区间直觉模糊统计判决与决策

Interval-valued intuitionistic fuzzy statistic adjudging and decision-making

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.