证据视角下考虑多参考点的直觉模糊多属性决策模型

doi:10.12005/orms.2019.0168

运筹与管理 ›› 2019, Vol. 28 ›› Issue (8): 1-9.DOI: 10.12005/orms.2019.0168

• 理论分析与方法探讨 • 下一篇

证据视角下考虑多参考点的直觉模糊多属性决策模型

陈晓红^1,2,3, 马智勇^1,3, 李喜华^1,3

1.中南大学商学院,湖南长沙 410083;
2.湖南商学院移动商务智能湖南省重点实验室,湖南长沙 410205;
3.两型社会与生态文明协同创新中心,湖南长沙 410083

收稿日期:2018-03-12 出版日期:2019-08-25
通讯作者: 李喜华(1982-),男,河南新乡人,副教授,博士,研究方向:决策分析、医疗决策。
作者简介:陈晓红(1963-),女,江西永新人,中国工程院院士,教授,博士生导师,博士,研究方向:两型社会、智能决策;马智勇(1993-),男,回族,云南大理人,硕士研究生,研究方向:智能决策、医疗决策;
基金资助:
国家自然科学基金重大项目(71790615);国家自然科学基金项目(71401184,71502178)

Intuitionistic Fuzzy Multi-attribute Decision Model Based onEvidence Perspective and Multi-reference Points

CHEN Xiao-hong^1,2,3, MA Zhi-yong^1,3, LI Xi-hua^1,3

1.School of Business, Central South University, Changsha 410083, China;
2.Key Laboratory of Hunan Province for Mobile Business Intelligence, Hunan University of Commerce, Changsha 410205, China;
3.Collaborative Innovation Center of Resource-conserving & Environment-friendly Society and Ecological Civilization, Changsha 410083, China

Received:2018-03-12 Online:2019-08-25

摘要/Abstract

摘要： 针对直觉模糊多属性决策中,决策者内心同时存在多个独立参考点并且各属性之间相互关联的问题,进一步考虑智能传感设备在决策中的参考作用,提出证据视角下考虑多参考点的直觉模糊多属性决策模型。模型首先利用证据理论融合各传感器数据,得到各状态的mass函数;其次,考虑决策者内心同时存在多个参考点,利用价值函数得到各状态下多参考点价值矩阵;进一步,针对属性间的关联性,利用模糊积分得到各状态下不同方案的综合评价值;再次,利用基于证据理论的直觉模糊诱导有序加权平均(DS-IFIOWA)算子将各状态下不同方案的综合评价值进行集结,得到方案的总评价值,并以此对方案进行排序和优选。最后,利用数值算例验证了模型的有效性和可行性。

关键词: 证据理论, 多参考点, 直觉模糊集, 模糊积分, 集结算子

Abstract: For the problem of multiple independent reference points and the correlation between attributes in intuitionistic fuzzy multiple attribute decision making, we consider the decision support function of intelligent sensing devices further and propose an intuitionistic fuzzy multiple attribute decision making model based on multiple independent reference points and evidence perspective. The proposed model firstly uses the evidence theory to fuse multiple sensor data and get the mass function of multiple decision states. Secondly, given multiple independent reference points, we use value function to get the value matrix based on multiple reference points in multiple decision states. Further, for the correlation between attributes, we use fuzzy integral to get the comprehensive evaluation value of alternatives in multiple decision states. Thirdly, in order to sort all the alternatives and select the best one, we use DS-IFIOWA operator to get the overall value based on the comprehensive evaluation value of alternatives in multiple decision states. Finally, numerical examples are used to verify the validity and feasibility of the model.

Key words: evidence theory, multiple reference points, intuitionistic fuzzy sets, fuzzy integral, aggregation operator

中图分类号:

C934

陈晓红, 马智勇, 李喜华. 证据视角下考虑多参考点的直觉模糊多属性决策模型[J]. 运筹与管理, 2019, 28(8): 1-9.

CHEN Xiao-hong, MA Zhi-yong, LI Xi-hua. Intuitionistic Fuzzy Multi-attribute Decision Model Based onEvidence Perspective and Multi-reference Points[J]. Operations Research and Management Science, 2019, 28(8): 1-9.

参考文献

[1] Atanassov K. Intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1986, 20(1): 87-96.
[2] Xu Z S. Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making[J]. Fuzzy Optimization & Decision Making, 2007, 6(2): 109-121.
[3] Chen S M, Cheng S H, Lan T C.A novel similarity measure between intuitionistic fuzzy sets based on the centroid points of transformed fuzzy numbers with applications to pattern recognition[J]. Information Sciences, 2016, 343-344: 15-40.
[4] 李鹏,朱建军,刘思峰.基于案例推理的直觉模糊决策方法[J].中国管理科学,2015,23(7):113-118.
[5] Govindan K, Khodaverdi R, Vafadarnikjoo A. Intuitionistic fuzzy based DEMATEL method for developing green practices and performances in a green supply chain[J]. Expert Systems with Applications, 2015, 42(20): 7207-7220.
[6] Kahneman D, Tversky A. Prospect theory: an analysis of decision under risk[J]. Econometrica, 1979, 47(2): 263-291.
[7] 张晓,樊治平.一种基于前景随机占优准则的随机多属性决策方法[J].控制与决策,2010,25(12):1875-1879.
[8] 刘云志,樊治平.基于前景理论的具有指标期望的多指标决策方法[J].控制与决策,2015,30(1):91-97.
[9] 胡军华,陈晓红,刘咏梅.基于语言评价和前景理论的多准则决策方法[J].控制与决策,2009,24(10):1477-1482.
[10] 李鹏,吴君民,朱建军.基于新直觉模糊距离的随机决策方法[J].系统工程理论与实践,2014,34(6):1517-1524.
[11] 包甜甜,谢新连,孟鹏鹏.基于前景理论和证据推理的混合直觉模糊决策[J].系统工程理论与实践,2017,37(2):460-468.
[12] Li X H, Chen X H. Value determination method based on multiple reference pointsunder a trapezoidal intuitionistic fuzzy environment[J]. Applied Soft Computing, 2018, 63: 39-49.
[13] Ordó ez L D, Connolly T, Coughlan R. Multiple reference points in satisfaction and fairness assessment[J]. Journal of Behavioral Decision Making, 2000, 13(3): 329-344.
[14] Tan C Q, Yi W T, Chen X H. Generalized intuitionistic fuzzy geometric aggregation operators and their application to multi-criteria decision making[J]. Journal of the Operational Research Society, 2015, 66(11): 1919-1938.
[15] Tan C Q, Chen X H. Generalized archimedean intuitionistic fuzzy averagingaggregation operators and their application tomulticriteria decision-making[J]. International Journal of Information Technology & Decision Making, 2016, 15(2): 311-352.
[16] Xu Z S, Zhao N. Information fusion for intuitionistic fuzzy decision making: an overview[J].Information Fusion, 2016, 28: 10-23.
[17] Jiang W, Wei B Y. Intuitionistic fuzzy evidential power aggregationoperator and its application in multiple criteria decision-making[J]. International Journal of SystemsScience, 2018, 49(3): 582-594.
[18] Kano P O, Brio M, Dostert P, Cain J. Dempster-shafer evidential theory for the automated selection ofparameters for Talbot’s method contours and application tomatrix exponentiation[J]. Computers and Mathematics with Applications, 2012, 63 (11): 1519-1535.
[19] 李喜华.基于前景理论的复杂大群体直觉模糊多属性决策方法[D].长沙:中南大学,2012.
[20] Dempster A P. Upper and lower probabilities induced by a multivalued mapping[J]. Annals of MathematicsStatistics, 1967, 38(2): 325-339.
[21] Zhang H Y, Zhou R, Wang J J, Chen X H. An FMCDM approach to purchasing decisionmakingbased on cloud model and prospect theoryin e-commerce[J]. International Journal of Computational Intelligence Systems, 2016, 9(4): 676-688.
[22] Ozdikis O, Ogˇuztüzün H, Karagoz P. Evidential estimation of event locations in microblogs using the dempster-shafer theory[J]. Information Processing and Management, 2016, 52(6): 1227-1246.
[23] 马茜,夏飞,张浩,等.改进D-S证据理论在电动汽车锂电池故障诊断中的应用[J].智能系统学报,2017,12(4):526-537.
[24] 袁杰,王福利,王姝,赵露平.基于D-S融合的混合专家知识系统故障诊断方法[J].自动化学报,2017,43(9):1580-1587.
[25] 张汉鹏,高春燕,马立娜.基于情感分析与证据理论的新产品在线竞争力测度方法及实证研究[J].系统管理学报,2016,25(1):150-155.
[26] 朱大奇,于盛林.基于D-S证据理论的数据融合算法及其在电路故障诊断中的应用[J].电子学报,2002,30(2):221-223.
[27] 李春好,李巍,李孟姣,等.目标导向多参考点属性价值模型及评价方法[J].中国管理学报,2017,25(7):163-175.
[28] 谭春桥,马本江,陈晓红.基于诱导Choquet积分算子的群决策方法[J].管理工程学报,2010,24(4):155-160.
[29] 李喜华,王傅强,陈晓红.基于证据理论的直觉梯形模糊IOWA算子及其应用[J].系统工程理论与实践,2016,36(11):2915-2923.

证据视角下考虑多参考点的直觉模糊多属性决策模型

Intuitionistic Fuzzy Multi-attribute Decision Model Based onEvidence Perspective and Multi-reference Points

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