Autors: Peeva, K. G., Zahariev, Z. V.
Title: Optimization of linear cost function with fuzzy max-product relational equation constraints
Keywords: linear optimization; max −product fuzzy linear equations;

Abstract: An optimization problem is studied with linear objective function subject to a system of fuzzy linear equations using max−product composition. Since the solution set of the system is non-convex, conventional linear programming methods cannot be applied. We apply methods for solving fuzzy linear system of equations when the composition is max-product, as proposed in [23]. These methods provide algorithm for computing the maximum solution and the set of all minimal solutions, when the system is consistent. After computing all extremal solutions of the system, we propose a method to solve the linear optimization problem.

References

    Issue

    32th International Conference AMЕE, pp. 261-272, 2007, Bulgaria, Softtrade, ISBN 978-954-334-050-7

    Full text of the publication

    Вид: публикация в международен форум