Soft Computing ( IF 4.1 ) Pub Date : 2020-07-07 , DOI: 10.1007/s00500-020-05138-6 Guangji Yu
An information system (IS) is an important model in the field of artificial intelligence. A fuzzy information system (FIS) may be regarded as an IS under fuzzy environment. This paper obtains some results on a FIS. Operators on a FIS are first researched. Then, relationships between FISs are discussed from two aspects of dependence and separability, and dependence between FISs is characterized by the inclusion degree and two kinds of fuzzy distances between FISs are proposed. Next, algebraic characterizations of a FIS are obtained and invariant characterizations of a FIS under some homomorphisms are given. Finally, measuring uncertainty of a FIS is investigated, and experimental analyses illustrates that the proposed measures are suitable.
中文翻译:
模糊信息系统的表征和不确定性度量及相关结果
信息系统(IS)是人工智能领域的重要模型。模糊信息系统(FIS)可以视为模糊环境下的IS。本文在FIS上获得了一些结果。首先研究了FIS的运营商。然后,从依赖性和可分离性两个方面讨论了FIS之间的关系,并以包含度来描述FIS之间的依赖性,并提出了FIS之间的两种模糊距离。接下来,获得了FIS的代数刻画,并给出了在某些同态下的FIS的不变刻画。最后,对FIS的不确定度进行了调查,实验分析表明所提出的措施是合适的。