模糊三支概念簇的理论与实践

Theory and practice of fuzzy three-way concept cluster

三支概念簇刻画的是具有家族相似性的三支概念集合。三支概念簇中的三支概念包含了对象共同具有和共同不具有的属性,但三支概念不能表达模糊的信息,不能解决模糊形式背景下的问题。将模糊三支概念分析和现代范畴理论相结合,提出了模糊三支概念簇;讨论了模糊三支概念簇的基本性质和运算方法;提出了一个在模糊形式背景下利用模糊三支概念簇查找相似对象的算法,将所提出的算法应用到新型冠状病毒感染疑似病例检索,取得了符合实际的实验结果。经过分析可知,模糊三支概念簇的应用场景更加广泛。

The three-way concept cluster describes the three-way concept collection with family similarity.The three-way concepts in the three-way concept cluster include the properties that objects have and do not have in common,but the three-way concepts cannot express ambiguous information and cannot solve problems in the fuzzy form context.Firstly,this paper combines the fuzzy three-way concept analysis with modern category theory,and proposes fuzzy three-way concept clusters.Secondly,the basic properties and operation methods of fuzzy three-way concept clusters are discussed.Finally,an algorithm is proposed to find similar objects using fuzzy three-way concept clusters in the fuzzy form context.The proposed algorithm was applied to the retrieval of suspected cases of COVID-19,and practical experimental results were obtained.After analysis,it can be seen that the application scenarios of fuzzy three-way concept clusters are more extensive.