The ELECTRE multicriteria analysis approach based on intuitionistic fuzzy sets

Over the last decades, intuitionistic fuzzy sets have been applied to many different fields, such as logic programming, medical diagnosis, decision making, etc. The purpose of this paper is to develop a new methodology for solving multi-attribute decision-making problems with intuitionistic fuzzy information by using the concept of ELECTRE method. ELECTRE uses the concept of an outranking relationship. We also use TOPSIS method to rank all of the alternatives and to determine the best alternative. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

[1]  Janusz Kacprzyk,et al.  A concept of similarity for intuitionistic fuzzy sets and its use in group decision making , 2004, 2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542).

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

[3]  Przemyslaw Grzegorzewski,et al.  Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric , 2004, Fuzzy Sets Syst..

[4]  Zun-Quan Xia,et al.  Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets , 2007, J. Comput. Syst. Sci..

[5]  Krassimir T. Atanassov,et al.  Intuitionistic Fuzzy Sets - Theory and Applications , 1999, Studies in Fuzziness and Soft Computing.

[6]  Zeshui Xu,et al.  Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making , 2007, Fuzzy Optim. Decis. Mak..

[7]  Diyar Akay,et al.  A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method , 2009, Expert Syst. Appl..

[8]  K. Atanassov,et al.  Intuitionistic fuzzy Prolog , 1993 .

[9]  Ronald R. Yager,et al.  Intuitionistic fuzzy interpretations of multi-criteria multi-person and multi-measurement tool decision making , 2005, Int. J. Syst. Sci..

[10]  K. Atanassov.  More on intuitionistic fuzzy sets , 1989 .

[11]  Matthias Ehrgott,et al.  Multiple criteria decision analysis: state of the art surveys , 2005 .

[12]  Bernard Roy,et al.  An overview on "The European school of MCDA: Emergence, basic features and current works" , 1997 .

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

[14]  Dug Hun Hong,et al.  Multicriteria fuzzy decision-making problems based on vague set theory , 2000, Fuzzy Sets Syst..

[15]  Ranjit Biswas,et al.  An application of intuitionistic fuzzy sets in medical diagnosis , 2001, Fuzzy Sets Syst..

[16]  Shu Liu,et al.  Fractional programming methodology for multi-attribute group decision-making using IFS , 2009, Appl. Soft Comput..

[17]  Athar Kharal,et al.  Homeopathic drug selection using Intuitionistic Fuzzy Sets , 2009, Homeopathy.

[18]  Janusz Kacprzyk,et al.  Distances between intuitionistic fuzzy sets , 2000, Fuzzy Sets Syst..

[19]  Ting-Yu Chen,et al.  Interval-valued fuzzy permutation method and experimental analysis on cardinal and ordinal evaluations , 2009, J. Comput. Syst. Sci..

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

[21]  Ali Shanian,et al.  A non-compensatory compromised solution for material selection of bipolar plates for polymer electrolyte membrane fuel cell (PEMFC) using ELECTRE IV , 2006 .

[22]  Adiel Teixeira de Almeida,et al.  Multicriteria decision model for outsourcing contracts selection based on utility function and ELECTRE method , 2007, Comput. Oper. Res..