A genetic algorithm approach for solving fuzzy linear and quadratic equations

• Main Authors: Mashinchi, M. Hadi, Mashinchi, M. Reza, Shamsuddin, Siti Mariyam
• Format: Article
• Published: World Acad Sci, Eng & Tech-Waset 2007
• Subjects: QA75 Electronic computers. Computer science; TK Electrical engineering. Electronics Nuclear engineering
• Online Access: http://eprints.utm.my/id/eprint/11636/
• Institution: Universiti Teknologi Malaysia

Iin this paper a genetic algorithms approach for solving the linear and quadratic fuzzy equations (Ax) over tilde = (B) over tilde and (Ax) over tilde (2) + (Bx) over tilde = (C) over tilde, where (A) over tilde, and (B) over tilde, (C) over tilde and (x) over tilde 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 (x) over tilde (b). in this proposed method the final reached (x) over tilde (b) is not only restricted to fuzzy triangular and it can be fuzzy number.