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一种S-蕴涵模糊逻辑系统的真度理论
引用本文:张美,马盈仓,刘凤仙.一种S-蕴涵模糊逻辑系统的真度理论[J].山西大学学报(自然科学版),2011,34(4):524-527.
作者姓名:张美  马盈仓  刘凤仙
作者单位:1. 西安工程大学理学院,陕西西安710048;准格尔旗实验小学,内蒙古 鄂尔多斯010300
2. 西安工程大学理学院,陕西西安,710048
3. 准格尔旗实验小学,内蒙古 鄂尔多斯,010300
基金项目: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.

关 键 词:积分真度  推理规则  S-蕴涵

Truth Degree Theory of One Kind of S-implication Fuzzy Logic System
ZHANG Mei , MA Ying-cang , LIU Feng-xian.Truth Degree Theory of One Kind of S-implication Fuzzy Logic System[J].Journal of Shanxi University (Natural Science Edition),2011,34(4):524-527.
Authors:ZHANG Mei  MA Ying-cang  LIU Feng-xian
Institution:ZHANG Mei1,2,MA Ying-cang1,LIU Feng-xian2(1.School of Science,Xi'an Polytechnic University,Xi'an 710048,China,2.Zhungeer Banner Experimental Primary School,Ordos,Inner Mongolia 010300,China)
Abstract: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 trut...
Keywords:integral truth degree  inference rule  S-implication  
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