基于I-IOWG算子集结的组合判断矩阵的相容性和一致性

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (9): 2137-2140.

基于I-IOWG算子集结的组合判断矩阵的相容性和一致性

陈华友, 陈诚

安徽大学数学科学学院, 安徽, 合肥, 230039

收稿日期:2008-07-15 修回日期:2009-03-30 出版日期:2009-09-20 发布日期:2010-01-03
作者简介:陈华友(1969- ),男,教授,博士,主要研究方向为运筹与管理、预测和决策分析.E-mail:huayouc@126.com
基金资助:
国家自然科学基金(70571001);安徽省自然科学基金(070416245);安徽教育厅省级教学研究项目(2007jyxm177);安徽省优秀青年科技基金(08040106835);安徽大学人才队伍建设基金资助课题

Research on compatibility and consistency of combination judgment matrices based on I-IOWG operators

CHEN Hua-you, CHEN Cheng

School of Mathematics Science, Anhui Univ., Hefei 230039, China

Received:2008-07-15 Revised:2009-03-30 Online:2009-09-20 Published:2010-01-03

摘要/Abstract

摘要： 在考虑专家重要性程度的基础上,提出一种新的基于重要性的诱导有序加权几何平均(I-IOWG)算子,并应用到专家给出的互反判断矩阵的群决策信息集结中。证明了基于I-IOWG算子集结的组合判断矩阵可以保持互反性的性质,研究了I-IOWG算子集结的组合判断矩阵的相容性、满意相容性以及相容性和一致性的关系。在每个专家给出的互反判断矩阵与其特征矩阵具有满意相容性的条件下,探讨了基于I-IOWG算子集结的组合判断矩阵与相应的特征矩阵能保持满意的相容性的性质。该研究表明在群组决策中使用I-IOWG信息集结算子是科学可行的。

Abstract: On the basis of considering the degree of importance of decision-making experts,the new importance based ordered weighting geometric(I-IOWG) averaging operators are proposed.They are applied to aggregate the judgment matrices information provided by the experts.It is proved that the combination judgment matrices aggregated by I-IOWG operator keep the reciprocal property.The compatibility,satisfactory compatibility and relations between compatibility and consistency of the combination judgment matrices based on I-IOWG operators are studied.Under the condition that each judgment matrix has the satisfactory compatibility with corresponding characteristic matrix,the property that the combination judgment matrix can keep the satisfactory compatibility is given.It shows that it is scientific and feasible to apply the I-IOWG operators to aggregate information in the group decision-making.

中图分类号:

O223

陈华友, 陈诚. 基于I-IOWG算子集结的组合判断矩阵的相容性和一致性[J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2137-2140.

CHEN Hua-you, CHEN Cheng. Research on compatibility and consistency of combination judgment matrices based on I-IOWG operators[J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2137-2140.

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