摘要
为了进一步将模糊集合理论引入到三支概念分析中,在模糊形式背景下研究了属性导出模糊三支概念与对象导出模糊三支概念,将已有的经典三支概念拓展到了模糊三支概念中,对完善三支概念理论有重要意义.首先,在模糊形式背景下,结合模糊集合理论将对象与属性的关系用隶属度表示.然后,用阈值α以及三支决策思想,将外延(内涵)分为正域,负域,边界域三个部分.其次,提出了两种模糊三支概念(属性导出三支概念与对象导出三支概念)的相关定义和重要定理.最后,结合实例详细解释了模糊三支概念在实际生活中的应用.模糊三支概念分析理论在非经典的背景下为粒计算、人工智能、机器学习等提供了可行的思路。
The attribute-induced fuzzy three-way concept and object-induced fuzzy three-way concept is studied in order to further introduce the fuzzy sets theory into the three-way concept analysis under the fuzzy form context. This paper extends the classical three-way concept to the fuzzy three-way concept,which is of great significance to improve the three -way concept theory. Firstly,the relationship between object and attribute is expressed by membership degree combined with the fuzzy sets theory under the fuzzy form context. Then we use threshold α and three-way decisions to divide the extension (intension) into three parts: positive domain, negative domain and boundary domain. Next, we proposed the relevant definitions and important theorems of two kinds of fuzzy three-way concepts(the attribute induced fuzzy three- way concept and the object induced fuzzy three - way concept). Finally, this paper explains in detail the application of fuzzy three-way concept in real life with examples. Fuzzy three-way concept analysis theory provides feasible ideas for granular computing,artificial intelligence,machine learning and so on under the fuzzy context.
作者
龙柄翰
徐伟华
Long Binghan;Xu Weihua(School of Science,Chongqing University of Technology,Chongqing,400054,China;College of Artificial Intelligence,Southwest University,Chongqing,400715,China)
出处
《南京大学学报（自然科学版）》
CAS
CSCD
北大核心
2019年第4期537-545,共9页
Journal of Nanjing University（Natural Science）
基金
国家自然科学基金(61472463,61772002)
西南大学中央高校基本科研业务专项(XDJK2019B029)
关键词
三支决策
三支概念分析
模糊形式背景
模糊集
模糊三支概念分析
three-way decisions
three- way concept analysis
fuzzy form context
fuzzy sets theory
fuzzy three-way concept analysis
