一种S-蕴涵模糊逻辑系统的真度理论  

Truth Degree Theory of One Kind of S-implication Fuzzy Logic System

作　　者：张美[1,2] 马盈仓 刘凤仙[2] 

机构地区：[1]西安工程大学理学院,陕西西安710048 [2]准格尔旗实验小学,内蒙古鄂尔多斯010300

出　　处：《山西大学学报（自然科学版）》2011年第4期524-527,共4页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(60775038);陕西省教育厅专项科研计划项目(2010JK567)

摘　　要：利用计量逻辑学中真度理论的思想,首次对S-蕴涵的模糊逻辑系统的真度理论进行研究.在模糊逻辑与语义解释为乘积算子,蕴涵解释为其相应S-蕴涵的模糊逻辑系统中,借助逻辑公式A所诱导的函数引入逻辑公式A的积分真度概念,建立一种S-模糊逻辑系统下的真度理论,得到其真度推理规则.Based on the method of quantitative logic,the truth degree theory of fuzzy logic system based on S-implication is studied firstly.By means of the function induced by a logical formula A,the concept of integral truth of the logical formula A was introduced in S-fuzzy logic system,which logical AND is explained by product operator and logical implication is explained by according S-implication,and the degree theory of fuzzy logic system based one kind of S-implication are build,moreover,some rules of the truth degree inference are given.

关 键 词：积分真度 推理规则 S-蕴涵 

分 类 号：N55[自然科学总论]