Researchers have developed a multi-objective optimization approach to promote sustainable AI-driven entrepreneurship in resilient economies, addressing the paradox of AI's transformative potential and substantial environmental costs. This framework seeks to balance economic growth, environmental sustainability, and social responsibility, acknowledging the significant challenges posed by AI's energy consumption and environmental footprint. By integrating AI technologies into economic development strategies, this approach aims to enhance economic resilience while minimizing adverse environmental impacts. The optimization model considers multiple factors, including energy efficiency, resource utilization, and social welfare, to foster sustainable entrepreneurship and mitigate the negative consequences of AI adoption. This research has significant implications for policymakers, entrepreneurs, and stakeholders seeking to harness AI's potential while ensuring environmental sustainability, so it matters to practitioners who need to develop strategies that balance economic growth with environmental responsibility1.