Mcdm Aggregation Model Using Situational Me-OWA and Me-Owga Operators

OWA (Ordered Weighted Averaging) aggregation operators have been extensively adopted to handle MCDM (multiple criteria decision making) problems. However, additive or multiplicative preferences should be aggregated with feasible operators. To resolve this problem, this study proposes a new MCDM aggregation model, capable of handling situational group MCDM problems based on the ME-OWA (maximal entropy ordered weighted averaging) and ME-OWGA (maximal entropy ordered weighted geometric averaging) operators. The proposed model is also applied not only to evaluate the service quality of airlines but also select the most appropriate desalination technology. The results of previous MCDM methods can be covered with proposed model.

[1]  Radko Mesiar,et al.  Domination of ordered weighted averaging operators over t-norms , 2004, Soft Comput..

[2]  R. Yager.  Connectives and quantifiers in fuzzy sets , 1991 .

[3]  Francisco Herrera,et al.  Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations , 2001, Fuzzy Sets Syst..

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

[5]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[6]  D. Winterfeldt,et al.  Comparison of weighting judgments in multiattribute utility measurement , 1991 .

[7]  R. Yager.  On a general class of fuzzy connectives , 1980 .

[8]  C. C. Waid,et al.  An Experimental Comparison of Different Approaches to Determining Weights in Additive Utility Models , 1982 .

[9]  Sheng-Hshiung Tsaur,et al.  The evaluation of airline service quality by fuzzy MCDM. , 2002 .

[10]  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.

[11]  D. Winterfeldt,et al.  The effects of splitting attributes on weights in multiattribute utility measurement , 1988 .

[12]  M. Hajeeh,et al.  Application of the analytical hierarchy process in the selection of desalination plants , 2005 .

[13]  H. Zimmermann,et al.  Latent connectives in human decision making , 1980 .

[14]  Gleb Beliakov,et al.  Appropriate choice of aggregation operators in fuzzy decision support systems , 2001, IEEE Trans. Fuzzy Syst..

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

[16]  Daniel R. Dolk.  Data as models: an approach to implementing model management , 1986 .

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

[18]  Rita Almeida Ribeiro,et al.  Generalized mixture operators using weighting functions: A comparative study with WA and OWA , 2003, Eur. J. Oper. Res..

[19]  Janusz Kacprzyk,et al.  The Ordered Weighted Averaging Operators , 1997 .

[20]  Robert Fullér,et al.  An Analytic Approach for Obtaining Maximal Entropy Owa Operator Weights , 2001, Fuzzy Sets Syst..

[21]  Francisco Herrera,et al.  A study of the origin and uses of the ordered weighted geometric operator in multicriteria decision making , 2003, Int. J. Intell. Syst..

[22]  Francisco Herrera,et al.  Linguistic measures based on fuzzy coincidence for reaching consensus in group decision making , 1997, Int. J. Approx. Reason..

[23]  Vicenç Torra,et al.  Combining fuzzy sets: The geometric consensus function family , 1995, Fuzzy Sets Syst..

[24]  Dae-Young Choi,et al.  A new aggregation method in a fuzzy environment , 1999, Decis. Support Syst..

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

[26]  Vicenç Torra,et al.  OWA operators in data modeling and reidentification , 2004, IEEE Transactions on Fuzzy Systems.

[27]  Mark P. Wachowiak,et al.  Aggregation operators for selection problems , 2002, Fuzzy Sets Syst..

[28]  Ulises Cortés,et al.  Towards an automatic consensus generator tool: EGAC , 1995, IEEE Trans. Syst. Man Cybern..

[29]  Vicenç Torra,et al.  Learning weights for the quasi-weighted means , 2002, IEEE Trans. Fuzzy Syst..

[30]  Dimitar Filev,et al.  On the issue of obtaining OWA operator weights , 1998, Fuzzy Sets Syst..

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