A mixed 0-1 programming approach for multiple attribute strategic weight manipulation based on uncertainty theory

被引:18
作者
Ji, Ying [1 ]
Jin, Xiaowan [2 ]
Xu, Zeshui [3 ]
Qu, Shaojian [4 ]
机构
[1] Shanghai Univ, Business Sch, Shanghai, Peoples R China
[2] Univ Shanghai Sci & Technol, Business Sch, Shanghai, Peoples R China
[3] Sichuan Univ, Business Sch, Chengdu, Peoples R China
[4] Nanjing Univ Informat Sci & Technol, Sch Econ & Management, Nanjing, Peoples R China
关键词
Multiple attribute decision making; strategic weight manipulation; uncertainty theory; ranking range; belief degree; MULTICRITERIA DECISION-SUPPORT; LINGUISTIC TERM SETS; MODEL;
D O I
10.3233/JIFS-210650
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In practical multiple attribute decision making (MADM) problems, the interest groups or individuals intentionally set attribute weights to achieve their own benefits. In this case, the rankings of different alternatives are changed strategically, which is called the strategic weight manipulation in MADM. Sometimes, the attribute values are given with imprecise forms. Several theories and methods have been developed to deal with uncertainty, such as probability theory, interval values, intuitionistic fuzzy sets, hesitant fuzzy sets, etc. In this paper, we study the strategic weight manipulation based on the belief degree of uncertainty theory, with uncertain attribute values obeying linear uncertain distributions. It allows the attribute values to be considered as a whole in the operation process. A series of mixed 0-1 programming models are constructed to set a strategic weight vector for a desired ranking of a particular alternative. Finally, an example based on the assessment of the performance of COVID-19 vaccines illustrates the validity of the proposed models. Comparison analysis shows that, compared to the deterministic case, it is easier to manipulate attribute weights when the attribute values obey the linear uncertain distribution. And a further comparative analysis highlights the performance of different aggregation operators in defending against the strategic manipulation, and highlights the impacts on ranking range under different belief degrees.
引用
收藏
页码:6739 / 6754
页数:16
相关论文
共 40 条
[1]   Recent progress and challenges in drug development against COVID-19 coronavirus (SARS-CoV-2)-an update on the status [J].
Abd El-Aziz, Tarek Mohamed ;
Stockand, James D. .
INFECTION GENETICS AND EVOLUTION, 2020, 83
[2]   Comparisons of probabilistic linguistic term sets for multi-criteria decision making [J].
Bai, Chengzu ;
Zhang, Ren ;
Qian, Longxia ;
Wu, Yaning .
KNOWLEDGE-BASED SYSTEMS, 2017, 119 :284-291
[3]   Soft consensus measures in group decision making using unbalanced fuzzy linguistic information [J].
Cabrerizo, F. J. ;
Al-Hmouz, R. ;
Morfeq, A. ;
Balamash, A. S. ;
Martinez, M. A. ;
Herrera-Viedma, E. .
SOFT COMPUTING, 2017, 21 (11) :3037-3050
[4]  
Caha J, 2014, LECT NOTES COMPUT SC, V8480, P145
[5]   Epidemiological and clinical characteristics of 99 cases of 2019 novel coronavirus pneumonia in Wuhan, China: a descriptive study [J].
Chen, Nanshan ;
Zhou, Min ;
Dong, Xuan ;
Qu, Jieming ;
Gong, Fengyun ;
Han, Yang ;
Qiu, Yang ;
Wang, Jingli ;
Liu, Ying ;
Wei, Yuan ;
Xia, Jia'an ;
Yu, Ting ;
Zhang, Xinxin ;
Zhang, Li .
LANCET, 2020, 395 (10223) :507-513
[6]   An interval-valued intuitionistic fuzzy permutation method with likelihood-based preference functions and its application to multiple criteria decision analysis [J].
Chen, Ting-Yu .
APPLIED SOFT COMPUTING, 2016, 42 :390-409
[7]   Augmenting Ordinal Methods of Attribute Weight Approximation [J].
Danielson, Mats ;
Ekenberg, Love ;
He, Ying .
DECISION ANALYSIS, 2014, 11 (01) :21-26
[8]   Strategic weight manipulation in multiple attribute decision making [J].
Dong, Yucheng ;
Liu, Yating ;
Liang, Haiming ;
Chiclana, Francisco ;
Herrera-Viedma, Enrique .
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 2018, 75 :154-164
[9]   Modeling uncertainty in multi-criteria decision analysis [J].
Durbach, Ian N. ;
Stewart, Theodor J. .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2012, 223 (01) :1-14
[10]   Multi-criteria decision support and evaluation of strategies for nuclear remediation management [J].
Geldermann, Jutta ;
Bertsch, Valentin ;
Treitz, Martin ;
French, Simon ;
Papamichail, Konstantinia N. ;
Hamalainen, Raimo P. .
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 2009, 37 (01) :238-251