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This first volume presents the theory and methods of solving vector optimization problems, using initial definitions that include axioms and the optimality principle. This book proves, mathematically, that the result it presents for the solution of the vector (multi-criteria) problem is the optimal outcome, and, as such, solves the problem of vector optimization for the first time. It shows that applied methods of solving vector optimization problems can be used by researchers in modeling and simulating the development of economic systems and technical (engineering) systems.
Introduction
Volume 1: The theory and methods of vector optimization
Vector problems in mathematical programming (vpmp)
The theoretical bases of vector optimization
Methods for solving problems of vector optimization
Research and analysis of approaches to problemsolving in vector optimization
The theory of vector problems in mathematical programming with independent criteria
The duality of vector problems in linear programming (vplp)
The theory of management decision-making based on vector optimization