This paper presents the methodological framework for the Group Decision Support System named SCDAS. The system supports a group of decision makers working together on selecting the best alternative from a given, finite set of alternatives. The framework utilizes aspiration-led and quasisatisficing paradigms for eliciting user's preference, and the achievement function for ranking alternatives. Possible implementation of the system within the framework of a computerized teleconferencing system is discussed. Also, previous experience in applying the SCDAS system is presented.