IMPLICATION OF FUZZY LOGIC IN GA FOR SOLVING MATHEMATICAL PROBLEMS

Md. Bashir Uddin Khan, Md. Al-Amin Bhuiyan, A K M Mahbubur Rahman · 2007

This paper presents a robust and novel approach to find the roots of mathematical equations using genetic algorithm. A modified approach of genetic algorithm has been provided where fuzzy logic has been used for chromosomes selection. A GA formula has also been presented to solve equations with multiple iterations in order to justify the error versus iteration graph. Finally, a comparison between the results of solving the same equation by GA with fuzzy logic and those without fuzzy logic has been furnished. Experimental results demonstrate that GA with fuzzy logic is more successful and efficient than that without fuzzy logic for solving equations.

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