Group decision-making based on heterogeneous preference relations with self-confidence

Preference relations are very useful to express decision makers’ preferences over alternatives in the process of group decision-making. However, the multiple self-confidence levels are not considered in existing preference relations. In this study, we define the preference relation with self-confidence by taking multiple self-confidence levels into consideration, and we call it the preference relation with self-confidence. Furthermore, we present a two-stage linear programming model for estimating the collective preference vector for the group decision-making based on heterogeneous preference relations with self-confidence. Finally, numerical examples are used to illustrate the two-stage linear programming model, and a comparative analysis is carried out to show how self-confidence levels influence on the group decision-making results.

[1]  Jian Ma,et al.  A method for group decision making with multi-granularity linguistic assessment information , 2008, Inf. Sci..

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

[3]  Yucheng Dong,et al.  On consistency measures of linguistic preference relations , 2008, Eur. J. Oper. Res..

[4]  Zhi-Ping Fan,et al.  An optimization method for integrating two kinds of preference information in group decision-making , 2004, Comput. Ind. Eng..

[5]  Enrique Herrera-Viedma,et al.  Confidence-consistency driven group decision making approach with incomplete reciprocal intuitionistic preference relations , 2015, Knowl. Based Syst..

[6]  Lotfi A. Zadeh,et al.  A Note on Z-numbers , 2011, Inf. Sci..

[7]  Tetsuzo Tanino,et al.  Fuzzy Preference Relations in Group Decision Making , 1988 .

[8]  Zeshui Xu,et al.  Nonlinear Programming Model Integrating Different Preference Structures , 2011, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[9]  Francisco Herrera,et al.  A consensus model for multiperson decision making with different preference structures , 2002, IEEE Trans. Syst. Man Cybern. Part A.

[10]  Marc Roubens,et al.  Fuzzy Preference Modelling and Multicriteria Decision Support , 1994, Theory and Decision Library.

[11]  Francisco Herrera,et al.  A Consensus Model for Group Decision Making With Incomplete Fuzzy Preference Relations , 2007, IEEE Transactions on Fuzzy Systems.

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

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

[14]  Enrique Herrera-Viedma,et al.  Consistency-Driven Automatic Methodology to Set Interval Numerical Scales of 2-Tuple Linguistic Term Sets and Its Use in the Linguistic GDM With Preference Relation , 2015, IEEE Transactions on Cybernetics.

[15]  Enrique Herrera-Viedma,et al.  Managing incomplete preference relations in decision making: A review and future trends , 2015, Inf. Sci..

[16]  Rui Yue,et al.  Supplier selection in supplier chain management using Choquet integral-based linguistic operators under fuzzy heterogeneous environment , 2016, Fuzzy Optim. Decis. Mak..

[17]  José Luis García-Lapresta,et al.  Modeling rationality in a linguistic framework , 2009, Fuzzy Sets Syst..

[18]  Francisco Herrera,et al.  Some issues on consistency of fuzzy preference relations , 2004, Eur. J. Oper. Res..

[19]  Francisco Herrera,et al.  Connecting the linguistic hierarchy and the numerical scale for the 2-tuple linguistic model and its use to deal with hesitant unbalanced linguistic information , 2016, Inf. Sci..

[20]  Francisco Herrera,et al.  Group Decision-Making Model With Incomplete Fuzzy Preference Relations Based on Additive Consistency , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[21]  Yucheng Dong,et al.  The fusion process with heterogeneous preference structures in group decision making: A survey , 2015, Inf. Fusion.

[22]  Luis Martínez-López,et al.  Personalized individual semantics in computing with words for supporting linguistic group decision making. An application on consensus reaching , 2017, Inf. Fusion.

[23]  Intensitas,et al.  Analytical Hierarchy Process , 2017 .

[24]  Yin-Feng Xu,et al.  Linguistic multiperson decision making based on the use of multiple preference relations , 2009, Fuzzy Sets Syst..

[25]  Enrique Herrera-Viedma,et al.  A consensus model for group decision making problems with linguistic interval fuzzy preference relations , 2012, Expert Syst. Appl..

[26]  Yucheng Dong,et al.  Consensus-Based Group Decision Making Under Multi-granular Unbalanced 2-Tuple Linguistic Preference Relations , 2015 .

[27]  Francisco Herrera,et al.  Computing with words in decision making: foundations, trends and prospects , 2009, Fuzzy Optim. Decis. Mak..

[28]  Yucheng Dong,et al.  Multiperson decision making with different preference representation structures: A direct consensus framework and its properties , 2014, Knowl. Based Syst..

[29]  Enrique Herrera-Viedma,et al.  A Mobile Decision Support System for Dynamic Group Decision-Making Problems , 2010, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[30]  Francisco Herrera,et al.  Cardinal Consistency of Reciprocal Preference Relations: A Characterization of Multiplicative Transitivity , 2009, IEEE Transactions on Fuzzy Systems.

[31]  S. Orlovsky.  Decision-making with a fuzzy preference relation , 1978 .

[32]  T. Tanino.  Fuzzy preference orderings in group decision making , 1984 .

[33]  Enrique Herrera-Viedma,et al.  A statistical comparative study of different similarity measures of consensus in group decision making , 2013, Inf. Sci..

[34]  Enrique Herrera-Viedma,et al.  Integrating experts' weights generated dynamically into the consensus reaching process and its applications in managing non-cooperative behaviors , 2016, Decis. Support Syst..

[35]  Enrique Herrera-Viedma,et al.  A linguistic consensus model for Web 2.0 communities , 2013, Appl. Soft Comput..

[36]  Jian Ma,et al.  An optimization approach to multiperson decision making based on different formats of preference information , 2006, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[37]  Enrique Herrera-Viedma,et al.  Fuzzy decision making and consensus: Challenges , 2015, J. Intell. Fuzzy Syst..

[38]  Enrique Herrera-Viedma,et al.  Trust based consensus model for social network in an incomplete linguistic information context , 2015, Appl. Soft Comput..

[39]  Enrique Herrera-Viedma,et al.  Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information , 2010, Knowl. Based Syst..

[40]  T. Tanino.  On Group Decision Making under Fuzzy Preferences , 1990 .

[41]  H. Nurmi.  Approaches to collective decision making with fuzzy preference relations , 1981 .

[42]  Enrique Herrera-Viedma,et al.  A Consensus Model for Group Decision Making Problems with Unbalanced Fuzzy Linguistic Information , 2009, Int. J. Inf. Technol. Decis. Mak..

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

[44]  Shui Yu,et al.  Linguistic Computational Model Based on 2-Tuples and Intervals , 2013, IEEE Transactions on Fuzzy Systems.

[45]  F. Herrera,et al.  A consistency-based procedure to estimate missing pairwise preference values , 2008 .