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基于最小偏差和优势度的区间数互补判断矩阵排序法

周宏安

运筹与管理Issue(2):125-128,4.
运筹与管理Issue(2):125-128,4.

基于最小偏差和优势度的区间数互补判断矩阵排序法

Ranking Method Based on the Least Deviation and Relative Preponderant Degree for Interval Numbers Complementary Judgment Matrix

周宏安1

作者信息

  • 1. 陕西理工学院 数学系,陕西 汉中 723001
  • 折叠

摘要

Abstract

With regard to the multi-objective decision-making problems, in which the preference information pro-vided by the decision maker takes the form of interval numbers complementary judgment matrix .Firstly, the con-cept of relative preponderant degree and theorem of interval numbers additive consistent complementary judgment matrix are presented.Then, an objective programming model is established and the weighted vector of the inter -val numbers complementary judgment matrix is obtained by solving the model .The alternatives are ranked by u-sing the total relative superiority of every weighted vector .A ranking method based on the least deviation and rel -ative preponderant degree for interval numbers complementary judgment matrix is proposed .The core of this method is development of the ranking method of numerical complementary judgment matrix .Finally, a practical example is illustrated to show the feasibility and availability of the developed method .

关键词

多目标决策/区间数加性一致性互补判断矩阵/最小偏差/优势度/排序

Key words

multi-objective decision-making/interval numbers additive consistent complement -ary judgment matrix/least deviation/preponderant degree/priority

分类

管理科学

引用本文复制引用

周宏安..基于最小偏差和优势度的区间数互补判断矩阵排序法[J].运筹与管理,2013,(2):125-128,4.

基金项目

国家自然科学自然基金资助项目(60703118);陕西省教育厅自然科学研究基金资助项目(10JK472,11JK0501);陕西理工学院人才启动基金资助项目 ()

运筹与管理

OA北大核心CHSSCDCSCDCSSCICSTPCD

1007-3221

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