Calculation of Global Optimum for Multi-Decision Problems Using Multi-Objective Optimization Algorithms

This document presents the application of multi-objective optimization algorithms to calculate global optimal solutions for multi-decision problems. The implemented algorithm not only computes Pareto-optimal solutions but also incorporates a decoding procedure that transforms optimization results into interpretable formats. The decoding program typically handles solution representation conversion, constraint validation, and result visualization, enabling better comprehension and practical application of optimization outcomes. Key algorithmic components may include NSGA-II (Non-dominated Sorting Genetic Algorithm II) or MOEA/D (Multi-Objective Evolutionary Algorithm Based on Decomposition) for population-based optimization, with fitness functions designed to handle multiple conflicting objectives simultaneously. This approach significantly enhances decision-making quality by providing diverse optimal solutions along the Pareto front, with clear implementation guidelines for real-world deployment.