区间直觉模糊事件概率及其泛化形式的研究  

Probability of interval-valued intuitionistic fuzzy events and its general forms

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：《系统工程与电子技术》2011年第2期350-355,共6页Systems Engineering and Electronics

基　　金：国家自然科学基金(60773209)资助课题

摘　　要：针对随机现象中存在的模糊性,给出了区间直觉模糊集(interval-valued intuitionistic fuzzy sets,IVIFS)的解决方案。首先,定义了样本空间中区间直觉模糊事件(interval-valued intuitionistic fuzzy events,IVIFE)的概念,给出了区间直觉模糊事件概率的描述化定义。其次,定义了区间直觉模糊三角模及三角余模的概念,给出了区间直觉模糊事件概率的公理化定义。再次,给出了区间直觉模糊概率的泛化形式,即可分形式和不可分形式,并详细证明了不可分形式。最后,通过实例验证了不可分形式。To describe fuzzy characteristics in stochastic phenomena,a solution by interval-valued intuitionistic fuzzy sets（IVIFS） is proposed.Firstly,the concep of interval-valued intuitionistic fuzzy events（IVIFE） in sample space is defined,and a descriptive definition of the probability of IVIFE is given.Secondly,IVIFS t-norm and s-norm are defined,and the axioms definition of IVIFE is given.Thirdly,the probability of IVIFE divisible and nondivisible general forms is particularly investigated,then the feasibility for the nondivisible form is minutely testified.Finally,the application of the nondivisible form is testified.

关 键 词：区间直觉模糊集 区间直觉模糊事件 区间直觉模糊事件概率 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]