计算机工程2016,Vol.42Issue(12):156-163,8.DOI:10.3969/j.issn.1000-3428.2016.12.028
基于优化模型的乘性偏好关系一致性改进算法
Consistency Improving Algorithm for Multiplicative Preference Relation Based on Optimization Model
摘要
Abstract
In view of the decision making problems with multiplicative preference information,the order consistency,acceptable consistency and consistency index of multiplicative preference relation are introduced.An optimization model is developed with the principle of minimum non-negative deviation variables.An algorithm to derive the ranking of alternatives in decision making is investigated based on the consistency of multiplicative preference relation.The main characteristics of the proposed algorithm are that:It helps decision makers make decision quickly and efficiently by using the properties of the order consistent multiplicative preference relation.It repairs the consistency of multiplicative preference relation by using the optimal deviation values and ensures that the repaired multiplicative preference relation is acceptable consistent.The priority weight vector is obtained,and it helps the decision maker to obtain the reasonable and reliable decision making results.A practical application to selection of comprehensive replenishment ship is demonstrated to show the rationality and effectiveness of the proposed algorithm.关键词
乘性偏好关系/有序一致性/一致性指数/优化模型/决策方法Key words
multiplicative preference relation/order consistency/consistency index/optimization model/decision making method分类
信息技术与安全科学引用本文复制引用
丁宪成..基于优化模型的乘性偏好关系一致性改进算法[J].计算机工程,2016,42(12):156-163,8.基金项目
国家自然科学基金"微博热点话题传播模型与可视化研究"(61272367). (61272367)