A Multi-criteria Interval-Valued Intuitionistic Fuzzy Group Decision Making for Supplier Selection with TOPSIS Method

The Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method, evaluation of alternatives based on weighted attributes play an important role in the best alternative selection. Practically it is difficult to precisely measure the exact values to the relative importance of the attributes and to the impacts of the alternatives on theses attributes. Therefore, the TOPSIS method has been extended for interval-valued intuitionistic fuzzy data in this paper, to tackle this problem. In addition, supplier selection problem a multi-criteria group decision making problem involving several conflicting criteria is solved with the proposed methodology.

[1]  Evangelos Triantaphyllou,et al.  Development and evaluation of five fuzzy multiattribute decision-making methods , 1996, Int. J. Approx. Reason..

[2]  K. Atanassov Operators over interval valued intuitionistic fuzzy sets , 1994 .

[3]  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.

[4]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[5]  F. Hosseinzadeh Lotfi,et al.  Extension of TOPSIS for decision-making problems with interval data: Interval efficiency , 2009, Math. Comput. Model..

[6]  Ying-Ming Wang,et al.  Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment , 2006, Expert Syst. Appl..

[7]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[8]  Zeshui Xu,et al.  Dynamic intuitionistic fuzzy multi-attribute decision making , 2008, Int. J. Approx. Reason..

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

[10]  Guangtao Fu,et al.  A fuzzy optimization method for multicriteria decision making: An application to reservoir flood control operation , 2008, Expert Syst. Appl..

[11]  W.-L. Gau,et al.  Vague sets , 1993, IEEE Trans. Syst. Man Cybern..

[12]  Humberto Bustince,et al.  Vague sets are intuitionistic fuzzy sets , 1996, Fuzzy Sets Syst..

[13]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[14]  Mohammad Izadikhah,et al.  Extension of the TOPSIS method for decision-making problems with fuzzy data , 2006, Appl. Math. Comput..

[15]  Zeshui Xu,et al.  Some geometric aggregation operators based on intuitionistic fuzzy sets , 2006, Int. J. Gen. Syst..

[16]  Zeshui Xu,et al.  Intuitionistic Fuzzy Aggregation Operators , 2007, IEEE Transactions on Fuzzy Systems.

[17]  Z. Xu,et al.  Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making , 2007 .

[18]  Jian Jhen Chen,et al.  Approach to Group Decision Making Based on Interval-Valued Intuitionistic Judgment Matrices , 2007 .