运筹与管理2018，Vol.27Issue(2)：26-31,6.DOI:10.12005/orms.2018.0031
蕴含权重的偏序集多准则决策法
Multi Criteria Decision Making Method of Poset with Weight
摘要
Abstract
In view of the partial order set method that can not solve the multi criteria decision problem which con-tains weight,this paper proposes a multi criteria decision making method with implicitly empowering weights. First it is expressed as a poset which contains n scheme and m criteria decision problem,then forms a new poset which containsm criterions according to the weight order.The poset relationships which contain each other prove that the new poset not only contains the weighted information,but also has a stronger ability of sorting.This way it only needs weight order without concrete weight in exercising,which is suitable for the multi criteria decision making problems whose weight is difficult to determine.This paper takes the Three Gorges reservoir water quality evaluation as an example,showing that the new method is superior to the original partial order set, and it can cluster and sort 13 schemes,but the original method is hardly applied to this example.关键词
偏序集/多准则决策/权重/评价集Key words
poset/multiple criteria decision making/weight/evaluation set分类
管理科学引用本文复制引用
岳立柱,张志杰,闫艳..蕴含权重的偏序集多准则决策法[J].运筹与管理,2018,27(2):26-31,6.基金项目
辽宁省教育厅基金(LJCR007,LJCR010) （LJCR007,LJCR010）
辽宁省社会科学规划基金(L15EJY00) （L15EJY00）
