An Approach to Group Decision Making Problems Based on 2-Tuple Linguistic Aggregation Operators

In this paper, we develop some new aggregation operators such as 2-tuple linguistic geometric averaging (TGA) operator, 2-tuple linguistic weighted averaging (TWGA) operator, 2-tuple linguistic ordered weighted geometric averaging (TOWGA) operator and 2-tuple linguistic hybrid geometric averaging (THGA) operator, which can be utilized to aggregate preference information taking the form of linguistic variables, and then study some desirable properties of the operators. Based on the TOWGA and the THGA operators, we propose a practical method for group decision making with linguistic preference relations. The method is straightforward and has no loss of information. Finally, an illustrative example is also given.

[1]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[2]  T. Saaty,et al.  Procedures for Synthesizing Ratio Judgements , 1983 .

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

[4]  José L. Verdegay,et al.  On aggregation operations of linguistic labels , 1993, Int. J. Intell. Syst..

[5]  Francisco Herrera,et al.  A Sequential Selection Process in Group Decision Making with a Linguistic Assessment Approach , 1995, Inf. Sci..

[6]  V. Torra.  Negation functions based semantics for ordered linguistic labels , 1996 .

[7]  Gloria Bordogna,et al.  A linguistic modeling of consensus in group decision making based on OWA operators , 1997, IEEE Trans. Syst. Man Cybern. Part A.

[8]  Soung Hie Kim,et al.  An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach , 1999, Eur. J. Oper. Res..

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

[10]  Francisco Herrera,et al.  Theory and Methodology Choice functions and mechanisms for linguistic preference relations , 2000 .

[11]  Francisco Herrera,et al.  Multiperson decision-making based on multiplicative preference relations , 2001, Eur. J. Oper. Res..

[12]  Francisco Herrera,et al.  A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic contexts in multi-expert decision-making , 2001, IEEE Trans. Syst. Man Cybern. Part B.

[13]  Z. S. Xu,et al.  The ordered weighted geometric averaging operators , 2002, Int. J. Intell. Syst..

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

[15]  Zeshui Xu,et al.  A method based on linguistic aggregation operators for group decision making with linguistic preference relations , 2004, Inf. Sci..