The purpose of this paper is to report on the progress made in the System and Decision Sciences (SDS) research group at IIASA on the development of the decision support system DIDASS (Dynamic Interactive Decision Analysis and Support System). This system is based on methodology derived from the paradigm of satisficing decision making and the methodology of linear and nonlinear programming. The mathematical background to this approach (based on aspiration formation and the concept of scalarizing functions) is outlined in Section 2. Methods of implementation and computational aspects are discussed in Section 3. The fourth section summarizes three applications of DIDASS, and the paper ends with some conclusions.