Minimal axiom group of similarity-based rough set model

作     者：DAI Jian-hua PAN Yun-he 

作者机构：Institute of Artificial IntelligenceZhejiang UniversityHangzhou 310027China 

出 版 物：《Frontiers of Electrical and Electronic Engineering in China》 (中国电气与电子工程前沿（英文版）)

年 卷 期：2006年第1卷第3期

页      面：255-258页

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported by the National Basic Research Program of China(2002CB312106) China Postdoctoral Science Foundation(2004035715) Selected and Supported Postdoctoral Research Project by Zhejiang Province(2004-bsh-023) 

主　　题：rough set theory axioms minimization 

摘      要：Rough set axiomatization is one aspect of rough set study to characterize rough set theory using dependable and minimal axiom ***,rough set theory can be studied by logic and axiom system *** classical rough set theory is based on equivalence relation,but the rough set theory based on similarity relation has wide ap-plications in the real *** characterize similarity-based rough set theory,an axiom group named S,consisting of 3 axioms,is *** reliability of the axiom group,which shows that characterizing of rough set theory based on similarity relation is rational,is ***,the minimization of the axiom group,which requests that each axiom is an equation and independent,is *** axiom group is helpful to research rough set theory by logic and axiom system methods.