定義在復(fù)模糊數(shù)上的復(fù)模糊值函數(shù)的收斂性
發(fā)布時(shí)間:2018-05-04 04:14
本文選題:模糊數(shù) + 復(fù)模糊數(shù); 參考:《哈爾濱理工大學(xué)學(xué)報(bào)》2017年01期
【摘要】:把所有的關(guān)于y軸對(duì)稱的模糊數(shù)都定義為零模糊數(shù),在此基礎(chǔ)之上給出了復(fù)模糊值函數(shù)的極限定義,并研究復(fù)模糊值函數(shù)的收斂性。得到了一系列關(guān)于收斂的復(fù)模糊值函數(shù)極限的結(jié)論,包括復(fù)模糊值函數(shù)的極限是唯一的,收斂的復(fù)模糊值函數(shù)具有局部有界性和局部保號(hào)性,以及復(fù)模糊值函數(shù)極限的線性運(yùn)算性質(zhì);給出了復(fù)模糊值函數(shù)的收斂判別法,柯西收斂準(zhǔn)則。此復(fù)模糊值函數(shù)是定義在復(fù)模糊數(shù)集F(C)上取值于F(C)(所有的復(fù)模糊數(shù)的集合)中的復(fù)模糊數(shù)的函數(shù)。
[Abstract]:All the fuzzy numbers about y axisymmetric are defined as zero fuzzy numbers. On this basis, the limit definition of complex fuzzy-valued functions is given, and the convergence of complex fuzzy-valued functions is studied. A series of conclusions about the limit of convergent complex fuzzy-valued function are obtained, including the limit of complex fuzzy-valued function is unique, the convergent complex fuzzy-valued function has local boundedness and locally preserving sign. The convergence criterion of complex fuzzy-valued function and Cauchy convergence criterion are given. This complex fuzzy-valued function is a function of complex fuzzy numbers defined on a set of complex fuzzy numbers, which is defined as a complex fuzzy number valued in the set of all complex fuzzy numbers (sets of all complex fuzzy numbers).
【作者單位】: 哈爾濱學(xué)院信息工程學(xué)院;
【基金】:黑龍江省教育廳科學(xué)技術(shù)研究項(xiàng)目(12543040)
【分類號(hào)】:O159
【參考文獻(xiàn)】
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