Decision making with incomplete interval multiplicative preference relations based on stochastic program and interval category
作者： Jiuying Dong , Shuping Wan , Huwei Yuan
DOI: 10.1016/J.INS.2021.03.005
关键词:
摘要: Abstract Interval multiplicative preference relations (IMPRs) have been widely used in decision making for their ability to efficiently express the uncertainty of information. This paper investigates with incomplete IMPRs. First, a new consistency index IMPR is defined. By minimizing index, missing values an can be estimated. Subsequently, considering risk attitude decision-makers (DMs), two optimization models are constructed obtain most pessimistic and optimistic acceptably consistent IMPRs, respectively. Based on triangular distribution intervals, stochastic programming model built derive priority weights from IMPR. Thus, method put forward individual To reach maximum group support degree, 0–1 mixed integer established determine DMs’ Considering category information intervals collective adjusted The IMPRs integrated into ranking alternatives generated by Two real-life examples demonstrated validate proposed methods. A system based methods designed.
sci-hub.st 参考文章(48)
Ligang Zhou, José M. Merigó, Huayou Chen, Jinpei Liu, The optimal group continuous logarithm compatibility measure for interval multiplicative preference relations based on the COWGA operator Information Sciences. ,vol. 328, pp. 250- 269 ,(2016) , 10.1016/J.INS.2015.08.043
Kevin W. Li, Zhou-Jing Wang, Xiayu Tong, Acceptability analysis and priority weight elicitation for interval multiplicative comparison matrices European Journal of Operational Research. ,vol. 250, pp. 628- 638 ,(2016) , 10.1016/J.EJOR.2015.09.010
Yuan Jiang, Zeshui Xu, Xiaohan Yu, Group decision making based on incomplete intuitionistic multiplicative preference relations Information Sciences. ,vol. 295, pp. 33- 52 ,(2015) , 10.1016/J.INS.2014.09.043
Peijun Guo, Yuanbin Wang, Eliciting dual interval probabilities from interval comparison matrices Information Sciences. ,vol. 190, pp. 17- 26 ,(2012) , 10.1016/J.INS.2011.12.014
Enrique Herrera-Viedma, Sergio Alonso, Francisco Chiclana, Francisco Herrera, A Consensus Model for Group Decision Making With Incomplete Fuzzy Preference Relations IEEE Transactions on Fuzzy Systems. ,vol. 15, pp. 863- 877 ,(2007) , 10.1109/TFUZZ.2006.889952
Zhou-Jing Wang, Yuan-Gao Chen, Logarithmic least squares prioritization and completion methods for interval fuzzy preference relations based on geometric transitivity Information Sciences. ,vol. 289, pp. 59- 75 ,(2014) , 10.1016/J.INS.2014.08.009
Thomas L. Saaty, Luis G. Vargas, Uncertainty and rank order in the analytic hierarchy process European Journal of Operational Research. ,vol. 32, pp. 107- 117 ,(1987) , 10.1016/0377-2217(87)90275-X
Zeshui Xu, Priority Weight Intervals Derived From Intuitionistic Multiplicative Preference Relations IEEE Transactions on Fuzzy Systems. ,vol. 21, pp. 642- 654 ,(2013) , 10.1109/TFUZZ.2012.2226893
Thomas L Saaty, A Scaling Method for Priorities in Hierarchical Structures Journal of Mathematical Psychology. ,vol. 15, pp. 234- 281 ,(1977) , 10.1016/0022-2496(77)90033-5
Fang Liu, Wei-Guo Zhang, Zhong-Xing Wang, A goal programming model for incomplete interval multiplicative preference relations and its application in group decision-making European Journal of Operational Research. ,vol. 218, pp. 747- 754 ,(2012) , 10.1016/J.EJOR.2011.11.042