Introduction.- Linear Bi-level Programming.- Possibility Theory and Fuzzy Optimization.- Fuzzy Interactive Multi-level Decision Making.- Aggregation of Fuzzy Systems in Multi-level Decisions.- Multi-level Optimization by Fuzzy Dynamic Programming.- Auction Mechanisms for Solving Multi-level Programming.- Neural Networks for Solving Multi-level Programming.- Metaheuristics for Multi-level Optimization.

This book offers a comprehensive overview of cutting-edge approaches for decision-making in hierarchical organizations. It presents soft-computing-based  techniques, including fuzzy sets, neural networks, genetic algorithms and particle swarm optimization, and shows how these approaches can be effectively used to deal with problems typical of this kind of organization. After introducing the main classical approaches applied to multiple-level programming, the book describes a set of soft-computing techniques, demonstrating their advantages in providing more efficient solutions to hierarchical decision-making problems compared to the classical methods. Based on the book Fuzzy and Multi-Level Decision Making (Springer, 2001) by Lee E.S and Shih, H., this second edition has been expanded to include the most recent findings and methods and a broader spectrum of soft computing approaches. All the algorithms are presented in detail, together with a wealth of practical examples and solutions to real-world problems, providing students, researchers and professionals with a timely, practice-oriented reference guide to the area of interactive fuzzy decision making, multi-level programming and hierarchical optimization.

Describes fuzzy approaches and nature-inspired algorithms for solving multi-level programming problems Focuses on the decision-making process in hierarchical organizations Presents a wealth of techniques together with their application to real-world problems