The a posteriori decision in multiobjective optimization problems with smarts, promethee II, and a fuzzy algorithm

Author

Parreiras, Roberta O. ; Maciel, João H R D ; Vasconcelos, João A.

Author_Institution

Electr. Eng. Dept., Univ. Fed. de Minas Gerais, Belo Horizonte

Volume

42

Issue

4

fYear

2006

fDate

4/1/2006 12:00:00 AM

Firstpage

1139

Lastpage

1142

Abstract

In this paper, three decision making methods-Smarts, Promethee, and a fuzzy decision algorithm-were utilized to choose the final optimal solution of multiobjective problems. An inverse electromagnetic scattering problem, as well as some analytical problems, was considered in this study. The a posteriori decision was performed by applying each method to the nondominated front previously met by an evolutionary algorithm. The results confirm their usage when considering convex problems, but also show that both Smarts and Promethee can not always be applied to nonconvex problems

Keywords

decision making; electromagnetic wave scattering; inverse problems; optimisation; Promethee II; Smarts; a posteriori decision; fuzzy algorithm; inverse electromagnetic scattering problem; multiobjective optimization problems; Decision making; Delta modulation; Educational institutions; Electromagnetic analysis; Electromagnetic scattering; Evolutionary computation; Humans; Optimization methods; Utility theory; Multicriteria decision making; multiobjective optimization;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2006.871986

Filename

1608412