A Markov chain approximation to multi-stage interactive group decision-making method based on interval fuzzy number

作者: Shenghai Zhou , Jingcheng Yang , Yishan Ding , Xuanhua Xu

DOI: 10.1007/S00500-015-1973-1

关键词: Markov chainInterval (mathematics)Partially observable Markov decision processMarkov modelMathematical optimizationVariable-order Markov modelStopping timeFuzzy numberMathematicsGroup decision-making

摘要: Aiming at the multi-stage group decision-making problem that each decision-maker makes decision with interval fuzzy number, this paper proposed a Markov chain approximation to interactive method. First, development of process is based on some assumptions. Based these assumptions, we define alternative conflict degree and determine threshold using numerical simulation. Then, can obtain stopping time process. Second, rank alternatives without calculating weights group, which an original perspective in field. Finally, analysis given illustrate effectiveness method proposed.

参考文章(24)
Xin-Fan Wang, Jian-Qiang Wang, Wu-E Yang, Multi-criteria group decision making method based on intuitionistic linguistic aggregation operators Journal of Intelligent and Fuzzy Systems. ,vol. 26, pp. 115- 125 ,(2014) , 10.3233/IFS-120719
Meimei Xia, Zeshui Xu, Na Chen, Some Hesitant Fuzzy Aggregation Operators with Their Application in Group Decision Making Group Decision and Negotiation. ,vol. 22, pp. 259- 279 ,(2013) , 10.1007/S10726-011-9261-7
Janusz Kacprzyk, Group decision making with a fuzzy linguistic majority Fuzzy Sets and Systems. ,vol. 18, pp. 105- 118 ,(1986) , 10.1016/0165-0114(86)90014-X
Dejian Yu, Wenyu Zhang, Yejun Xu, Group decision making under hesitant fuzzy environment with application to personnel evaluation Knowledge Based Systems. ,vol. 52, pp. 1- 10 ,(2013) , 10.1016/J.KNOSYS.2013.04.010
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
Fatih Emre Boran, Serkan Genç, Mustafa Kurt, Diyar Akay, A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method Expert Systems With Applications. ,vol. 36, pp. 11363- 11368 ,(2009) , 10.1016/J.ESWA.2009.03.039
Shu-Ping Wan, Qiang-Ying Wang, Jiu-Ying Dong, The extended VIKOR method for multi-attribute group decision making with triangular intuitionistic fuzzy numbers Knowledge Based Systems. ,vol. 52, pp. 65- 77 ,(2013) , 10.1016/J.KNOSYS.2013.06.019