具有三种否定模糊集GFScom的包含度及应用  

The Inclusion Degree and It’s Application Based on Generalized fuzzy set GFScom with Three Kinds of Negation

作　　者：吴晓刚 WU Xiao-gang(School of Information Technology,Xingyi Normal University for Nationalities,Xingyi 562400,China;Department of Computer Science and Technology,Tongji University,Shanghai 201804,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]同济大学计算机科学与技术系,上海201804

出　　处：《数学的实践与认识》2020年第18期131-138,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金资助项目(61673301);贵州省科学技术基金资助项目(黔科合基础[2019]1458号);贵州省教育厅自然科学研究重点项目(黔教合KY字[2015]403)。

摘　　要：广义模糊集GFScom是在FScom基础上改进的具有三种不同否定的模糊集,通过三角模来定义中介否定,使得计算更灵活.针对经典模糊集只有一种否定的情形,提出了基于模糊集GFScom的包含度公理化定义,重点讨论了包含度的一些性质和应用公式,并给出了包含度在网络IPTV服务质量(Qos)中的模糊评判应用.通过实例表明具有三种否定的包含度在应用中更方便且符合客观实际.The generalized fuzzy set GFScom is an improved fuzzy set with three different kinds of negation based on FScom.The medium negation is defined through the triangle module,which makes the calculation more flexible.Aiming at the case that there is only one negation of classical fuzzy set,the axiomatic definition of inclusion degree based on GFScom is put forward,some properties and application formulas of inclusion degree are emphatically discussed,and the application of inclusion degree in fuzzy evaluation of network IPTV quality of service(Qos)is given.An example shows that the inclusion degree with three kinds of negation is more convenient in application and conforms to the objective reality.

关 键 词：广义模糊集GFScom 不确定性 包含度 

分 类 号：O159[理学—数学]