区间直觉模糊统计判决与决策  

Interval-valued intuitionistic fuzzy statistic adjudging and decision-making

作　　者：樊雷[1,2] 雷英杰[2] 段索力[1] 

机构地区：[1]空军工程大学教育技术中心,西安710051 [2]空军工程大学导弹学院,三原713800

出　　处：《系统工程理论与实践》2011年第9期1790-1797,共8页Systems Engineering-Theory & Practice

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

摘　　要：针对统计判决与决策中存在的模糊性,给出了模糊性区间直觉模糊集的描述方法.首先.给出了区间直觉模糊事件概率的概念;其次,在定义区间直觉模糊t模及s模的基础之上,给出了区间直觉模糊事件概率所满足的基本性质,证明了区间直觉模糊乘法定理、全概率公式和贝叶斯公式;再次,根据给出的区间直觉模糊概率的性质,依据信息源类型的不同,详细分析区间直觉模糊统计判决与决策的方法;最后,验证了该方法的有效性.Handling fuzzy characteristics in statistic adjudging and decision-making by interval-valued intuitionistic fuzzy sets had been proposed in this paper.Firstly,the conception of interval-valued intuitionistic fuzzy events probability had been given;secondly,the conception of interval-valued intuitionistic fuzzy t-norm,s-norm had been proposed,the characteristics of interval-valued intuitionistic fuzzy events probability had been detailed testified and the theorems of multiplication,absolute probability and Bayes had been described and proofed;thirdly,based on the characteristics of interval-valued intuitionistic fuzzy events probability and different types of information source,the techniques of interval-valued intuitionistic fuzzy statistic adjudging and decision-making had been particularly analyzed;finally,the application of the algorithms had been testified.

关 键 词：区间直觉模糊集 区间直觉模糊概率 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]