区间直觉模糊事件概率及其泛化形式的研究

doi:10.3969/j.issn.1001-506X.2011.02.24

Journal of Systems Engineering and Electronics ›› 2011, Vol. 33 ›› Issue (2): 350-355.doi: 10.3969/j.issn.1001-506X.2011.02.24

区间直觉模糊事件概率及其泛化形式的研究

樊雷, 雷英杰

空军工程大学导弹学院, 陕西三原 713800

出版日期:2011-02-28 发布日期:2010-01-03

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

FAN Lei, LEI Ying-jie

Missile Institute, Air Force Engineering University, Sanyuan 713800, China

Online:2011-02-28 Published:2010-01-03

摘要/Abstract

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。

Abstract:

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.

中图分类号:

TP 182

樊雷, 雷英杰. 区间直觉模糊事件概率及其泛化形式的研究[J]. Journal of Systems Engineering and Electronics, 2011, 33(2): 350-355.

FAN Lei, LEI Ying-jie. Probability of interval-valued intuitionistic fuzzy events and its general forms[J]. Journal of Systems Engineering and Electronics, 2011, 33(2): 350-355.

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

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