A Framework of Group Decision Making with Hesitant Fuzzy Preference Relations Based on Multiplicative Consistency

作者: Zhiming Zhang

DOI: 10.1007/S40815-016-0219-4

关键词: Group decision-makingConsistency (negotiation)Computational intelligenceMathematicsPreferenceMultiplicative functionMathematical optimizationMeasure (mathematics)Artificial intelligenceFuzzy logicGroup (mathematics)

摘要: The purpose of this paper is to develop a general framework group decision making with hesitant fuzzy preference relations based on the multiplicative consistency. First, we define consistency index measure whether or not relation acceptably A improving process developed improve level unacceptably until it multiplicative. Then, present consensus deviation between individual and their collective relation. reaching help makers among they meet predefined level. Subsequently, establish complete relations. In framework, are simultaneously highlighted each still maintained in achievement Finally, an illustrative numerical example given verify effectiveness practicality method.

参考文章(43)
Enrique Herrera-Viedma, Francisco Chiclana, Francisco Herrera, Francisco Javier Cabrerizo, Sergio Alonso, An Interactive Decision Support System Based on Consistency Criteria soft computing. ,vol. 14, pp. 371- 386 ,(2008)
Sadaaki Miyamoto, Multisets and Fuzzy Multisets Springer, Tokyo. pp. 9- 33 ,(2000) , 10.1007/978-4-431-67907-3_2
Zhiming Zhang, Chao Wang, Xuedong Tian, A decision support model for group decision making with hesitant fuzzy preference relations Knowledge Based Systems. ,vol. 86, pp. 77- 101 ,(2015) , 10.1016/J.KNOSYS.2015.05.023
Bin Zhu, Studies on Consistency Measure of Hesitant Fuzzy Preference Relations Procedia Computer Science. ,vol. 17, pp. 457- 464 ,(2013) , 10.1016/J.PROCS.2013.05.059
Francisco Javier Cabrerizo, Raquel Ureña, Witold Pedrycz, Enrique Herrera-Viedma, Building consensus in group decision making with an allocation of information granularity Fuzzy Sets and Systems. ,vol. 255, pp. 115- 127 ,(2014) , 10.1016/J.FSS.2014.03.016
Meimei Xia, Zeshui Xu, Jian Chen, Algorithms for improving consistency or consensus of reciprocal [0,1]-valued preference relations Fuzzy Sets and Systems. ,vol. 216, pp. 108- 133 ,(2013) , 10.1016/J.FSS.2012.09.016
R. M. Rodriguez, L. Martinez, F. Herrera, Hesitant Fuzzy Linguistic Term Sets for Decision Making IEEE Transactions on Fuzzy Systems. ,vol. 20, pp. 109- 119 ,(2012) , 10.1109/TFUZZ.2011.2170076
Krassimir T. Atanassov, Intuitionistic fuzzy sets Fuzzy Sets and Systems. ,vol. 20, pp. 87- 96 ,(1986) , 10.1016/S0165-0114(86)80034-3
HUCHANG LIAO, ZESHUI XU, MEIMEI XIA, MULTIPLICATIVE CONSISTENCY OF HESITANT FUZZY PREFERENCE RELATION AND ITS APPLICATION IN GROUP DECISION MAKING International Journal of Information Technology and Decision Making. ,vol. 13, pp. 47- 76 ,(2014) , 10.1142/S0219622014500035