纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2011年
6期
761-765
,共5页
王海涛%徐静%康淑卫%王倩
王海濤%徐靜%康淑衛%王倩
왕해도%서정%강숙위%왕천
模糊集%清晰集%隶属函数%中介数学系统%概念的完备性
模糊集%清晰集%隸屬函數%中介數學繫統%概唸的完備性
모호집%청석집%대속함수%중개수학계통%개념적완비성
fuzzy set%clear set%membership function%intermediary mathematical system%completeness of concept
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.
構造瞭兩箇例子,噹試圖用扎德的"隸屬函數"的定義去錶述例子中的模糊信息時髮現,對于列舉的例子,"隸屬函數"的定義根本"無法確切錶達"甚至根本"無法錶達"其中所蘊含的模糊信息.進而髮現,模糊數學危機產生的原因不是因為其基礎理論不完善,而是因為某些定義在噹初人們定義它時,定義的不準確造成的.所以要從根本上解決模糊數學的危機,應從"定義"這箇基本問題入手來解決.
구조료량개례자,당시도용찰덕적"대속함수"적정의거표술례자중적모호신식시발현,대우열거적례자,"대속함수"적정의근본"무법학절표체"심지근본"무법표체"기중소온함적모호신식.진이발현,모호수학위궤산생적원인불시인위기기출이론불완선,이시인위모사정의재당초인문정의타시,정의적불준학조성적.소이요종근본상해결모호수학적위궤,응종"정의"저개기본문제입수래해결.
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" .