区间直觉模糊判断矩阵群决策中的逆判问题  

On the Problem of Adverse Judgment in Interval-valued Intuitionistic Fuzzy Preference Relations of Group Decision Making

作　　者：夏梅梅[1] 魏翠萍[2] 

机构地区：[1]东南大学经济管理学院,江苏南京211189 [2]曲阜师范大学运筹与管理学院,山东日照276826

出　　处：《数学的实践与认识》2010年第9期37-44,共8页Mathematics in Practice and Theory

基　　金：山东省高等学校科技计划项目(J09LA14)

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.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 introduced. At the same time, a consensus to the most extent by the group of experts are 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.

关 键 词：群决策 区间直觉模糊集 模糊判断矩阵 相似性 

分 类 号：O225[理学—运筹学与控制论]