基于动态符号距离的模糊多属性决策方法  

Fuzzy Multi-attribute Decision Making Method Based on Dynamic Signed Distance

作　　者：熊艳 叶国菊[1] 刘尉[1] 赵大方 李宁 XIONG Yan;YE Guoju;LIU Wei;ZHAO Dafang;LI Ning(School of Science,Hohai University,Nanjing 211100,China;不详)

机构地区：[1]河海大学理学院,江苏南京211100 [2]湖北师范大学数学与统计学院,湖北黄石435002 [3]火箭军装备部驻南京地区第二军事代表室,江苏南京210006

出　　处：《武汉理工大学学报（信息与管理工程版）》2022年第1期56-61,共6页Journal of Wuhan University of Technology：Information & Management Engineering

基　　金：江苏省自然科学基金项目(BK20180500);国家重点研发计划项目(2018YFC1508100).

摘　　要：为解决区间二型梯形模糊多属性决策问题,提出一种基于动态符号距离的决策方法。首先,在区间二型梯形模糊数的截集上,引入决策者的风险态度定义了动态符号距离,为区间二型梯形模糊数的排序提供了一种新方法。其次,在区间二型梯形模糊数空间上研究了动态符号距离的运算性质。最后,在属性权重完全未知的情形下,运用动态符号距离构建线性规划模型求解属性权重,依据方案的加权动态符号距离值进行排序,并通过实例验证了该方法的合理性,能够灵活处理不确定信息,且体现了决策者的风险态度对属性权重、决策结果的影响。A decision making method based on the dynamic signed distance is proposed for the interval type-2 trapezoidal fuzzy multi-attribute decision making problem.First,on the level sets of interval type-2 trapezoidal fuzzy numbers,the dynamic signed distance is defined by introducing the risk attitude of the decision maker,which provides a new method for the ranking of interval type-2 trapezoidal fuzzy numbers.Then,the operation properties of the dynamic signed distance are studied on the interval type-2 trapezoidal fuzzy numbers space.Finally,when the attribute weights are completely unknown,a linear programming model is constructed to solve the attribute weight by using the dynamic signed distance,and the ranking can be obtained according to the weighted dynamic signed distance value of the alternatives.The method can deal with the uncertain information flexibly,and it is applied to the investment problem.The result shows the rationality of the method and the influence of decision maker′s risk attitude on attribute weight and decision result.

关 键 词：区间二型梯形模糊数 动态符号距离 决策 风险态度 权重 

分 类 号：C934[经济管理—管理学]