优势—等价关系下直觉模糊决策信息系统的分配约简  

The Assignment Reduction to Intuitionistic Fuzzy Decision Information System Based on Dominance-Equivalence Relation

作　　者：林玉梅 方连花 郭新华 LIN Yu-mei(School of Software,Quanzhou University of Information Engineering,Fujian Quanzhou 362000,China)

机构地区：[1]泉州信息工程学院软件学院,福建泉州362000 [2]泉州信息工程学院公基部,福建泉州362000

出　　处：《长春工程学院学报（自然科学版）》2019年第2期55-58,122,共5页Journal of Changchun Institute of Technology：Natural Sciences Edition

基　　金：2019年度全国职业教育科研规划课题立项名单(2019QZJ218);福建省中青年教师教育科研项目(JT180706);2016年福建省大学生创新创业项目(20161376627)

摘　　要：直觉模糊决策信息系统常用于处理考察对象的分级决策问题,然而知识库中的有些属性有时是不必要的、冗余的,在保持某种分类质量不变的条件下,去掉冗余属性,利用重要的属性来获取决策规则。在目前的文献中,决策属性都是利用优势关系下进行分类的,得到的决策规则的不确定性最大。所以希望在直觉模糊决策信息系统中,针对条件属性做优势关系划分,对决策属性做等价划分,对直觉模糊决策信息系统的属性进行分配约简和近似约简。通过讨论它们的基本性质及其联系,给出优势-等价关系下直觉模糊决策信息系统的属性约简的判定定理及其辨识矩阵,最后通过算例验证与评估此理论与方法的正确性与有效性。The intuitionistic fuzzy decision information system is usually used for the dealing with the problems of the objects classifying decision.However,some attributes in the knowledge base are unnecessary and redundant.These attributes should be removed under a certain classification quality is unchanged.The decision rules are obtained by the important attribute.In the recent literatures,the decision attributes are classified by the method of using the dominant relationship,and the decision rules obtained are with the most uncertainty.This paper aims that the decision attributes can be made equivalence classification to decision attribute by the conditional attributes of dominance relationship division in the intuitionistic fuzzy decision information system.The assignment reduction and the approximation reduction are made to the attributes of intuitionistic fuzzy decision information system.The judgement theorem and the discernibility matrix of the intuitionistic fuzzy decision information system under the dominance-equivalence relation are given by exploring their basic properties and the related attributes.Finally,an example is given to validate and evaluate the correctness and effectiveness of the theory and method proposed in this paper.

关 键 词：优势-等价关系 直觉模糊决策信息系统 分配约简 近似约简 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]