Fuzzy Optimization: Recent Advances and Applications

ISBN-13: 9783642264078 / Angielski / Miękka / 2012 / 530 str.

Weldon A. Lodwick

Opis

This potent area of technology allows us to formulate and solve a multitude of problems. Written by leading experts, this overview covers a number of aspects of fuzzy optimization, some related general issues, and various applications of this powerful tool.

Spis treści

Introductory Sections.- Fuzziness, Rationality, Optimality and Equilibrium in Decision and Economic Theories.- to Fuzzy and Possibilistic Optimization.- Basic Issues.- Aggregation Operators for Evaluating Alternatives.- Optimization and Aggregation Functions.- Chebyshev Approximation of Inconsistent Fuzzy Relational Equations with Max-T Composition.- Various Types of Fuzzy Optimization and Fuzzy Mathematical Programming Models.- A Survey of Fuzzy Convex Programming Models.- Approaches to Linear Programming Problems with Interactive Fuzzy Numbers.- Possibilistic Optimization Tasks with Mutually T-Related Parameters: Solution Methods and Comparative Analysis.- A Parametrized Model for Optimization with Mixed Fuzzy and Possibilistic Uncertainty.- On Solving Optimization Problems with Ordered Average Criteria and Constraints.- Fuzzy Dynamic Programming Problem for Extremal Fuzzy Dynamic System.- Vaguely Motivated Cooperation.- Fuzzy Network and Combinatorial Optimization.- Computing Min-Max Regret Solutions in Possibilistic Combinatorial Optimization Problems.- Stochastic Bottleneck Spanning Tree Problem on a Fuzzy Network.- The Use of Fuzzy Numbers in Practical Project Planning and Control.- Applications.- Ant Feature Selection Using Fuzzy Decision Functions.- Application of Fuzzy Theory to the Investment Decision Process.- Decision Making Techniques in Political Management.- Mathematical Approaches for Fuzzy Portfolio Selection Problems with Normal Mixture Distributions.- Fuzzy Random Redundancy Allocation Problems.- Reliable Biological Circuit Design Including Uncertain Kinetic Parameters.- Fuzzy Optimal Algorithms for Multiple Target Convergence.- Fuzzy Linear Programming in Practice: An Application to the Spanish Football League.

Blurb

Optimization is an extremely important area in science and technology which provides powerful and useful tools and techniques for the formulation and solution of a multitude of problems in which we wish, or need, to to find a best possible option or solution. The volume is divided into a coupe of parts which present various aspects of fuzzy optimization, some related more general issues, and applications.