International Journal of Approximate Reasoning ( IF 3.9 ) Pub Date : 2021-04-26 , DOI: 10.1016/j.ijar.2021.04.004 Zhaowen Li , Zhihong Wang , Yan Song , Ching-Feng Wen
A fuzzy set-valued information system (FSVIS) refers to an information system (IS) whose information values are fuzzy sets. This article investigates information structures (ISts) in a FSVIS based on granular computing (GrC). First, FSVISs and homomorphism between them are introduced. Next, ISts in a FSVIS are described. The dependence and information distance between ISts are discussed, and characterizations of ISts in a FSVIS are acquired. Additionally, as an application of ISts in a FSVIS, the entropy measure of uncertainty for a FSVIS is discussed, and on the basis of this uncertainty measure, the optimal selection of ISts is investigated. The obtained consequence will be conducive to establishing a framework for GrC in a FSVIS. Last, the difference between this paper and the references for ISts in this paper is compared and discussed.
中文翻译:
基于粒度计算的模糊集值信息系统中的信息结构
模糊集值信息系统(FSVIS)是指信息值为模糊集的信息系统(IS)。本文研究基于粒度计算(GrC)的FSVIS中的信息结构(ISts)。首先,介绍了FSVIS和它们之间的同态性。接下来,描述FSVIS中的ISt。讨论了ISts之间的依赖关系和信息距离,并获取了FSVIS中ISts的特征。此外,作为ISts在FSVIS中的应用,讨论了FSVIS不确定性的熵度量,并在此不确定性度量的基础上,研究了ISts的最佳选择。获得的结果将有助于在FSVIS中建立GrC框架。最后,对本文与ISts参考文献之间的差异进行了比较和讨论。