Approaches to multiple attribute group decision making problems with interval grey uncertain linguistic variables

In this paper, we investigate the multiple attribute group decision making problems with interval grey uncertain linguistic variables. We first introduce some operations on the interval grey uncertain linguistic variables. Then, we further develop the we develop the interval grey uncertain linguistic weighted averaging (IGULWA) operator, the interval grey uncertain linguistic variables ordered weighted averaging (IGULOWA) operator and the induced interval grey uncertain linguistic ordered weighted aggregation (I-IGULOWA) operator and study some desirable properties of the I-IGULOWA operator. Furthermore, we apply the I-IGULOWA operator and the IGULWA operator to the multiple attribute group decision making with interval grey uncertain linguistic information. Finally, an illustrative example for evaluating the ERP software quality with the interval grey uncertain linguistic variables is given to verify the developed approach.

[1]  Gui-Wu Wei,et al.  Grey relational analysis method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information , 2011, Expert Syst. Appl..

[2]  José M. Merigó,et al.  A unified model between the weighted average and the induced OWA operator , 2011, Expert Syst. Appl..

[3]  Guiwu Wei,et al.  Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making , 2010, Appl. Soft Comput..

[4]  Zeshui Xu,et al.  An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations , 2006, Decis. Support Syst..

[5]  A. M. G. Lafuente,et al.  Unification Point In Methods For The Selection Of Financial Products , 2007 .

[6]  Guiwu Wei,et al.  Induced hesitant interval-valued fuzzy Einstein aggregation operators and their application to multiple attribute decision making , 2013, J. Intell. Fuzzy Syst..

[7]  Gui-Wu Wei,et al.  Uncertain Linguistic Hybrid Geometric Mean Operator and its Application to Group Decision Making under Uncertain Linguistic Environment , 2009, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[8]  Xu Ze,et al.  A Method Based on Fuzzy Linguistic Assessments and Linguistic Ordered Weighted Averaging(OWA) Operator for Multi-Attribute Group Decision-Making Problems , 2002 .

[9]  Peide Liu.  The multi-attribute group decision making method based on the interval grey linguistic variables weighted aggregation operator , 2013, J. Intell. Fuzzy Syst..

[10]  Peide Liu,et al.  The multi-attribute group decision making method based on the interval grey linguistic variables weighted harmonic aggregation operators , 2010 .

[11]  Luis Martínez-López,et al.  A communication model based on the 2-tuple fuzzy linguistic representation for a distributed intelligent agent system on Internet , 2002, Soft Comput..

[12]  Desheng Dash Wu,et al.  The method of grey related analysis to multiple attribute decision making problems with interval numbers , 2005, Math. Comput. Model..

[13]  Francisco Herrera,et al.  A fusion approach for managing multi-granularity linguistic term sets in decision making , 2000, Fuzzy Sets Syst..

[14]  Guiwu Wei,et al.  Hesitant triangular fuzzy information aggregation in multiple attribute decision making , 2014, J. Intell. Fuzzy Syst..

[15]  Nian Zhang,et al.  Method for aggregating correlated interval grey linguistic variables and its application to decision making , 2013 .

[16]  Dimitar Filev,et al.  Induced ordered weighted averaging operators , 1999, IEEE Trans. Syst. Man Cybern. Part B.

[17]  Gui-Wu Wei,et al.  Extension of TOPSIS method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information , 2010, Knowledge and Information Systems.

[18]  Zhang Xin.  Multi-attribute group decision making method based on interval grey linguistic variables weighted geometric aggregation operator , 2011 .

[19]  José M. Merigó,et al.  Induced and uncertain heavy OWA operators , 2011, Comput. Ind. Eng..

[20]  Deng-Feng Li,et al.  Extension of the LINMAP for multiattribute decision making under Atanassov’s intuitionistic fuzzy environment , 2008, Fuzzy Optim. Decis. Mak..

[21]  Gui-Wu Wei,et al.  Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making , 2011, Expert Syst. Appl..

[22]  Zhiping Chen,et al.  A new multiple attribute group decision making method in intuitionistic fuzzy setting , 2011 .

[23]  G. Wei,et al.  Uncertain linguistic Bonferroni mean operators and their application to multiple attribute decision making , 2013 .

[24]  Zeshui Xu,et al.  Induced uncertain linguistic OWA operators applied to group decision making , 2006, Inf. Fusion.

[25]  Z. S. Xu,et al.  An overview of operators for aggregating information , 2003, Int. J. Intell. Syst..

[26]  Zeshui Xu,et al.  Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment , 2004, Inf. Sci..

[27]  J. Merigó,et al.  Induced aggregation operators in decision making with the Dempster-Shafer belief structure , 2009 .

[28]  Jiamin Wang,et al.  Potential optimality and robust optimality in multiattribute decision analysis with incomplete information: A comparative study , 2013, Decis. Support Syst..

[29]  Deng-Feng Li,et al.  The GOWA operator based approach to multiattribute decision making using intuitionistic fuzzy sets , 2011, Math. Comput. Model..

[30]  Mohammad Izadikhah,et al.  An algorithmic method to extend TOPSIS for decision-making problems with interval data , 2006, Appl. Math. Comput..

[31]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making — An Overview , 1992 .