基于前景ITFNCI算子的群体MULTIMOORA决策方法  

Approach for group MULTIMOORA decision making based upon prospect intuitionistic trapezoidal fuzzy number Choquet integral operator

作　　者：陈振颂 李延来[1,2] 

机构地区：[1]西南交通大学交通运输与物流学院,成都610031 [2]西南交通大学综合交通运输智能化国家地方联合工程实验室,成都610031

出　　处：《控制与决策》2014年第6期1053-1063,共11页Control and Decision

基　　金：国家自然科学基金项目(70971017;71371156);西南交通大学优秀博士学位论文培育项目

摘　　要：利用进一步完善的直觉梯形模糊数运算法则,提出基于模糊测度和Choquet积分的直觉梯形模糊数的信息集成算子,并证明了该集成算子的相关性质.根据前景理论定义直觉梯形模糊前景效应和前景价值函数,构造前景ITFNCI算子.针对多方参与且决策者信息关联的多属性群决策问题,利用前景ITFNCI算子集结群体直觉梯形前景价值函数,进而采用MULTIMOORA理论进行方案比选,基于优势理论获得方案的综合排序以确定最优方案.案例分析表明了所提出方法的可行性和有效性.According to the proposed improved operational laws of intuitionistic trapezoidal fuzzy number（ITFN）, an aggregation operator of ITFN is proposed based on fuzzy measure and ITFN Choquet integral（ITFNCI）, and the relative properties of the aggregation operator are also proposed and investigated. A prospect effect and a prospect value function of ITFN are defined based on the prospect theory, and then a prospect ITFNCI operator is constructed. With respect to a multiple attribute group decision making problem considering interactions among decision-makers, the prospect value functions of ITFNs are aggregated by using the prospect ITFNCI operator; a MULTIMOORA theory is employed to obtain a ranking of alternatives corresponding to each ordering approach; a Dominance theory is then utilized to summarize the three rankings into a single one. Finally, a practical example is introduced to show the feasibility and effectiveness of the proposed approach.

关 键 词：前景理论 直觉梯形模糊数 ITFNCI算子 全乘比例分析多目标优化方法 

分 类 号：C934[经济管理—管理学]