Purchasing a property entails making rankings, comparisons, and trade-offs among various housing characteristics. When trying to sell a house, real estate brokers take on an important role as a middle-person between the seller and buyer. Thus, this research sets up a dynamic price recommendation method for housing purchases and applies the fuzzy multiple criteria decision making (FMCDM) technique, so as to realize housing quality and evaluation. We utilize this method based on the prospect theory of the loss aversion effect, in order to aid real estate brokers’ job of coordinating between the seller and buyer. The method helps us to provide an objective view of the evaluation matrix. From the pricing strategy, the results are able to match price versus quality and improve brokers’ intermediation effects. The brokers can subsequently make recommendations regarding a suitable price, decisions on negotiation strategies to reach an agreement, and settle upon an acceptable price.

The transition of thermal power systems toward lower-carbon electricity raises a critical strategic question: whether to rely on cross-border electricity imports or reactivate domestic nuclear capacity under supply constraints. This study examines the trade-offs between these alternatives within a sustainable finance framework. A contingent-claim model is developed in which a life insurer provides long-term financing to a biomass-energy supplier, a thermal power plant, and a nuclear power plant operating under carbon-pricing regulation. The framework links electricity-market decisions with financial risk valuation, allowing the joint effects of biomass utilization, carbon regulation, electricity imports, and nuclear-security risks to be evaluated. The results show that biomass integration and tighter carbon regulation reduce short-term profitability in thermal generation but support long-run decarbonization. Cross-border electricity imports improve system flexibility and reduce operational volatility, strengthening the financial position of thermal producers. In contrast, nuclear-security disruptions significantly increase default risk for nuclear assets, reflecting their exposure to operational and regulatory uncertainty. By integrating energy-transition strategies with contingent-claim valuation, the analysis highlights the role of financial intermediation in shaping investment incentives and risk allocation in the electricity sector. The findings suggest that coordinated policies combining market integration, low-carbon transition strategies, and stable financing mechanisms can enhance system resilience.