In today's severe competitive environment the selection of appropriate suppliers is a significantly important decision for effective supply chain management. In this study a multiple sourcing supplier selection problem is considered as a multiple objective linear programming problem with fuzzy demand level. Three objective functions are minimization of costs, maximization of quality and maximization on-time delivery respectively. In order to solve the problem, a two-phased additive approach is proposed. In the first phase, ideal solutions are utilized for finding aspiration levels for each objective. In the second phase Chen&Tsai's fuzzy model is adopted for the problem. The adopted model can be efficiently used to obtain a non-dominated solution. The approach is illustrated by a numerical example.