The proposed attempt should be considered as a structure for creating a task-oriented Decision Support System (DSS). This attempt is addressed at interactive investigative for reactions to queries expressed in both ways (direct or reverse), while assisting a decision maker in finding answers to such routine questions as: Does the given premise imply a desired conclusion? Is there a premise which implies the given conclusion? The main goal consists of a declarative representation allowing a decision maker to formulate direct and reverse scheduling problems regarding projects portfolio under constraints imposed by a company’s multi-project environment. It is easy to observe that our contribution can be treated as an alternative approach to Decision Support System (DSS) project that can handle distinct and imprecise decision variables and also multi-criteria questions problems. Instances, are used to illustrate the proposed methodology.