The dynamic nature of negotiation and decision-making necessitates a flexible negotiation decision support system (NDSS) that can systematically investigate real-world strategic conflicts with a wide range of preference information with uncertainty. However, most of the existing decision support system, such as GMCR II under the framework of the graph model for conflict resolution (GMCR), is only capable of handling simple preference. This research develops a new NDSS based on an algebraic representation to implement modeling and analysis for GMCR. More specifically, an algebraic approach using option prioritizing to generate unknown preference is proposed and then implemented to build an efficient and flexible modeling and analysis system. This new system may provide decision makers with valuable strategic insights for negotiations and decisions, especially in dynamic conflict environments. The procedure of applying the proposed theory and system is demonstrated using a South Sudan conflict with unknown preference involving the third-party intervention.

谈判和决策的动态特性需要一个灵活的谈判决策支持系统 (NDSS)，它可以系统地研究现实世界的战略冲突，其中包含广泛的具有不确定性的偏好信息。然而，大多数现有的决策支持系统，例如冲突解决图模型（GMCR）框架下的GMCR II，只能处理简单的偏好。本研究开发了一种基于代数表示的新 NDSS，以实现 GMCR 的建模和分析。更具体地说，提出了一种使用选项优先级生成未知偏好的代数方法，然后实施以构建高效且灵活的建模和分析系统。这个新系统可以为决策者提供关于谈判和决策的宝贵战略见解，尤其是在动态的冲突环境中。使用涉及第三方干预的未知偏好的南苏丹冲突演示了应用所提出的理论和系统的程序。