Implementation of fuzzy optimization approach to facultative wastewater stabilization ponds problem considering fuzzy parameters

Abstract

This article proposed a decision-making tool in the form of a fuzzy programming approach to be used in determining the optimal decision on facultative stabilization ponds in a wastewater treatment facility. The specific problem was approaching the uncertain inflow rate of the wastewater to the pond as a fuzzy variable and this required the formulation of a mathematical optimization model containing the variables which was solved using fuzzy programming to achieve the optimal load of the wastewater and corresponding storing time as the optimal decision. Moreover, a numerical experiment was conducted using secondary and data generated from observing the Sewon wastewater treatment facility located in Yogyakarta, Indonesia containing four facultative ponds. The results produced the optimal decision with the wastewater load for each pond found to be 1199.5 kg while the corresponding storing time was 0.23, 0.23, 0.79, and 0.71 day for the pond I, II, III, and IV respectively.