基于相容关系的不完备模糊目标信息系统的分配约简  

Tolerance Relation Based Assignment Reduction in Incomplete Information Systems with Fuzzy Objectives

作　　者：王福贵[1] 李茹[1] 钱宇华[1] 阴志洲[2] 曹付元[1] 

机构地区：[1]山西大学计算机与信息技术学院 [2]北京航空航天大学,北京100083

出　　处：《计算机科学》2008年第4期174-177,共4页Computer Science

基　　金：国家863高技术研究发展计划项目(No2006AA01Z142);山西省自然科学基金项目(No2006011028);太原市科技局创新项目

摘　　要：属性约简是粗糙集理论中的重要研究内容,本文在不完备模糊目标信息系统中,提出了分配约简的概念,给出了分配约简的判定定理、相应的辨识矩阵,最后给出了计算分配约简的算法,并通过实例说明了算法的有效性。这种约简是完备的目标信息系统的分配约简的推广,同时也是不完备单模糊目标信息系统的(α,β)精度约简的推广。Attribute reduction is one of the important research topics in rough set theory. In this paper, we first propose a concept of assignment reduction which includes lower assignment reduction of level α, upper assignment reduction of level β and assignment reduction of level （α,β） in incomplete information systems with fuzzy objectives. We also present the judgement theorems and discernibility matrices for these reductions. Finally, we provide the algorithm of assignment reductions and illustrate its effectiveness. This assignment reduction is an extension of the assignment reduction in complete objective information systems as well as the precision reduction in incomplete information systems with single fuzzy objective .

关 键 词：不完备模糊目标信息系统 分配约简 辨识矩阵 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] TP311.13[自动化与计算机技术—控制科学与工程]