The current study evaluates the financial innovation life cycle for renewable energy investments. A novel model is proposed that has two stages. First, the financial innovation life cycle is weighted by the two-generation technology S-curve (TTSC) for renewable energy investments. Second, the TTSC is ranked with integer patterns for renewable energy investments. For this purpose, the decision-making trial and evaluation laboratory (DEMATEL) is considered with q-rung orthopair fuzzy sets (q-ROFSs). A comparative examination is then performed using intuitionistic and Pythagorean fuzzy sets, and we find similar results for all fuzzy sets. Hence, the suggested model is reliable and coherent. Maturity phase 1 is the most significant phase of the financial innovation life cycle for these projects. Aging is the most important period for financial innovation in renewable energy investment projects—renewable energy companies should make strategic decisions after that point. In this situation, decisions should relate to either radical or incremental innovation. If companies do not make decisions during these phases, innovative financial products cannot be improved. As a result, renewable energy companies will not prefer financing products.

中文翻译：

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基于Q-ROF DEMATEL的整数代码序列和多种技术S曲线的可再生能源投资金融创新生命周期模式识别

当前的研究评估了可再生能源投资的金融创新生命周期。提出了一种具有两个阶段的新颖模型。首先，金融创新生命周期由可再生能源投资的两代技术S曲线（TTSC）加权。其次，TTSC 按可再生能源投资的整数模式进行排名。为此，决策试验和评估实验室 (DEMATEL) 考虑使用 q 梯级正交模糊集 (q-ROFS)。然后使用直觉模糊集和毕达哥拉斯模糊集进行比较检查，我们发现所有模糊集都有相似的结果。因此，所建议的模型是可靠且一致的。成熟期第一阶段是这些项目金融创新生命周期中最重要的阶段。老龄化是可再生能源投资项目金融创新最重要的时期，可再生能源企业应在此后做出战略决策。在这种情况下，决策应该与根本性创新或渐进式创新相关。如果企业不在这些阶段做出决策，创新的金融产品就无法改进。因此，可再生能源公司不会青睐融资产品。