I. Historical Retrospect.- Initiators of Multicriteria Optimization.- II. Mathematical Theory.- Well Posedness of Vector Optimization Problems.- Convex Cones, Minimality Notions, and Consequences.- Evaluation Functionals are the Extreme Points of a Basis for the Dual of C1+[a,b].- Polarities and Stability in Vector Optimization.- Sets of Efficiency in a Normed Space and Inner Product.- Recent Results on Duality in Vector Optimization.- A Result of Farkas Type and Duality in Vector Optimization.- Parametric Optimization with a Bottleneck Objective and Vector Optimization.- Duality in Partially Ordered Sets.- Generating Nested Subsets of Efficient Solutions.- Hierarchical Structures in Multicriteria Decision Making.- Well Posedness, Towards Vector Optimization.- On Some Applications of Stochastic Dominance in Multiobjective Decision-Making.- Some Considerations About Compùtational Complexity for Multi Objective Combinatorial Problems.- On the Existence of Cone-Efficient Points.- Pseudo-Utilities.- III. Goal Setting and Decision Making.- A Fuzzy Concept of Efficiency.- An Approach to Measuring Consistency of Preference Vector Derivations Using Least Square Distance.- Aggregation Procedures for Hierarchically Grouped Decision Attributes with Application to Control System Performance Evaluation.- A Flexible Model for Multi-Objective Optimization.- Foundation of Effective Goal Setting.- IV. Engineering Applications.- Multicriteria Optimization Procedures in Application on Structural Mechanics Systems.- V. Related Topics.- The Efficiency of a Method of Feasible Directions for Solving Variational Inequalities.- Bivariational Bounding Methods.