Properties of Measure-based Fuzzy Logic

作     者：LU Jian ping 1, ZHAO Shu xiang 2 (1. Department of Computer Science, Xi’an Institute of Posts and Telecommunications, Xi’an 710061, P.R. China 2. School of Computer Science, Xidian University, Xi’an 710071, P.R. China) 

作者机构：Department of Computer Science Xi'an Institute of Posts and Telecommunications Xi'an 710061 P.R. China School of Computer Science Xidian University Xi'an 710071 P.R. China 

出 版 物：《The Journal of China Universities of Posts and Telecommunications》 (中国邮电高校学报（英文版）)

年 卷 期：2001年第8卷第4期

页      面：29-33页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 081104[工学-模式识别与智能系统] 08[工学] 0835[工学-软件工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：SupportedbytheFoundationofMinistryofPostsandTelecommunicationsofChina(No.970 2 0 ) 

主　　题：fuzzy logic Boolean algebra measure based fuzzy logic extended Boolean algebra law of excluded middle law of contradiction 

摘      要：Measure based fuzzy logic, which is constructed on the basis of eight axioms, is a seemingly powerful fuzzy logic. It possesses several remarkable properties. (1) It is an extended Boolean logic, satisfying all the properties of Boolean algebra, including the law of excluded middle and the law of contradiction. (2) It is conditional. Conditional membership functions play an important role in this logic. (3) The negation operator is not independently defined with the conjunction and disjunction operators, but on the contrary, it is derived from them. (4) Zadehs fuzzy logic is included in it as a particular case. (5) It gives more hints to the relationship between fuzzy logic and probability logic.