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将突变级数法和指标偏离度思想相结合,提出基于突变级数法的障碍诊断模型.该模型对诊断目标进行多层次分解,然后利用突变理论与模糊数学相结合产生突变模糊隶属函数,再对指标偏离度进行综合量化运算,得到各层次指标的障碍水平,进而对指标障碍水平进行排序分析.模型既考虑了诊断对象的动态性,又在诊断过程中避免了指标权重计算,克服了主观赋权的局限,提供了障碍诊断的新思路,拓展了突变级数法的应用.利用该模型对我国327家中小企业上市公司2009年的成长性障碍进行了诊断,得到各个公司在成长能力、盈利能力、资金营运能力、市场预期和公司规模5个方面的障碍水平,深化了中小企业成长性评价的研究,结果也验证了模型的有效性.
Combining the idea of catastrophe progression and index deviation, this paper proposes a fault diagnosis model based on the catastrophe progression method, which decomposes the diagnosis target by multiple levels and uses mutation theory and fuzzy mathematics to generate mutation fuzzy membership function. Then, The indicators of the degree of deviation of the integrated quantitative operation, the obstacles at all levels of indicators to get the level of indicators of obstacles to sort the analysis of the model not only considered the diagnostic object of the dynamic, but also in the diagnostic process to avoid the index weight calculation to overcome the subjective The limitation of empowerment provides a new idea of obstacle diagnosis and expands the application of catastrophe progression method.This model is used to diagnose the growth obstacles of 327 listed SMEs in China in 2009, Profitability, capital operation ability, market expectancy and company size in five aspects of the level of obstacles to deepen the growth of small and medium-sized enterprise research, the results also verify the effectiveness of the model.