基于指数型模糊数的多属性决策模型及其应用  

Multiple attributes decision-making model based on exponential type fuzzy numbers and its application

作　　者：陈霄[1] 

机构地区：[1]广东青年职业学院,广州510507

出　　处：《计算机工程与应用》2013年第15期116-118,132,共4页Computer Engineering and Applications

基　　金：广东省教育部产学研重点项目(No.2011A090200068);广东省自然科学基金(No.9151009001000043);广东青年职业学院2012-2014年度立项课题(No.YB201204)

摘　　要：针对模糊多属性决策问题,给出一种基于指数型模糊数的多属性决策模型。一方面,通过定义指数型模糊数的期望,以实现属性权重向量的解模糊化处理;另一方面,根据三元区间数理论和指数型模糊数的截集信息,定义指数型模糊数上一种新的距离度量,以计算各备选方案与正、负理想方案之间的距离。根据模糊理想点思想,基于指数型模糊数的期望和距离的定义,给出一种指数型模糊数上的Topsis多属性决策方法。将该模型应用于一个具体实例,其结果证实了该方法的有效性。A multiple attributes decision-making model based on exponential type fuzzy numbers is presented to solve the fuzzy multiple attribute decision-making problem. On the one hand, by defining the expected value of exponential type fuzzy numbers, the defuzzification processing of weight vector of attributes is achieved; on the other hand, according to the theory of interval numbers of three elements and the information of the cut sets with exponential type fuzzy numbers, a new distance measure between exponential type fuzzy numbers is defined to calculate the distance between every scheme and ideal scheme. Based on the definitions of the expected value and the distance measure, the multiple attribute Topsis decision making method on exponential type fuzzy numbers is proposed by fuzzy ideal point. An example is provided to verify the effectiveness of the proposed methods.

关 键 词：模糊多属性决策 指数型模糊数 模糊理想点 期望 距离 

分 类 号：O235[理学—运筹学与控制论] C934[理学—数学]