Multiple attribute decision making based on fuzzy preference information on alternatives: Ranking and weighting

This paper investigates the multiple attribute decision making (MADM) problem with fuzzy preference information on alternatives and proposes an eigenvector method to rank them. Three optimization models are introduced to assess the relative importance weights of attributes in a MADM problem, which integrate subjective fuzzy preference relations and objective information in different ways. Since the decisions these models lead to are based on both subjective and objective information, they are more balanced and credible than those that consider only one type of information. An example is provided to illustrate the application of the proposed models.

[1]  Francisco Herrera,et al.  Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations , 1998, Fuzzy Sets Syst..

[2]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decision-making , 1988 .

[3]  J. Kacprzyk.  Group decision making with a fuzzy linguistic majority , 1986 .

[4]  Luis G. Vargas,et al.  Preference simulation and preference programming: robustness issues in priority derivation , 1993 .

[5]  T. Saaty,et al.  The Analytic Hierarchy Process , 1985 .

[6]  Z. S. Xu,et al.  Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation , 2004, Int. J. Approx. Reason..

[7]  Stan Lipovetsky,et al.  Robust estimation of priorities in the AHP , 2002, Eur. J. Oper. Res..

[8]  Noel Bryson,et al.  A Goal Programming Method for Generating Priority Vectors , 1995 .

[9]  J. Kacprzyk.  Group decision-making with a fuzzy majority via linguistic quantifiers. part II: , 1985 .

[10]  L. Imhof.  Matrix Algebra and Its Applications to Statistics and Econometrics , 1998 .

[11]  Zeshui Xu,et al.  A least deviation method to obtain a priority vector of a fuzzy preference relation , 2005, Eur. J. Oper. Res..

[12]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[13]  Quan Zhang,et al.  An approach to multiple attribute decision making based on preference information on alternatives , 2001, Proceedings of the 34th Annual Hawaii International Conference on System Sciences.

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

[15]  J. Kacprzyk,et al.  Group decision making and consensus under fuzzy preferences and fuzzy majority , 1992 .