Fuzzy数理论的几个重要定理  

Some Important Theorems of Fuzzy Number

作　　者：吴全华 

机构地区：[1]廊坊师范高等专科学校数学系,河北廊坊065000

出　　处：《模糊系统与数学》1999年第4期53-57,共5页Fuzzy Systems and Mathematics

摘　　要：给出Fuzzy 数集上(下)确界的新定义,证明了确界定理、单调收敛定理、闭区间套定理及柯西收敛原理,从而得出了任何有界闭区间[a。Weintroducea new definition ofthe leastupperbound and the greatestlower bound ofasetoffuzzy num bersand discusssom e im portanttheorem soffuzzy num bers: superm um theorem ,m onotone convergence theorem ,nested intervals theorem ,Cauchy criterion forconvergence. As a resultthe bounded closed interval[a,b] iscomplete.

关 键 词：模糊数 单调收敛定理 确界定理 闭区间套定理 

分 类 号：O159[理学—数学]