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区间直觉模糊判断矩阵群决策中的逆判问题
引用本文:夏梅梅,魏翠萍.区间直觉模糊判断矩阵群决策中的逆判问题[J].数学的实践与认识,2010,40(9).
作者姓名:夏梅梅  魏翠萍
基金项目:山东省高等学校科技计划项目
摘    要:研究了区间直觉模糊判断矩阵的群决策问题.定义了两种区间直觉模糊集相似度公式,给出两种与决策群体意见一致性程度最高的理想区间直觉模糊判断矩阵构造优化方法.利用矩阵对不同专家判断矩阵中相同位置元素的一致性进行分析,并对不同专家的判断信息进行整体相似程度分析,最后通过算例说明了该方法的有效性和实用性.

关 键 词:群决策  区间直觉模糊集  模糊判断矩阵  相似性

On the Problem of Adverse Judgment in Interval-valued Intuitionistic Fuzzy Preference Relations of Group Decision Making
XIA Mei-mei,WEI Cui-ping.On the Problem of Adverse Judgment in Interval-valued Intuitionistic Fuzzy Preference Relations of Group Decision Making[J].Mathematics in Practice and Theory,2010,40(9).
Authors:XIA Mei-mei  WEI Cui-ping
Abstract:The problem of group decision making based on interval-valued intuitionistic preference relation is investigated.Two similarity measures between interval-valued intuitionistic fuzzy sets are defined,and two optimal approaches of ideal interval-valued intuitionistic fuzzy preference relation which are satisfied to the most extent by the group of experts are introduced.At the same time,a consensus analysis of the elements in the same position of different fuzzy preference relations given by decision makers and the similarity degree of different decision makers based on the ideal interval-valued intuitionistic fuzzy preference relation are put forward.Finally,an illustrative example is given to demonstrate the feasibility and practicability of the proposed method.
Keywords:group decision making  interval-valued intuitionistic fuzzy set  fuzzy preference relation matrix  similarity
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