知识依赖与动态模糊数据粗传递  

Knowledge Dependence and Rough Communication of Dynamic Fuzzy Data

作　　者：刘纪芹 张淑君 潘正琨 LIU Ji-qin;ZHANG Shu-jun;PAN Zheng-kun(School of Mathematics and Quantitative Economics,Shandong University of Finance and Economics,Jinan 250014,China)

机构地区：[1]山东财经大学数学与数量经济学院,山东济南250014

出　　处：《模糊系统与数学》2020年第4期156-166,共11页Fuzzy Systems and Mathematics

基　　金：国家社会科学基金资助项目(71663010);山东省自然科学基金资助项目(zr2013aq019)。

摘　　要：根据实际中经常遇到的信息传递情况:一是我们不能丢失任何可能有用的信息,以免造成损失;二是被传递的概念是双向动态变化的模糊数据,三是信息传递者的知识不同,接收到的数据信息不一样。本文利用具有动态特性的双向S-粗模糊集构建了一种新的动态模糊数据粗传递模型-上近似动态模糊数据粗传递模型,分析了信息传递者的知识对模糊数据粗传递的影响,建立了知识依赖、知识等价、知识独立与传递过程中动态模糊数据变化的关系,得到了动态模糊数据在传递过程中保持不变、发生增益的条件,给出了动态模糊粗传递数据不变定理及数据增益定理,最后给出了动态模糊粗传递模型在风险投资管理系统中应用,制定了符合实际的投资决策。动态模糊粗传递是双向S-粗模糊集的一种新的应用。According to the situations of information communication that are often encountered in practice: First, we can’t lose any information that may be useful in order to avoid loss. Second, the concept of being communicated is two-direction dynamic fuzzy data. Third, the knowledge of information communicators is different, and the information they receive is different. In this paper, a new dynamic fuzzy data rough communication model, the upper approximate rough communication model of dynamic fuzzy data, is constructed by using two-direction S-rough fuzzy sets with dynamic characteristics. The influence of the knowledge of information communicators on the rough communication of fuzzy data is analyzed. The relationship between knowledge dependence, knowledge equivalence, knowledge independence and dynamic fuzzy data change in the process of communication is established. The conditions for the dynamic fuzzy data to remain unchanged and gain are obtained. The data invariance theorems and data gain theorems of dynamic fuzzy rough communication are given. Finally, the application of the dynamic fuzzy rough communication model in venture capital management system is given, and the investment decision in accordance with the actual situation is made. Dynamic fuzzy rough communication is a new application of two-direction S-rough fuzzy sets theory.

关 键 词：动态模糊数据 双向S-粗模糊集 上近似动态模糊数据粗传递 模糊数据增益 风险投资 

分 类 号：O159[理学—数学]