叶帆,叶永

• 1:温州商学院
• 2:温州医科大学

摘要(Abstract)：

针对属性权重信息不完全且属性取值为精确数、语言标度、区间数、直觉模糊数、区间直觉模糊数的混合型多属性决策问题,根据五种不同形式的属性值规范化定义,建立每种形式下属性值之间的相关系数。基于偏爱程度的加权平均(PDWA)算子和逼近理想解(TOPSIS)法构建单目标最优化模型求出各属性的权重,通过对属性值和属性权重的线性集结,得到排序结果。最后通过数值算例,验证了该方法的可行性和操作性。

关键词(KeyWords)： 混合型多属性决策;不完全权重;偏爱程度的加权平均算子;逼近理想解法;相关系数;单目标最优化模型

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金青年项目资助(71601146);; 浙江省高等教育课堂教学改革项目资助(kg20160541);; 温州市科技局公益性软科学项目(R20170009)~~

作者(Author): 叶帆,叶永

DOI: 10.16652/j.issn.1004-373x.2018.06.038

参考文献(References)：

• [1]YANG J B,SEN P.A general multi-level evaluation process for hybrid MADM with uncertainty[J].IEEE transaction on systems,man and cybernetics,1994,24(10):1458-1473.
• [2]张琦,程培源,程月蒙.一种基于混合多属性的VIKOR群决策方法[J].测控技术,2017,36(6):136-141.ZHANG Qi,CHENG Peiyuan,CHENG Yuemeng.A group decision making method based on mixed multi-attribute and VIKOR[J].Measurement and control technology,2017,36(6):136-141.
• [3]许成磊,段万春,孙永河.多属性群决策的混合结构偏好识别与融合方法[J].中国管理科学,2016,24(8):139-145.XU Chenglei,DUAN Wanchun,SUN Yonghe.The recognition and integration method to composite structure preference of multi-attribute group decision making[J].Chinese journal of management science,2016,24(8):139-145.
• [4]罗党,李诗.基于“离合”思想的混合型灰色多属性决策方法[J].控制与决策,2016,31(7):1305-1310.LUO Dang,LI Shi.Hybrid grey multiple attribute decisionmaking method based on"clutch"thought[J].Control and decision,2016,31(7):1305-1310.
• [5]徐选华,蔡晨光,梁栋.基于混合多属性信息的复杂多阶段决策方法[J].系统工程与电子技术,2015,37(10):2315-2321.XU Xuanhua,CAI Chenguang,LIANG Dong.Complex multistage decision making method based on mixed multi-attribute information[J].Journal of systems engineering and electronics,2015,37(10):2315-2321.
• [6]YU X,XU Z,CHEN Q.A method based on preference degrees for handling hybrid multiple attribute decision making problems[J].Expert systems with applications,2011,38(4):3147-3154.
• [7]HWANG C L,YOON K.Fuzzy multiple attribute decision making:methods and applications[M].Berlin:Springer,1981.
• [8]ZHANG Huimin,YU Liying.MADM method based on crossentropy and extended TOPSIS with interval-valued intuitionistic fuzzy sets[J].Knowledge-based systems,2012,30(2):115-120.
• [9]JOSHI D,KUMAR S.Interval-valued intuitionistic hesitant fuzzy Choquet integral based TOPSIS method for multi-criteria group decision making[J].European journal of operational research,2016,248(1):183-191.
• [10]WANG C Y,CHEN S M.Multiple attribute decision making based on interval-valued intuitionistic fuzzy sets,linear programming methodology,and the extended TOPSIS method[J].Information sciences,2017,397/398:155-167.
• [11]PARK J H,PARK I Y,KWUN Y C,et al.Extension of the TOPSIS method for decision making problems under intervalvalued intuitionistic fuzzy environment[J].Applied mathematical modelling,2011,35(5):2544-2556.
• [12]叶帆,应祖备,吴治平.不完全信息下的区间直觉模糊数的多属性决策方法[J].应用数学与计算数学学报,2010,24(1):70-75.YE Fan,YING Zubei,WU Zhiping.A multi-criteria decisionmaking method for interval-valued intuitionistic Fuzzy sets with incomplete attribute weights[J].Communication on applied mathematics and computation,2010,24(1):70-75.
• [13]PARK G P,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.
• [14]徐泽水.区间直觉模糊信息的集成方法及其在决策中的应用[J].控制与决策,2007,22(2):215-219.XU Zeshui.Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making[J].Control and decision,2007,22(2):215-219.