A Genetic Algorithm Approach for Solving Fuzzy Linear and Quadratic Equations

In this paper a genetic algorithms approach for solving the linear and quadratic fuzzy equations Ãx̃=B̃ and Ãx̃² + B̃x̃=C̃ , where Ã, B̃, C̃ and x̃ are fuzzy numbers is proposed by genetic algorithms. Our genetic based method initially starts with a set of random fuzzy solutions. Then in each generation of genetic algorithms, the solution candidates converge more to better fuzzy solution x̃_b . In this proposed method the final reached x̃_b is not only restricted to fuzzy triangular and it can be fuzzy number.

• M. Hadi Mashinchi
• M. Reza Mashinchi
• Siti Mariyam H. J. Shamsuddin

• Fuzzy coefficient
• fuzzy equation
• genetic algorithms.

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