@article {IOPORT.06091229, author = {Wang, Haitao and Xu, Jing and Kang, Shuwei and Wang, Qian}, title = {Intermediary mathematical system has been established, why is the crisis of fuzzy mathematics still existent.}, year = {2011}, journal = {Pure and Applied Mathematics}, volume = {27}, number = {6}, issn = {1008-5513}, pages = {761-765}, publisher = {Northwest University, Department of Mathematics, Xian}, abstract = {Summary: We construct two examples. When we try to use Zadeh's ``membership function" to express the fuzzy information in the examples we find that, to our examples, the ``membership function" definition ``can not express accurately" or even ``can not express" the fuzzy information which implied in the examples. And then, we find that the causes of fuzzy mathematics crisis is not due to the imperfection of fuzzy theory, but due to that people inaccurately defined this definition at beginning. Therefore, if we want to solve the fuzzy mathematics crisis fundamentally, we should set about this job from the fundamental problem - ``definition".}, identifier = {06091229}, }