基于分离优势覆盖集的Pythagorean模糊决策信息系统的属性约简  

Attribute Reductions of Pythagorean Fuzzy Decision Information Systems Based on Stripped Dominance Covering Sets

作　　者：张鑫 张少谱 冯涛[2] 季红艳 ZHANG Xin;ZHANG Shaopu;FENG Tao;JI Hongyan(Department of Mathematics and Physics,Shijiazhuang Tiedao University,Hebei Shijiazhuang 050043,China;School of Sciences,Hebei University of Science and Technology,Hebei Shijiazhuang 050018,China;Non-commissioned Officer Academy of PAP,Zhejiang Hangzhou 311400,China)

机构地区：[1]石家庄铁道大学数理系,河北石家庄050043 [2]河北科技大学理学院,河北石家庄050018 [3]中国人民武装警察部队士官学校基础部,浙江杭州311400

出　　处：《河北师范大学学报（自然科学版）》2022年第2期139-146,共8页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(62076088);河北省自然科学基金(A2020208004);河北省人才工程培养资助项目(A201901049);河北省教育厅青年基金(QN202020196)。

摘　　要：讨论了基于分离优势覆盖集的Pythagorean模糊决策信息系统的属性约简问题.首先基于优势关系,在Pythagorean模糊决策信息系统中给出了优势覆盖集、分离优势覆盖集、D分离优势覆盖集等概念.进而利用分离优势覆盖集、D分离优势覆盖集对Pythagorean模糊决策信息系统进行约简.最后,将提出的约简算法与其他约简算法进行比较,验证了所提出算法的有效性和优越性.In this paper, attribute reductions of Pythagorean fuzzy decision information systems based on stripped dominance covering sets are discussed.First, based on the dominance relation, dominance covering sets, stripped dominance covering sets, D-stripped dominance covering sets of Pythagorean fuzzy decision information systems are given.Then stripped dominance covering sets and D-stripped dominance covering sets are used to reduce the Pythagorean fuzzy decision information systems.Finally, the reduction algorithms proposed in this paper are compared with other reduction algorithms, and the effectiveness and superiority of the proposed algorithms are verified.

关 键 词：属性约简 Pythagorean模糊决策信息系统 优势关系 D分离优势覆盖集 粗糙集 

分 类 号：O236[理学—运筹学与控制论]