中文摘要：

为克服传统的突变模糊公式用于室内空气评价不能普适、通用的局限,适当设定指标参照值和指标值的规范变换式,使室内空气同级标准不同指标的规范值差异尽可能小,从而用规范值表示的各指标皆与某个规范指标等效。因此任意多项指标的室内空气质量的突变模型均可用若干个尖点突变和（或）燕尾突变两种突变模型组合表示。用突变模糊指数公式对2个室内空气质量评价结果与实况相符合,基于指标规范变换的室内空气质量突变模糊指数公式具有形式简洁、计算简单和普适通用的特点。

英文摘要：

This paper intends to present the exponent formulae of catastrophe fuzzy suited to indoor air quality evaluation by means of index normalized transformation,which would be free from the none-universal and no general limitations of the traditional catastrophe fuzzy formulae.The present study sets the proper reference values and normalized forms for all the indexes,and diminishes the differences of normalized index values of all indexes in the same grade standard of indoor air,so the different indexes represented with normalized values can be equivalent.Therefore,the catastrophe model of indoor air quality with multi-indexes can be represented with combination of some models of cusp catastrophe and swallowtail catastrophe.The results of environmental quality evaluation for two indoor air cases,by using exponent formulae of catastrophe fuzzy theory,are consistent with the actual situation.It can be concluded that the index formulae of catastrophe fuzzy based on index normalized transformation has the characteristics of simple form,easy in calculation and universal in applications for indoor air quality evaluation.