中小企业绿色创新能力评价的HF物元可拓方法  

HF Matter-Element Extension Method for the Evaluation of Green Innovation Ability of Small and Medium-Sized Enterprises

作　　者：高志方 倪颖洁 彭定洪 GAO Zhifang;NI Yingjie;PENG Dinghong(Faculty of Management and Economics,Kunming University of Science and Technology,Kunming Yunnan 650500,China;Institute of Quality Development,Kunming University of Science and Technology,Kunming Yunnan 650500,China)

机构地区：[1]昆明理工大学管理与经济学院,云南昆明650500 [2]昆明理工大学质量发展研究院,云南昆明650500

出　　处：《生态经济》2025年第4期79-86,95,共9页Ecological Economy

基　　金：国家自然科学基金项目“支持多群组协同决策的广义犹豫模糊TOPSIS关键技术与求解途径及其应用”(71861018);国家自然科学基金项目“面向小微企业行为质量评价的复合因果链式指标框架华润优劣价值测度方法”(72261020);云南省哲学社会科学规划项目“云南省‘专精特新’中小企业快速成长影响因素及培育对策研究”(SHZK2022104)。

摘　　要：绿色创新能力评价是准确衡量中小企业经济竞争优势与绿色发展潜力的重要环节。针对中小企业绿色创新多主体参与、协调并进的特点,构建了中小企业绿色创新能力评价指标体系及犹豫模糊物元可拓方法。首先,基于可持续发展的三重底线,建立了中小企业绿色创新经济—社会—生态能力评价指标体系。其次,以犹豫模糊为基础,在综合研究并集成物元可拓方法与HF-sigmoid函数后,提出一种兼顾专家组异质性评价意见,考虑指标协调关联,体现绿色创新能力蓄势与进阶过程“先慢后快”态势的中小企业绿色创新能力评价的HF物元可拓方法。此外,基于破圈法思想优化了理想解的选取,提出一种灵活合理且兼顾指标间不规则分布的HF-Jensen-Shannon距离。最后,将所提模型应用于解决云南省5家中小企业绿色创新能力评价问题,证明了方法的合理性和可行性。The evaluation of green innovation capability is an important part of accurately measuring the economic competitive advantage and green development potential of small and medium-sized enterprises.In view of the characteristics of multi-agent coordination and parallel development of green innovation of small and medium-sized enterprises,this paper constructs an evaluation index system for green innovation ability of small and medium-sized enterprises and a hesitant fuzzy matter-element extension method.Firstly,based on the triple bottom line of sustainable development,an evaluation index system for the economic-socialecological capacity of small and medium-sized enterprises for green innovation was established.Secondly,based on the hesitant fuzzy(HF)element,after comprehensively studying and integrating the matter-element extension method and the HF-sigmoid function,an HF matter-element extension method for the evaluation of green innovation ability of small and medium-sized enterprises(SMEs)that takes into account the heterogeneity evaluation opinions of the expert group,considers the coordination and correlation of indicators,and reflects the“slow first and then fast”trend of green innovation capability accumulation and the progress process.In addition,based on the idea of circle breaking method,the selection of the ideal solution is optimized,and a flexible and reasonable HF-Jensen-Shannon distance is proposed,which takes into account the irregular distribution between indicators.Finally,the proposed model was applied to solve the evaluation problem of green innovation ability of five small and medium-sized enterprises in Yunnan Province,which proved the rationality and feasibility of the method.

关 键 词：绿色创新能力 犹豫模糊集 物元可拓 SIGMOID函数 Jensen-Shannon距离 

分 类 号：F062.2[经济管理—政治经济学] F272