Bøger i Vector Optimization serien

This book highlights a new direction of multiobjective optimization. It introduces sophisticated methods for sequential approximate multiobjective optimization using computational intelligence along with real applications, mainly engineering problems.

The theory of Vector Optimization is developed by a systematic usage of infimum and supremum. This book presents a completely new approach to the topic. It covers the range from theory to algorithms, and includes a self-contained chapter on the linear case.

The scope of applications is illustrated by chapters related to vector optimization, set-valued optimization, and optimization under uncertainty, by fundamental statements in nonlinear functional analysis and by examples from mathematical finance as well as from consumer and production theory.

Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces.

This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems.

This book presents adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarization approaches. Readers will benefit from the new adaptive methods and ideas for solving multiobjective optimization.

This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes.

We always come cross several decision-making problems in our daily life. The most important and difficult part in such problems is the conflict between various objectives and goals. Such problems are called vector optimization problems (VOP),multi-criteria optimization problems or multi-objective optimization problems.

We always come cross several decision-making problems in our daily life. The most important and difficult part in such problems is the conflict between various objectives and goals. Such problems are called vector optimization problems (VOP),multi-criteria optimization problems or multi-objective optimization problems.

Variable Ordering Structures in Vector Optimization

This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed.