觉模糊概率所满足的性质,并依据信息源类型的不同,详细分析了直觉模糊统计判决与决策的方法;最后通过一个投资问题验证了该方法的有效性.For fuzzy characteristics in statistic adjudging and decision-making, a method to handle intuitionistic fuzzy sets is proposed in this paper. Firstly, the conception of intuitionistic fuzzy events probability is given. Then the conceptions of intuitionistic fuzzy t-norm and s-norm are proposed, the characteristics of intuitionistic fuzzy events probability are detailed and testified, and the theorems of multiplication, absolute probability and Bayes are described and proofed. Based on the characteristics of intuitionistic fuzzy events probability and different types of information source, the techniques of intuitionistic fuzzy statistic adjudging and decision-making are particularly analyzed. Finally, experiments on a problem of investment show the effectiveness of the algorithms.

关 键 词：直觉模糊集 直觉模糊事件 直觉模糊事件概率 直觉模糊统计判决与决策 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]