A combined approach for the stochastic optimisation of multiminima problems using adaptive fuzzy sets and radial basis functions

Author

Alotto, P. ; Bertoni, A. ; Molinari, G. ; Nervi, M. ; Brandstaetter, B. ; Magele, Ch ; Richter, K.R. ; Ragusa, C. ; Repetto, M.

Author_Institution

Dipt. di Ingegneria Elettrica, Genoa Univ., Italy

Volume

34

Issue

5

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

2837

Lastpage

2840

Abstract

The present paper discusses a technique, based on the combined use of Radial Basis Functions (RBF), which provide an analytical approximation of the true cost function, and self adaptive fuzzy sets, which allow a flexible combination of conflicting objectives, for the stochastic optimisation of multiminima problems. The proposed technique is fully described, its features of interest for industrial level design optimisation are outlined and some initial positive results are presented

Keywords

electromagnetic devices; fuzzy set theory; interpolation; optimisation; stochastic processes; EM device design; adaptive fuzzy sets; analytical approximation; cost function; industrial level design optimisation; multiminima problems; radial basis functions; stochastic optimisation; Algorithm design and analysis; Cost function; Equations; Fuzzy sets; Interpolation; Optimization methods; Response surface methodology; Robustness; Sampling methods; Stochastic processes;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.717660

Filename

717660