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.