ON THE APPLICATION OF FUZZY-SETS THEORY TO THE OPTIMAL FLOOD-CONTROL PROBLEM ARISING IN WATER-RESOURCES SYSTEMS

We first survey the application of fuzzy sets theory to various problems occurring in water resources systems. The problem of optimal flood control planning by an appropriate integration of structural and non-structural measures with the objective of optimizing the flood damage reduction due to recurrent floods is modeled via fuzzy sets methodologies. A two level optimization model appropriate for planning decisions first on a regional or local level and then on a national level is proposed. A third phase involving coordination is appended. In particular, a fuzzy optimization model involving an adroit combination of fuzzy dynamic programming-type reasoning and a branch and bound-type search procedure is offered as a more utilitarian approach than its crisp equivalent. The performance of the algorithm is illustrated with an example.