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Fuzzy Optimization of Complex Systems Using Approximation Concepts

[+] Author and Article Information
Hector A. Jensen

Department of Civil Engineering, Federico Santa Maria University, Casilla 110 V, Valparaiso, Chile

Abdon E. Sepulveda

Mechanical and Aerospace Engineering Department, University of California, Los Angeles CA 90095

Appl. Mech. Rev 50(11S), S97-S104 (Nov 01, 1997) doi:10.1115/1.3101857 History: Online April 20, 2009

Abstract

This paper presents a methodology for the efficient solution of fuzzy optimization problems. Design variables, as well as system parameters are modeled as fuzzy numbers characterized by membership functions. An optimization approach based on approximation concepts is introduced. High quality approximations for system response functions are constructed using the concepts of intermediate response quantities and intermediate variables. These approximations are used to replace the solution of the original problem by a sequence of approximate problems. Optimization techniques for non-differentiable problems which arise in fuzzy optimization are used to solve the approximate optimization problems. Example problems are presented to illustrate the ideas set forth.

Copyright © 1997 by American Society of Mechanical Engineers
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