基于GFScom R-蕴涵型模糊系统的设计与逼近性能分析  

Design of R-Implication Fuzzy System Based on GFScom and Its Approximation Capability Analysis

作　　者：张胜礼 陈静 ZHANG Sheng-li;CHEN Jing(School of Information Technology,Minzu Normal University of Xingyi,Xingyi 562400,China;School of Economics and Trade,Minzu Normal University of Xingyi,Xingyi 562400,China)

机构地区：[1]兴义民族师范学院信息技术学院,贵州兴义562400 [2]兴义民族师范学院经济贸易学院,贵州兴义562400

出　　处：《模糊系统与数学》2024年第3期100-109,共10页Fuzzy Systems and Mathematics

基　　金：贵州省科学技术基金重点项目(编号:黔科合基础[2019]1458号);兴义民族师范学院科学研究基金资助项目(编号:21XYZJ07)。

摘　　要：模糊系统的研究一直是人工智能领域最重要的一个方向。结合之前给出得广义模糊集GFScom,提出了一种新的R-蕴涵型模糊系统的设计方法,并给出所构造系统的系统函数。同时,详细讨论了所设计模糊系统的泛逼近特性,研究得到该模糊系统是一种泛逼近器。应用实例表明所构造的R-蕴涵型模糊系统具有良好的性能。The study of fuzzy systems has always been one of the most important directions in the field of artificial intelligence.By use of the previous given generalized fuzzy set GFScom,one new design approach of the R-implication fuzzy system is proposed,and the system function of the constructed system is presented.Following this,the approximation theory of the designed fuzzy system is studied in details.One illustrative example shows that the constructed R-implication fuzzy system has better approximation capability.

关 键 词：否定 模糊系统 R-蕴涵 广义模糊集GFScom 泛逼近 

分 类 号：O159[理学—数学]