区间粗糙数互补判断矩阵的两种一致性  

Two Consistencies of Complementary Judgment Matrix Based on Interval Rough Numbers

作　　者：田泽金 黄锐露 吕跃进[2,3] TIAN Zejin;HUANG Ruilu;LV Yuejin(College of Electrical Engineering,Guangxi University,Nanning 530004,China;College of Mathematics and Information Science,Guangxi University,Nanning 530004,China;Lushan College,Guangxi University of Science and Technology,Liuzhou,Guangxi 545616,China)

机构地区：[1]广西大学电气工程学院,南宁530004 [2]广西大学数学与信息科学学院,南宁530004 [3]广西科技大学鹿山学院,广西柳州545616

出　　处：《计算机工程与应用》2019年第24期235-240,共6页Computer Engineering and Applications

基　　金：国家自然科学基金（No.71361002）

摘　　要：区间粗糙数判断矩阵具有在不确定判断中保留部分确定判断的双重特性,然而目前对其研究相对较少,特别是对其一致性的相关研究。为此该文提出了区间粗糙数互补判断矩阵的完全一致性和强一致性的概念以及判断其是否具有完全一致性和强一致性的相关定理。通过算例讨论了内外一致性对于整体一致性的影响,并给出区间粗糙数判断矩阵的完全一致性和强一致性的关系,为区间粗糙数判断矩阵的应用提供一致性理论基础作出相应探讨。Interval rough number judgment matrix has the dual characteristics of retaining partial deterministic judgment in uncertain judgment.However,there are few studies on it,especially on its consistency.The concept of perfect consistency and strong consistency of complementary judgment matrix based on interval rough numbers are proposed.And some theorems for judging whether they have complete consistency and strong consistency are given.The effect that internal consistency and external consistency influence on the whole consistency is discussed and some examples are given.And the relation between perfect consistency and strong consistency of complementary judgment matrix based on interval rough numbers is explained.This paper discusses the consistency theory basis for the application of interval rough number judgment matrix.

关 键 词：区间粗糙数 互补判断矩阵 一致性 排序 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构] C934[自动化与计算机技术—计算机科学与技术]