A New Fuzzy Dominance GA Applied to Solve Many-Objective Optimization Problem

This paper studies the fuzzification of the Pareto dominance relation and its application to the design of evolutionary many-objective optimization algorithms. A generic ranking scheme is presented that assigns dominance degrees to any set of vectors in a scale- independent, nonsymmetric and set-dep...

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Bibliographic Details
Published in:ICICIC 2007 : second International Conference on Innovative Computing, Information and Control : 5-7 September 2007 p. 617
Main Authors: Gaoping Wang, JianJun Wu
Format: Conference Proceeding
Language:English
Published: IEEE 01.09.2007
Subjects:
Arithmetic
Constraint optimization
Decision making
Design engineering
Design optimization
Fuzzy sets
Genetic algorithms
Information science
Pareto optimization
Testing
ISBN:0769528821, 9780769528823
Online Access:Get full text
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Summary:This paper studies the fuzzification of the Pareto dominance relation and its application to the design of evolutionary many-objective optimization algorithms. A generic ranking scheme is presented that assigns dominance degrees to any set of vectors in a scale- independent, nonsymmetric and set-dependent manner. Different fuzzy-based definitions of optimality and dominated solution are introduced. The corresponding extension of the Standard Genetic Algorithm, so-called Fuzzy-Dominance GA (FDGA), will be presented as well. To verify the usefulness of such an approach, the approach is tested on analytical test cases in order to show its validity.
ISBN:0769528821
9780769528823
DOI:10.1109/ICICIC.2007.49