模糊判断矩阵加性一致性局部修正算法  

A Local Algorithm for Additive Consistency of Fuzzy Judgement Matrices in Group Decision Making

作　　者：葛宁静 马振明 宓玲 GE Ning-jing;MA Zhen-ming;MI Ling(School of Mathematics and Statistics,Linyi University,Linyi 276005,China)

机构地区：[1]临沂大学数学与统计学院

出　　处：《聊城大学学报（自然科学版）》2020年第1期17-22,共6页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金项目（11771196）;山东省自然科学基金项目（ZR2017MG027）资助

摘　　要：研究了群体决策中模糊判断矩阵加性一致性修正问题.在给出模糊判断矩阵有关概念的基础上,通过模糊偏序,给出模糊判断矩阵之间距离测度的一般定义,进一步提出新的可接受加性一致性,并设计群体决策中模糊判断矩阵加性一致性局部修正算法,验证了算法的收敛性;最后,通过算例说明本文给出的加性一致性修正算法,并与已有算法进行对比说明提出方法的优点.The present paper investigate the issue on the modification of the additive consistency of fuzzy judement matrices in group decision making.Based on the basis of fuzzy judgement matrices,a general concept of distance measure between fuzzy judgement matrices and a novel acceptably additive consistency are defined.Then,a local algorithm of reaching the acceptably additive consistency of fuzzy judgement matrices is proposed and its convergence is verified.At last,by numerical example,the proposed algorithm is illumated and its advantage is given by comparing with the existing method.

关 键 词：模糊判断矩阵 加性一致性 偏序 群体决策 

分 类 号：O159[理学—数学]