Intuitionistic Preference Modeling and Interactive Decision Making

Zeshui Xu received the PhD degree in management science and engineering from Southeast University, Nanjing, China, in 2003. From April 2003 to May 2005, he was a Postdoctoral Researcher with the School of Economics and Management, Southeast University. From October 2005 to December 2007, he was a Postdoctoral Researcher with the School of Economics and Management, Tsinghua University, Beijing, China. From November 2008 to February 2009, February 2010 to May 2010,  February 2011 to May 2011, and on August 2009, he was a Visiting Research Scholar at the Chinese University of Hong Kong, Shatin, N.T., Hong Kong. He is currently an IEEE Senior Member, Reviewer of Mathematical Reviews of American Mathematical Society, and an Adjunct Professor with the Antai School of Economic and Management, Shanghai Jiaotong University, Shanghai, China; an Adjunct Professor with the School of Economics and Management, Southeast University Nanjing, Jiangsu, China. He is also currently a Chair Professor withthe Sciences Institute, PLA University of Science and Technology, Nanjing, China. He serves on the Editorial Boards of Information: An International Journal, International Journal of Applied Management Science, International Journal of Data Analysis Techniques and Strategies, System Engineering–Theory and Practice, Journal of Systems Engineering, and Fuzzy Systems and Mathematics. He has authored three books, and has contributed more than 300 journal articles to professional journals, including IEEE Transactions on Fuzzy Systems, IEEE Transactions on Systems, Man, and Cybernetics, Information Sciences, European Journal of Operational Research, Omega, Decision Support Systems, Journal of Optimization Theory and Applications, Fuzzy Sets and Systems, Group Decision and Negotiation, International Journal of Approximate reasoning, Information Fusion, International Journal of Intelligent Systems, Computers & Industrial Engineering, Expert Systems With Applications, Soft Computing, Applied Soft Computing, Knowledge-Based Systems, International Journal of General Systems, Fuzzy Optimization and Decision Making, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, and International Journal of Information Technology and Decision Making, etc. His current research interests include information fusion, group decision making, computing with words, intuitionistic fuzzy sets, and aggregation operators.

• 1 Intuitionistic Preference Relations.-1.1 Concepts and Operations.- 1.2 Estimation Algorithms for Acceptable Incomplete Intuitionistic Fuzzy Preference Relations.- 1.2.1 The Estimation Algorithm for an Acceptable Incomplete Intuitionistic Fuzzy Preference Relation with the Least Judgements.-1.2.2 The Estimation Algorithm for Acceptable Incomplete Fuzzy Preferenc Relation with More Known Judgements.-1.2.3 Illustrative Example.- 1.3 Group Decision Making with Incomplete Interval-valued Intuitionistic Preference Relation.- 1.3.1 Incomplete Interval-valued Intuitionistic Preferenc Relations.- 1.3.2 A Procedure for Constructing an Interval-valued Intuitionistic Preference Relation with Multiplicative Transitivity.- 1.3.3 An approach to Group Decision Making with Incomplete Interval-valued Intuitionistic Preference Relation.-1.3.4 Example Illustration.-1.4 Iterative Algorithms for Improving Consistency of Institutionistic Preferenc Relation.- 1.4.1 Some Properties of a Multiplicative Consistent Intuitionistic Preference Relation.-1.4.2 Improving Consistency of an Intuitionistic Preference Relation.-1.4.3 Improving Consistency of Intuitionistic Preference Relations in Group Decision Making.-1.5 Consistency and Consensus Improving Procedures of Interval-valued Intuitionistic Preference Relations.-1.5.1 A Property of Multiplicative Consistent Interval-valued Intuitionistic Preference Relations.-1.5.2 Construction of Multiplicative Consistent or Approximate  Multiplicative Consistent Interval-valued Intuitionistic Preference Relations.-1.5.3 Consensus Improving Procedure of Interval-valued Intuitionistic Preference Relations in Group Decision Making.-1.6 Compatibility Analysis of Intuitionistic Fuzzy Preference Relations in Group Decision Making.-1.6.1 Compatibility Analysis of Intuitionistic Preference Relations.- 1.6.2 Extended Results in Interval-valued Intuitionistic Fuzzy Situations.-1.6.3 Numerical Analysis.-1.7 A Method for Estimating Attribute Weights from Intuitionistic Preference Relations.-1.7.1 A new Concepts of Consistent Intuitionistic Preference Relation.-1.7.2 A Method for Estimating Attribute Weights.-1.7.3 Illustrative Exampls.-1.8 An Error-Analysis-Based Method for the Priority of an Intuitionistic Preference Relation.-1.8.1 Error Analysis.-1.8.2 An Error-Analysis-Based Priority Method.-1.8.3 Numerical Analysis.-1.9 Ranking Alternatives Based on Intuitionistic Preference Relation.-1.10 Intuitionistic Fuzzy Density-Based Aggregation Operators and Their Applications to Group Decision Making with Intuitionistic Preference  Relations.-1.10.1 Basic Concepts and Measures.-1.10.2 Intuitionistic Fuzzy Density-Based Aggregation Operators.-1.11 Preference Relations Based on Intuitionistic Multiplicative Information.-1.11.1 Intuitionistic Multiplicative Preference Relation.-1.11.2 Intuitionistic Multiplicative Aggregation Operators.-1.11.3 Decision Making with Intuitionistic Multiplicative Preference Relation.-1.12 Intuitionistic Multiplicative Group Decision Making with the Extended t-conorm and t-norm.- 1.12.1 Some Intuitionistic Multiplicative Operations Based on the Extended t-conorm and t-norm.-1.12.2 Intuitionist ic Multiplicative Aggregation Operators Based on the Extended t-conorms and t-norms.-1.12.3 Some Aggregation Operators Reflecting the Correlations of the Aggregated Arguments.-1.12.4 An Approach to Group Decision Making with Intuitionistic Multiplicative Preference Relations.-2 Interactive Intuitionistic Fuzzy Multi-Attribute Decision Making.-2.1 Interactive Intuitionistic Fuzzy Multi-Attribute Decision Making by Identifying and Eliminating Dominated Alternatives.-2.2 Interactive Intuitionistic Fuzzy Multi-Attribute Decision Making Based on Nonlinear Optimization Models.-2.2.1 A Satisfaction-Degree-Based Method.-2.2.2 An Interactive Method.-2.2.3 Extended Results in Interval-Valued Intuitionistic Fuzzy Situations.- References.