Multiobjective Optimization Based on Rough Set Theory: Methodology and Application

Abd Elsameea Hussein, Mohamed, Allah A. Mousa, Abd, A. Elsaw

ISBN 10: 3659846856 / ISBN 13: 9783659846854

Published by LAP LAMBERT Academic Publishing, 2016

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Bibliographic Details

• Title: Multiobjective Optimization Based on Rough Set Theory: Methodology and Application
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2016
• Language: English
• ISBN 10: 3659846856
• ISBN 13: 9783659846854
• Binding: paperback
• Condition: New
• Book Type: book

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Synopsis

In this book we present a new optimization algorithm, the proposed algorithm operates in two phases: in the first one, multiobjective version of genetic algorithm is used as search engine in order to generate approximate true Pareto front. This algorithm based on concept of co-evolution and repair algorithm for handling nonlinear constraints. Also it maintains a finite-sized archive of non-dominated solutions which gets iteratively updated in the presence of new solutions based on the concept of ε-dominance. Then, in the second stage, rough set theory is adopted as local search engine in order to improve the spread of the solutions found so far. The results, provided by the proposed algorithm for benchmark problems, are promising when compared with exiting well-known algorithms. Also, our results suggest that our algorithm is better applicable for solving real-world application problems (Economic Environmental Dispatch of Power Systems).

About the Author

Dr. Eng. Mohamed Abd Elsameea Hussein received the B.Sc. degree in Electrical Engineering and M.Sc. ,PhD. in Engineering Mathematics from Faculty of Engineering, Menoufiya University, Egypt. His current research interests include: Evolutionary Multiobjective Optimization,Genetic Algorithms, Rough Set and Numerical Optimization.