基于改进得分函数的直觉梯形模糊数群体多属性决策方法

doi:10.12005/orms.2021.0112

运筹与管理 ›› 2021, Vol. 30 ›› Issue (4): 76-80.DOI: 10.12005/orms.2021.0112

基于改进得分函数的直觉梯形模糊数群体多属性决策方法

李鹏宇¹, 吴冲^1,2

哈尔滨工业大学经济与管理学院,黑龙江哈尔滨 150001

收稿日期:2019-11-29 出版日期:2021-04-25
作者简介:李鹏宇(1995-),女,黑龙江哈尔滨人,博士研究生,研究方向为跨平台消费者行为,模糊数学与多属性决策;吴冲(1971-),男,黑龙江哈尔滨人,教授,博士生导师,博士,研究方向为模糊数学,预测和决策分析。
基金资助:
国家自然科学基金资助项目(71771066)

An Intuitionistic Trapezoid Fuzzy Number Group Multiple Attribute Decision Making Method Based on Improved Score Function

LI Peng-yu¹, WU Chong¹

School of Economics and Management, Harbin Institute of Technology, Harbin 150001, China

Received:2019-11-29 Online:2021-04-25

摘要/Abstract

摘要： 为考虑群体多属性决策问题中决策人的风险偏好,在直觉梯形模糊数的基础上,利用连续区间有序加权平均算子对直觉梯形模糊数进行化简,使其转换成直觉模糊数。并基于此提出了一种全新的得分函数。从而得到了一种全新的群体多属性决策方法,将其应用于具体算例中,给出了该方法的具体步骤并证明了有效性。

关键词: 直觉模糊数, 直觉梯形模糊数, 改进的得分函数, 群体多属性决策

Abstract: In order to consider the risk preference of decision makers in group multi-attribute decision making, the intuitionistic trapezoidal fuzzy number is simplified by using ordered weighted average operator of continuous interval on the basis of intuitionistic trapezoid fuzzy number, which is transformed into intuitionistic fuzzy number. Based on this, a new scoring function is proposed. A new group multi-attribute decision-making method is obtained, which is applied to a specific example. The concrete steps of the method are given and the effectiveness of the method is proved.

Key words: intuitive fuzzy number, intuitive trapezoid fuzzy number, improved score function, group multiple attribute decision making

中图分类号:

C934

李鹏宇, 吴冲. 基于改进得分函数的直觉梯形模糊数群体多属性决策方法[J]. 运筹与管理, 2021, 30(4): 76-80.

LI Peng-yu, WU Chong. An Intuitionistic Trapezoid Fuzzy Number Group Multiple Attribute Decision Making Method Based on Improved Score Function[J]. Operations Research and Management Science, 2021, 30(4): 76-80.

参考文献

[1] Zadeh L A.Fuzzy sets[J].Information and control,1965,8(3):338-353.
[2] Atanassov K T.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1): 87-96.
[3] Atanassov K T.More on intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1989,33(1): 37-45.
[4] Atanassov K T.New operations defined over the intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1994,61(2): 137-142.
[5] Atanassov K T.Operators over interval-valued intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1994,64(2): 159-174.
[6] Bustince H,Burillo P.Vague Sets are Intuitionistic Fuzzy Sets[J].Fuzzy Sets and Systems,1996,79(3): 403-405.
[7] 王坚强,张忠.基于直觉梯形模糊数的信息不完全确定的多准则决策方法[J].控制与决策,2009,24(2):226-230.
[8] Nan J X,Li D F,Zhang M J.A lexicographic method for matrix games with payoffs of triangular intuitionistic fuzzy numbers[J].International Journal of Computational Intelligence Systems,2010,3(3): 280-289.
[9] Wang J Q,Zhang Z.Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multicriteria decision making problems[J].J of Systems Engineering and Electronics,2009,20(2): 321-326.
[10] 万树平,董九英.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.
[11] Ye J.Expected value method for intuitionistic trapezoidal fuzzy multicriteria decision-making problems[J].Expert Systems with Applications,2011,38(9): 11730-11734.
[12] 高岩,周德群,章玲.基于直觉梯形模糊数的关联变权多属性决策方法[J].系统工程,2011,29(5):102-107.
[13] Ronald Yager R.OWA aggregation over a continuous interval argument with applications to decision making[J].IEEE Transactions on Systems,Man,And Cybernetics,2004,34(5): 1952-1963.
[14] Chen S M,Tan J M.Handling multicriteria fuzzy decision-making problems based on vague set theory[J].Fuzzy Sets and Systems,1994,67(2): 163-172.
[15] Hua Wen Liu,Guo Jun Wang.Multi-criteria decision-making methods based on intuitionistic fuzzy sets[J].European Journal of Operational Research,2007,179(1): 220-233.
[16] 吴冲,刘千,万翔宇.基于改进得分函数的直觉模糊多属性决策方法[J].统计与信息论坛,2014,29(1):3-8.
[17] Xu Z S.Intuitionistic fuzzy aggregation operators[J].IEEE Transactions on Fuzzy Systems,2007,15: 1179-1187.
[18] Xu Z X.An Overview of methods for determing OWA weights[J].International Journal of Intelligent Systems,2005,20: 834-865.
[19] Dug Hun Hong,Chang Hwan Choi.Multicriteria fuzzy decision-making problems based on vague set theory[J].Fuzzy Sets and Systems,2000,114(1): 103-113.

基于改进得分函数的直觉梯形模糊数群体多属性决策方法

An Intuitionistic Trapezoid Fuzzy Number Group Multiple Attribute Decision Making Method Based on Improved Score Function

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