基于梯形直觉模糊数的动态多准则群决策方法

详细信息    查看全文 | 推荐本文 |

英文篇名：Dynamic Multi- criteria Group Decision-making Method Based on Trapezoid Intuitionistic Fuzzy Number 作者：王丽丽 ; 聂飞 ; 严雅榕 ; 任战国 英文作者：WANG Li-li;NIE Fei;YAN Ya-rong;REN Zhan-guo;Equipment Management and Safety Engineering College,Air Force Engineering University; 关键词：梯形直觉模糊数 ; 得分函数 ; 相关系数 ; 动态决策 英文关键词：trapezoid intuitionistic fuzzy number;;score function;;correlation coefficient;;dynamic decision-making 中文刊名：HLYZ 英文刊名：Fire Control & Command Control 机构：空军工程大学装备管理与安全工程学院; 出版日期：2016-08-15 出版单位：火力与指挥控制 年：2016 期：v.41;No.257 基金：国家自然科学基金资助项目(71401174) 语种：中文; 页：HLYZ201608018 页数：4 CN：08 ISSN：14-1138/TJ 分类号：84-87

摘要

针对决策信息为梯形直觉模糊数的多准则决策问题,引入含参得分函数和相关系数提出了一种动态多准则群决策方法,首先利用参照方案相关系数总偏差最小的非线性规划模型求解客观准则权重,通过参数因子转化犹豫度集结得到各方案综合得分函数,最后根据参数动态变化进行MATLAB仿真分析并排序。该方法适用于准则权重已知和未知的情形,弥补了犹豫度缺失和基于距离测度决策方法的缺陷,并通过航空装备保障合同商的选择决策实例验证了有效性。
        For the trapezoid intuitionistic fuzzy number decision-making problem,a dynamic multi-criteria group decision-making method based on score function contained transformation parameters and correlation coefficient is proposed.Firstly,the dynamic criteria weights are obtained though a non-linear programming model based on the maximization of the correlation coefficient between each alternative and the ideal alternative.And comprehensive values can be obtained by the parameter factors on the hesitancy degree.Finally the ranking results are revealed though MATLAB simulation analysis according to the dynamic variety of parameters.The method is applied to some situations weights are known or unknown,supplementing the insufficiency of lacking hesitancy degree and the method based on distance measure,providing a new theory reference and technical support for the Aviation Materiel Support contractor selection decision-making.

引文

[1]ATANASSOV K T.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96.
    [2]ATANASSOV K T,GARGOV G.Interval-valued intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1989,31(3):343-349.
    [3]罗承昆,陈云翔,王超,等.基于改进证据理论的区间直觉模糊群决策方法[J].计算机仿真,2015,32(10):282-286.
    [4]刘峰,袁学海.模糊数直觉模糊集[J].模糊系统与数学,2007,21(1):88-91.
    [5]ZHANG X,LIU P D.Method for aggregating triangular fuzzy intuitionistic fuzzy information and it’s application to decision making[J].Technological and Economic Development of Economy,2010,16(2):280-290.
    [6]刘培德,左甲.梯形直觉模糊数集成算子及在决策中的应用研究[J].模糊系统与数学,2012,26(3):127-138.
    [7]陈晓红,李喜华.基于直觉梯形模糊TOPSIS的多属性群决策方法[J].控制与决策,2013,28(9):1377-1381.
    [8]王坚强,张忠.基于直觉模糊数的信息不完全的多准则规划方法[J].控制与决策,2008,23(10):1145-1148.
    [9]万树平,董久英.多属性群决策的直觉梯形模糊数法[J].控制与决策,2010,25(5):773-776.
    [10]万树平.基于分式规划的区间梯形直觉模糊数多属性决策方法[J].控制与决策,2012,27(3):455-458.
    [11]吴婉莹,陈华友,周礼刚.区间值对偶犹豫模糊集的相关系数及其应用[J].计算机工程与应用,2015,51(17):140-144.
    [12]PARK D G,KWUN Y C,PARK J H,et al.Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems[J].Mathematical and Computer Modelling,2009,50(9/10):1279-1293.
    [13]袁宇,关涛,闫相斌,等.基于区间直觉模糊数相关系数的多准则决策模型[J].管理科学学报,2014,17(4):11-16.
    [14]党伟,车飞.基于模糊数的装备保障合同商选择决策方法[J].火力与指挥控制,2013,38(12):39-47.