基于离差平方和的多准则决策模型及算法研究  

Study on Model and Algorithm based on the Minimum Sum of Deviation Squares for Multi-Criteria Decision-Making

作　　者：周宏安[1] 

机构地区：[1]西安工业大学理学院,陕西西安710021

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2015年第6期725-728,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：陕西省自然科学基金资助项目(2015JQ1007)

摘　　要：针对权重未知且对方案有效用偏好信息的多准则决策问题,利用主观与客观的决策信息的偏差平方和最小建立了优化模型.通过求解该模型,给出解的存在性条件和准则权重计算公式,进而利用加性加权法得到各方案的综合值,并以此对方案排序.最后,通过实例验证了模型及方法的有效性.With regard to the multi-criteria decision making problems that the criteria weights are unknown and the decision maker has avail preference information on alternatives. Firstly, an optimization model is established by using the minimum sum of deviation squares between the subjective and objective decision-making information on alternatives. Secondly,the existent condition of solution and the calculated formula of the criteria weights are given by solving the model, thus the overall values of the alternatives are gained by using the additive weighting method. Based on these values, the ranking priorities on alternatives are processed. Finally, a practical example is illustrated to show the feasibility and availability of the developed model and method.

关 键 词：多准则决策 二次规划 模型 算法 排序 

分 类 号：O223[理学—运筹学与控制论] C934[理学—数学]