中介数学系统已建立,为什么还会产生模糊数学危机  

Intermediary mathematical system has been established,why the crisis of fyzzy mathematicis still existent

作　　者：王海涛[1] 徐静[1] 康淑卫[1] 王倩[2] 

机构地区：[1]河北工程大学理学院,河北省邯郸056038 [2]邯郸学院数学系,河北省邯郸056005

出　　处：《纯粹数学与应用数学》2011年第6期761-765,共5页Pure and Applied Mathematics

基　　金：邯郸市科学技术研究与发展项目(0821120081-3)

摘　　要：构造了两个例子,当试图用扎德的"隶属函数"的定义去表述例子中的模糊信息时发现,对于列举的例子,"隶属函数"的定义根本"无法确切表达"甚至根本"无法表达"其中所蕴含的模糊信息.进而发现,模糊数学危机产生的原因不是因为其基础理论不完善,而是因为某些定义在当初人们定义它时,定义的不准确造成的.所以要从根本上解决模糊数学的危机,应从"定义"这个基本问题入手来解决.We constract two examples. When we try to use Zadeh＇s ＂membership function＂ to express thefuzzy information in the examples we find that, to our examples,the ＂membership function ＂ definition ＂cannot express accurately＂ or even ＂can not express＂ the fuzzy information which implied in the examples. Andthen, we find that the causes of fuzzy mathematics crisis is not due to the imperfection of fuzzy theory, but dueto that people inaccurately defined this definition at first. Therefore, if we want to solve the fuzzy mathematicscrisis fundamentally, we should set about this job from the fundamental problem- ＂defination＂ .

关 键 词：模糊集 清晰集 隶属函数 中介数学系统 概念的完备性 

分 类 号：O159[理学—数学]