Comprehensive Synthesis of Decision-Making in Complex Systems

This paper provides a comprehensive overview of decision-making processes and explores the evolution of Decision Support Systems (DSS) and Intelligent Decision Support Systems (IDSS). Emphasizing problem-solving and evaluation, it covers classification, evaluation criteria, and problem-solving strategies, including the assessment of approaches under system uncertainty and decision stakes. Additionally, the document delves into practical applications, investigating Agent-based Abductive Simulation Models (ABSMs), Multi-agent Systems (MASs), and Agent-based Simulation (ABS) for modeling complex systems. The role of Agent Communication Language (ACL) is examined, along with Cooperative Distributed Problem Solving (CDPS) and formalization using Propositional Horn Clause Theory (PHCT) and consistency-based diagnosis algorithms. Bridging quantitative and abductive qualitative reasoning, the paper introduces a framework for reasoning in multi-player games and HyperQuaternionE, addressing challenges in qualitative spatial and temporal reasoning through hyperbolic geometry. These models illustrate the synergy of quantitative and qualitative reasoning, offering insights into reasoning about complex systems in diverse domains. In this context, abductive reasoning modeling plays a crucial role by facilitating effective evaluation and problem-solving strategies in intricate decision-making processes.