下方图度量下的非紧模糊数空间
하방도도량하적비긴모호수공간
On Noncompact Fuzzy Number Space with Endogragh Metric
  • 万方数据
    模糊系统与数学 모호계통여수학
    FUZZY SYSTEMS AND MATHEMATICS
    2005年 4期 109-114 ,共6页

    范丽红%樊太和

    범려홍%번태화

    非紧模糊数空间%逼近性%下方图度量 非緊模糊數空間%逼近性%下方圖度量
    비긴모호수공간%핍근성%하방도도량
    Noncompact Fuzzy Number Space%Approximative Property%Endograph Metric
    证明了非紧模糊数空间E～在下方图度量下关于模糊数的序是可逼近的.本文给出的证明方法是构造性的,从而说明了模糊数值积分如M-积分和G-积分等是可计算的.最后给出了E～中关于下方图度量的一些分析性质.
    증명료비긴모호수공간E～재하방도도량하관우모호수적서시가핍근적.본문급출적증명방법시구조성적,종이설명료모호수치적분여M-적분화G-적분등시가계산적.최후급출료E～중관우하방도도량적일사분석성질.
    In this paper it is proved that the endogragh metric is approximative with respect to orders on noncompact fuzzy number space E～. It is also shown that the endograph metric approach on orders on E～ is constructive, this shows that noncompact fuzzy-number-valued integrals such as M-integral and G-integral are computable. Finally some analytic properties with respect to the endograph metric on E～ are given.
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