A comprehensive group decision-making method with interval-valued intuitionistic fuzzy preference relations
作者： Feng Wang , Shuping Wan , None
DOI: 10.1007/S00500-020-05145-7
关键词:
摘要: This paper investigates the group decision making (GDM) with interval-valued intuitionistic fuzzy (IVIF) preference relations (IVIFPRs). Considering maker’s (DM’s) risk attitude, new score and accuracy functions for an IVIF value (IVIFV) are defined a order relation is proposed to rank IVIFVs. By transforming IVIFPR into direct indirect IFPRs, additive consistency of considering uncertainty ambiguity. Combining IFPRs extracted from IVIFPR, algorithm designed determine comprehensive priority weights IVIFPR. For GDM IVIFPRs, multi-objective programming model constructed derive DMs’ by combining TOPSIS cross entropy, which solved Lagrange function method. Based on determination weights, IVIFVs, method IVIFPRs. Finally, ventilation system selection example analyzed verify effectiveness
springer.com
sci-hub.st 参考文章(38)
Huchang Liao, Zeshui Xu, Meimei Xia, Multiplicative consistency of interval-valued intuitionistic fuzzy preference relation Journal of Intelligent and Fuzzy Systems. ,vol. 27, pp. 2969- 2985 ,(2014) , 10.3233/IFS-141256
Krassimir T. Atanassov, Intuitionistic fuzzy sets Fuzzy Sets and Systems. ,vol. 20, pp. 87- 96 ,(1986) , 10.1016/S0165-0114(86)80034-3
Zeshui Xu, Ronald R. Yager, Some geometric aggregation operators based on intuitionistic fuzzy sets International Journal of General Systems. ,vol. 35, pp. 417- 433 ,(2006) , 10.1080/03081070600574353
ZS Xu, None, Intuitionistic preference relations and their application in group decision making Information Sciences. ,vol. 177, pp. 2363- 2379 ,(2007) , 10.1016/J.INS.2006.12.019
Jian Wu, Francisco Chiclana, Non-dominance and attitudinal prioritisation methods for intuitionistic and interval-valued intuitionistic fuzzy preference relations Expert Systems With Applications. ,vol. 39, pp. 13409- 13416 ,(2012) , 10.1016/J.ESWA.2012.05.062
Celik Parkan, Ming-Lu Wu, Decision-making and performance measurement models with applications to robot selection Computers & Industrial Engineering. ,vol. 36, pp. 503- 523 ,(1999) , 10.1016/S0360-8352(99)00146-1
Zeshui Xu, Ronald R. Yager, Intuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group Fuzzy Optimization and Decision Making. ,vol. 8, pp. 123- 139 ,(2009) , 10.1007/S10700-009-9056-3
Ze-shui XU, Jian CHEN, Approach to Group Decision Making Based on Interval-Valued Intuitionistic Judgment Matrices Systems Engineering - Theory & Practice. ,vol. 27, pp. 126- 133 ,(2007) , 10.1016/S1874-8651(08)60026-5
Ying-Ming Wang, Ying Luo, On rank reversal in decision analysis Mathematical and Computer Modelling. ,vol. 49, pp. 1221- 1229 ,(2009) , 10.1016/J.MCM.2008.06.019
Zhou-Jing Wang, Derivation of intuitionistic fuzzy weights based on intuitionistic fuzzy preference relations Applied Mathematical Modelling. ,vol. 37, pp. 6377- 6388 ,(2013) , 10.1016/J.APM.2013.01.021