Short communication: A novel method for hybrid multiple attribute decision making

An approach based on 2-tuple is presented to solve the hybrid multiple attribute decision making problem with weight information unknown. First, transformation rules between linguistic variables and triangular fuzzy numbers, and distance between 2-tuple linguistics are defined, then the transformation method between 2-tuple linguistic and different forms of indicator values is given. Besides, according to grey incidence minimum deviation theory of positive ideal solution, the weights of indicators are determined, and then alternatives are ranked by 2-tuple linguistic weighting arithmetic average values. Finally, an illustrative example is given to demonstrate the procedure of the method and to compare with TOPSIS method to show the effectiveness and advantages of the presented method.

[1]  WU Qi-zong,et al.  A technique of order preference by similarity to ideal solution for hybrid multiple attribute decision making problems , 2004 .

[2]  Wang Jian-qiang.  Group multi-criteria linguistic decision-making method with incomplete certain information , 2007 .

[3]  Zhang Ji.  TOPSIS of Multiple Attribute Decision Making Problem With Interval-Valued Weight , 2002 .

[4]  Lu Yan-li,et al.  Multiple attribute decision making method based on intuitionistic fuzzy sets , 2007 .

[5]  Gong Zai-wu.  On priority of trapezoidal fuzzy number complementary judgment matrix based on two-tuple linguistic , 2007 .

[6]  N. Bryson,et al.  An action learning evaluation procedure for multiple criteria decision making problems , 1997 .

[7]  Francisco Herrera,et al.  Managing non-homogeneous information in group decision making , 2005, Eur. J. Oper. Res..

[8]  Francisco Herrera,et al.  A 2-tuple fuzzy linguistic representation model for computing with words , 2000, IEEE Trans. Fuzzy Syst..

[9]  Liu Si-feng.  Group decision making method based on two-tuple linguistic for judgment matrices with different fuzzy preferences , 2007 .

[10]  Wei Yu.  Method of Uncertain Linguistic Multiple Attribute Decision Making with Preference to Alternatives , 2007 .

[11]  Ding Yong.  A New Method on Hybrid Multiple Attribute Decision-Making Problem for Choosing the Supplier , 2006 .

[12]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making: Methods and Applications - A State-of-the-Art Survey , 1981, Lecture Notes in Economics and Mathematical Systems.