基于CWPHM算子和C-DEMATEL的语言型多属性决策方法

doi:10.16381/j.cnki.issn1003-207x.2023.0903

Abstract

Abstract:

Multiple attribute decision-making is a very important area of research in normative decision theory. This topic has been widely developed and discussed. Considering that an expert may has vague knowledge about the preference degree of objective things， linguistic terms are often used for a decision maker as the evaluation information in some real-world multiple attribute decision-making problems. In the face of linguistic multiple attribute decision-making problems， there may exist the correlation relationships among attributes， the causal relationships among attributes， and the overall imbalances among attributes. In such situations， a new complex linguistic multiple attribute decision-making problem occurs. The new complex linguistic multiple attribute decision-making problem can be seen everywhere in real life， and it has attracted much attention from domestic and overseas experts over the last years. However， so far the methods that can solve the new complex linguistic multiple attribute decision-making problem are rare.In order to overcome this kind of deficiency， a new cloud weighted power Heronian mean （CWPHM） operator is defined and an improved cloud decision making trial and evaluation laboratory （C-DEMATEL） model is designed， and then it puts forward a novel linguistic multiple attribute decision-making method based on CWPHM operator and C-DEMATEL. First， the basic notion of CWPHM operator is defined， and some properties of CWPHM operator that include the commutativity， idempotency， boundary， and monotonicity are discussed. Then， the traditional DEMATEL method is improved， and the attribute weight determination method based on C-DEMATEL is investigated. Finally， the CWPHM operator and the attribute weight determination method based on C-DEMATEL are fused， which can obtain the comprehensive evaluation values of alternatives. A numerical example in regard to the enterprise talent selection is provided to verify the rationality and validity of the proposed method. It is shown that not only can this method consider the fuzziness and randomness of linguistic information， but this method can also consider the correlation relationships among attributes， the causal relationships among attributes， and the overall balance among attributes.The main contributions of this paper are reflected in the following three aspects　（1） The existing power Heronian mean operators are extended into cloud model decision-making environments， and then a new CWPHM operator is defined， which further expands the general applicability of the power Heronian mean operators. （2） The traditional DEMATEL method is improved to investigate a new attribute weight determination method based on C-DEMATEL， which is able to make the decision results more accurate. （3） The CWPHM operator and the C-DEMATEL model are fused to put forward a novel linguistic multiple attribute decision-making method， which can give some references for solving real-world complex linguistic multiple attribute decision-making problems.

Key words: multiple attribute decision making, cloud model, power operator, Heronian operator, DEMATEL

CLC Number:

C931

Weiming Wang,Haiyan Xu,Jianjun Zhu, et al. A Novel Linguistic Multiple Attribute Decision Making Method Based on CWPHM Operator and C-DEMATEL[J]. Chinese Journal of Management Science, 2026, 34(1): 94-103.

Figures/Tables 5

备选干部	$C 1$	$C 2$	$C 3$	$C 4$	$C 5$	$C 6$	$C 7$
$O 1$	极好	极差	很差	很好	很差	极好	一般
$O 2$	极好	极差	一般	极好	很好	很差	很差
$O 3$	极好	极好	极差	很差	很差	好	一般
$O 4$	极好	很差	极好	极好	很好	好	很好
$O 5$	很好	很好	很好	很好	很好	极好	一般

指标	$C 1$	$C 2$	$C 3$	$C 4$	$C 5$	$C 6$	$C 7$
$C 1$	极弱	极强	极强	很强	很强	极强	极弱
$C 2$	极强	极弱	极强	极强	很强	强	一般
$C 3$	极强	极强	极弱	很弱	很弱	强	一般
$C 4$	很强	极强	很弱	极弱	极弱	强	弱
$C 5$	一般	弱	弱	弱	极弱	强	很强
$C 6$	极弱	很弱	很弱	很弱	很弱	极弱	强
$C 7$	极弱	很弱	极弱	很弱	极弱	一般	极弱

备选干部	$C 1$	$C 2$	$C 3$	$C 4$	$C 5$	$C 6$	$C 7$
$O 1$	$(50,19.28,4.68)$	$(100,29.65,1.23)$	$(22.10,26.63,2.23)$	$(77.90,26.63,2.24)$	$(22.10,26.63,2.23)$	$(100,29.65,1.23)$	$(50,19.28,4.68)$
$O 2$	$(100,29.65,1.23)$	$(0,29.65,1.23)$	$(50,19.28,4.68)$	$(100,29.65,1.23)$	$(77.90,26.63,2.24)$	$(22.10,26.63,2.23)$	$(22.10,26.63,2.23)$
$O 3$	$(100,29.65,1.23)$	$(100,29.65,1.23)$	$(0,29.65,1.23)$	$(22.10,26.63,2.23)$	$(22.10,26.63,2.23)$	$(61.77,21.08,4.09)$	$(50,19.28,4.68)$
$O 4$	$(100,29.65,1.23)$	$(22.10,26.63,2.23)$	$(100,29.65,1.23)$	$(100,29.65,1.23)$	$(77.90,26.63,2.24)$	$(61.77,21.08,4.09)$	$(77.90,26.63,2.24)$
$O 5$	$(77.90,26.63,2.24)$	$(77.90,26.63,2.24)$	$(77.90,26.63,2.24)$	$(77.90,26.63,2.24)$	$(77.90,26.63,2.24)$	$(100,29.65,1.23)$	$(50,19.28,4.68)$

备选干部	$C 1$	$C 2$	$C 3$	$C 4$	$C 5$	$C 6$	$C 7$
$C 1$	$(100,29.65,1.23)$	$(0,29.65,1.23)$	$(100,29.65,1.23)$	$(77.90,26.63,2.24)$	$(77.90,26.63,2.24)$	$(100,29.65,1.23)$	$(0,29.65,1.23)$
$C 2$	$(100,29.65,1.23)$	$(0,29.65,1.23)$	$(100,29.65,1.23)$	$(100,29.65,1.23)$	$(77.90,26.63,2.24)$	$(61.77,21.08,4.09)$	$(50,19.28,4.68)$
$C 3$	$(100,29.65,1.23)$	$(100,29.65,1.23)$	$(0,29.65,1.23)$	$(22.10,26.63,2.23)$	$(22.10,26.63,2.23)$	$(61.77,21.08,4.09)$	$(50,19.28,4.68)$
$C 4$	$(77.90,26.63,2.24)$	$(100,29.65,1.23)$	$(22.10,26.63,2.23)$	$(0,29.65,1.23)$	$(0,29.65,1.23)$	$(61.77,21.08,4.09)$	$(38.23,21.08,4.09)$
$C 5$	$(50,19.28,4.68)$	$(38.23,21.08,4.09)$	$(38.23,21.08,4.09)$	$(38.23,21.08,4.09)$	$(0,29.65,1.23)$	$(61.77,21.08,4.09)$	$(77.90,26.63,2.24)$
$C 6$	$(0,29.65,1.23)$	$(22.10,26.63,2.23)$	$(22.10,26.63,2.23)$	$(22.10,26.63,2.23)$	$(22.10,26.63,2.23)$	$(0,29.65,1.23)$	$(61.77,21.08,4.09)$
$C 7$	$(0,29.65,1.23)$	$(22.10,26.63,2.23)$	$(0,29.65,1.23)$	$(22.10,26.63,2.23)$	$(0,29.65,1.23)$	$(50,19.28,4.68)$	$(0,29.65,1.23)$

备选干部	本文方法		LWAA算子		CWAA算子		CWPA算子		CWHM算子
备选干部	评价值	排序	评价值	排序	评价值	排序	评价值	排序	评价值	排序
$O 1$	38.520	4	$s 0.078$	5	36.163	4	36.048	5	35.024	4
$O 2$	38.389	5	$s 0.107$	4	36.090	5	39.419	4	35.018	5
$O 3$	43.048	3	$s 0.626$	3	41.706	3	44.239	3	40.906	3
$O 4$	54.226	1	$s 1.3620$	2	51.783	2	55.782	1	52.257	2
$O 5$	53.807	2	$s 1.461$	1	55.776	1	55.591	2	54.157	1

References 38

[1]	Xu Z S. Linguistic decision making： Theory and methods［M］. Beijing： Science Press， 2012.
[2]	Romero Á L， Rodríguez R M， Martínez L. Computing with comparative linguistic expressions and symbolic translation for decision making： ELICIT information［J］. IEEE Transactions on Fuzzy Systems， 2020， 28（10）： 2510-2522.
[3]	Babanezhad M， Behroyan I， Marjani A， et al. Artificial intelligence simulation of suspended sediment load with different membership functions of ANFIS［J］. Neural Computing and Applications， 2021， 33（12）： 6819-6833.
[4]	Labella Á， Dutta B， Martínez L. An optimal Best-Worst prioritization method under a 2-tuple linguistic environment in decision making［J］. Computers & Industrial Engineering， 2021， 155： 107141.
[5]	Wang W， Ding L， Liu X， et al. An interval 2-Tuple linguistic Fine-Kinney model for risk analysis based on extended ORESTE method with cumulative prospect theory［J］. Information Fusion， 2022， 78： 40-56.
[6]	Tang M， Liao H， Xu J， et al. Adaptive consensus reaching process with hybrid strategies for large-scale group decision making［J］. European Journal of Operational Research， 2020， 282（3）： 957-971.
[7]	Li C C， Gao Y， Dong Y. Managing ignorance elements and personalized individual semantics under incomplete linguistic distribution context in group decision making［J］. Group Decision and Negotiation， 2021， 30（1）： 97-118.
[8]	李德毅，孟海军，史雪梅. 隶属云和隶属云发生器［J］. 计算机研究与发展， 1995， 32（6）： 15-20.
	Li D Y， Meng H J， Shi X M. Membership clouds and membership cloud generators［J］. Journal of Computer Research and Development， 1995， 32（6）： 15-20.
[9]	Song W， Zhu J. A goal-reference-point decision-making method based on normal cloud model and its application in distribution network planning evaluation［J］. Information Sciences， 2021， 577： 883-898.
[10]	谭春桥，马本江. 基于语言Choquet积分算子的多属性群决策方法［J］. 系统工程与电子技术， 2010， 32（11）： 2352-2355.
	Tan C Q， Ma B J. Multi-attribute group decision making based on linguistic Choquet integral operator［J］. Systems Engineering and Electronics， 2010， 32（11）： 2352-2355.
[11]	Xu Y， Merigó J M， Wang H. Linguistic power aggregation operators and their application to multiple attribute group decision making［J］. Applied Mathematical Modelling， 2012， 36（11）： 5427-5444.
[12]	刘卫锋，常娟，杜迎雪. （语言）Heronian平均算子及其决策应用［J］. 中国管理科学，2017， 25（4）： 174-183.
	Liu W F， Chang J， Du Y X. （linguistic） heronian mean operators and applications in decision making［J］. Chinese Journal of Management Science， 2017， 25（4）： 174-183.
[13]	王伟明，徐海燕. 混合信息下的多属性大规模群体决策方法［J］.系统工程与电子技术，2020，42（11）： 2560-2569.
	Wang W M， Xu H Y. Multiple attribute large-scale group decision making method based on hybrid information［J］. Systems Engineering and Electronics， 2020， 42（11）： 2560-2569.
[14]	Zhao M， Wei G， Wu J， et al. TODIM method for multiple attribute group decision making based on cumulative prospect theory with 2-tuple linguistic neutrosophic sets［J］. International Journal of Intelligent Systems， 2021， 36（3）： 1199-1222.
[15]	田红，刘呈庆.中国旅游业高质量发展水平的测度与评估［J］.江西财经大学学报，2024（1）：37-53.
	Tian H， Liu C Q. Measurement and evaluation of the high-quality development level of China’s tourist industry［J］. Journal of Jiangxi University of Finance and Economics，2024（1）：37-53.
[16]	Dong Y， Xu Y， Li H， et al. A comparative study of the numerical scales and the prioritization methods in AHP［J］. European Journal of Operational Research， 2008， 186（1）： 229-242.
[17]	Pedrycz W， Song M. A granulation of linguistic information in AHP decision-making problems［J］. Information Fusion， 2014， 17： 93-101.
[18]	Luo S Z， Xing L N. A hybrid decision making framework for personnel selection using BWM， MABAC and PROMETHEE［J］. International Journal of Fuzzy Systems， 2019， 21（8）： 2421-2434.
[19]	Ijadi Maghsoodi A， Rasoulipanah H， Martínez López L， et al. Integrating interval-valued multi-granular 2-tuple linguistic BWM-CODAS approach with target-based attributes： Site selection for a construction project［J］. Computers & Industrial Engineering， 2020， 139： 106147.
[20]	张发明，王伟明. 基于后悔理论和DEMATEL的语言型多属性决策方法［J］. 中国管理科学， 2020， 28（6）： 201-210.
	Zhang F M， Wang W M. A new linguistic multiple attribute decision making method based on regret theory and DEMATEL［J］. Chinese Journal of Management Science， 2020， 28（6）： 201-210.
[21]	Jiang S， Shi H， Lin W， et al. A large group linguistic Z-DEMATEL approach for identifying key performance indicators in hospital performance management［J］. Applied Soft Computing， 2020， 86： 105900.
[22]	Wu C， Lin Y， Barnes D. An integrated decision-making approach for sustainable supplier selection in the chemical industry［J］. Expert Systems with Applications， 2021， 184： 115553.
[23]	Wang X K， Wang S H， Zhang H Y， et al. The recommendation method for hotel selection under traveller preference characteristics： A cloud-based multi-criteria group decision support model［J］. Group Decision and Negotiation， 2021， 30（6）： 1433-1469.
[24]	Peng H G， Zhang H Y， Wang J Q. Cloud decision support model for selecting hotels on TripAdvisor.com with probabilistic linguistic information［J］. International Journal of Hospitality Management， 2018， 68： 124-138.
[25]	Yang Z， Lin M， Li Y， et al. Assessment and selection of smart agriculture solutions using an information error-based Pythagorean fuzzy cloud algorithm［J］. International Journal of Intelligent Systems， 2021， 36（11）： 6387-6418.
[26]	Jia Q， Hu J， He Q， et al. A multicriteria group decision-making method based on AIVIFSs， Z-numbers， and trapezium clouds［J］. Information Sciences， 2021， 566： 38-56.
[27]	Wang X K， Wang Y T， Zhang H Y， et al. An asymmetric trapezoidal cloud-based linguistic group decision-making method under unbalanced linguistic distribution assessments［J］. Computers & Industrial Engineering， 2021， 160： 107457.
[28]	Liu P. Multiple attribute group decision making method based on interval-valued intuitionistic fuzzy power Heronian aggregation operators［J］. Computers & Industrial Engineering， 2017， 108： 199-212.
[29]	施明华，肖庆宪. 直觉模糊幂Heronian平均算子及其在多属性决策中的应用［J］. 系统工程理论与实践， 2018， 38（4）： 971-982.
	Shi M H， Xiao Q X. Intuitionistic fuzzy power HM operators and their application to multiple attribute decision making［J］. Systems Engineering-Theory & Practice， 2018， 38（4）： 971-982.
[30]	Deveci M， Pamucar D， Gokasar I. Fuzzy Power Heronian function based CoCoSo method for the advantage prioritization of autonomous vehicles in real-time traffic management［J］. Sustainable Cities and Society， 2021， 69： 102846.
[31]	Fahmi A， Maqbool Z， Amin F， et al. Web applications for multiuser interaction based on power Heronian aggregation operators［J］. Soft Computing， 2022， 26（10）： 4553-4573.
[32]	王伟明，徐海燕，朱建军. 区间信息下的大规模群体DEMATEL决策方法［J］. 系统工程理论与实践， 2021， 41（6）： 1585-1597.
	Wang W M， Xu H Y， Zhu J J. Large-scale group DEMATEL decision making method under interval information［J］. Systems Engineering-Theory & Practice， 2021， 41（6）： 1585-1597.
[33]	王伟明，徐海燕. 不确定语言信息下的大规模群体DEMATEL决策方法［J］. 控制与决策， 2021， 36（8）： 2023-2033.
	Wang W M， Xu H Y. Large-scale group DEMATEL decision making method under uncertain linguistic information［J］. Control and Decision， 2021， 36（8）： 2023-2033.
[34]	Chen Y， Ran Y， Huang G， et al. A new integrated MCDM approach for improving QFD based on DEMATEL and extended MULTIMOORA under uncertainty environment［J］. Applied Soft Computing， 2021， 105： 107222.
[35]	Wang J Q， Peng L， Zhang H Y， et al. Method of multi-criteria group decision-making based on cloud aggregation operators with linguistic information［J］. Information Sciences， 2014， 274： 177-191.
[36]	鲍广宇，连向磊，何明，等. 基于新型语言评估标度的二元语义改进模型［J］. 控制与决策， 2010， 25（5）： 780-784.
	Bao G Y， Lian X L， He M， et al. Improved two-tuple linguistic representation model based on new linguistic evaluation scale［J］. Control and Decision， 2010， 25（5）： 780-784.
[37]	王坚强，杨恶恶. 基于蒙特卡罗模拟的直觉正态云多准则群决策方法［J］. 系统工程理论与实践， 2013， 33（11）： 2859-2865.
	Wang J Q， Yang W E. Multiple criteria group decision making method based on intuitionistic normal cloud by Monte Carlo simulation［J］. Systems Engineering-Theory & Practice， 2013， 33（11）： 2859-2865.
[38]	王坚强，刘淘. 基于综合云的不确定语言多准则群决策方法［J］. 控制与决策， 2012， 27（8）： 1185-1190.
	Wang J Q， Liu T. Uncertain linguistic multi-criteria group decision-making approach based on integrated cloud［J］. Control and Decision， 2012， 27（8）： 1185-1190.

A Novel Linguistic Multiple Attribute Decision Making Method Based on CWPHM Operator and C-DEMATEL

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 5

References 38

Related Articles 15

Metrics

Comments

Recommended 0

[1]	Faming Zhang, Jiangtao Han, Linqian Zhang, Shuqi Zhu. Multi-Attribute Large Group Decision Making Method Based on T₂PLD Operator in Social Trust Network [J]. Chinese Journal of Management Science, 2025, 33(9): 177-188.
[2]	Wei-jian JIN,Hao XU,Chuan-feng HUANG,Cheng-zhi JIANG. Research on Emergency Management Decision of Large-scale Epidemic Based on Prospect Theory [J]. Chinese Journal of Management Science, 2023, 31(10): 225-233.
[3]	QU Guo-hua, WANG Bin-yu, QU Wei-hua, XU Ze-shui, ZHANG Qiang. A Multiple-attribute Decision-making Method Based on the Dual Hesitant Fuzzy Geometric Heronian Means Operator and Its Application [J]. Chinese Journal of Management Science, 2022, 30(11): 216-228.
[4]	SUO Wei-lan, ZHANG Jin. Study on Identification of Financing Risks for Transport Infrastructure Construction under a Pluralistic Integrated Mode [J]. Chinese Journal of Management Science, 2022, 30(10): 25-34.
[5]	HAN Wei, SUN Yong-he, MIAO Bin. A Group DEMATEL Decision-making Method with Incomplete Judgment Information [J]. Chinese Journal of Management Science, 2021, 29(5): 231-239.
[6]	WANG Wei-ming, DENG Xiao, XU Hai-yan. A New Index Weights Calculation Method of Group DEMATEL Based on Three-dimensional Density Operator [J]. Chinese Journal of Management Science, 2021, 29(12): 179-190.
[7]	LI Peng, SHEN Zhi-jie. Pythagorean Fuzzy Uncertain Linguistic Decision Making Method Based on Heronian Mean Operator [J]. Chinese Journal of Management Science, 2021, 29(1): 217-225.
[8]	ZHANG Fa-ming, WANG Wei-ming. A New Linguistic Multiple Attribute Decision Making Method Based on Regret Theory and DEMATEL [J]. Chinese Journal of Management Science, 2020, 28(6): 201-210.
[9]	GONG Ri-zhao, LIU Yu-xi, PAN Fen-ping. DEA Super Efficiency Evaluation Model with Weight Constraints and Its Application [J]. Chinese Journal of Management Science, 2020, 28(4): 164-173.
[10]	ZHANG Yao, SUN Meng-yang, GUAN Xin. Method of Selecting Project Risk Response Strategies Considering Total Risk Interdependence [J]. Chinese Journal of Management Science, 2020, 28(1): 32-44.
[11]	LI Chun-hao, LI Meng-jiao, TIAN Shuo. Sandwich Measurement Pattern on Attribute-set Capacity Determination and Its Corresponding Capacity Calculation Model [J]. Chinese Journal of Management Science, 2018, 26(3): 117-125.
[12]	LIU Kai-ning, FAN Zhi-ping, LI Yong-hai, DAI Xiang-quan. A Method for Selecting Enterprise Business Model in the View of the Value Chain [J]. Chinese Journal of Management Science, 2017, 25(1): 170-180.
[13]	DING Tao, LIANG Liang. A New Multiple Attribute Decision Making Method Based on Dominance Relation and Ranking Stability [J]. Chinese Journal of Management Science, 2016, 24(8): 132-138.
[14]	LIU De-hai. Performance Evaluation Two-tuple Linguistic Model in Emergency Management of Mass Incident Based Maximal Deviation Principle [J]. Chinese Journal of Management Science, 2016, 24(4): 138-147.
[15]	SUN Yong-he, DUAN Wan-chun, LI Ya-qun, XIE Hui. A Construction Method of Spatial Network of ANP-BOCR for Complex Systems [J]. Chinese Journal of Management Science, 2016, 24(2): 144-152.