本文選題：模糊數(shù) + 復模糊數(shù)　； 參考：《哈爾濱理工大學學報》2017年01期

【摘要】：把所有的關于y軸對稱的模糊數(shù)都定義為零模糊數(shù),在此基礎之上給出了復模糊值函數(shù)的極限定義,并研究復模糊值函數(shù)的收斂性。得到了一系列關于收斂的復模糊值函數(shù)極限的結論,包括復模糊值函數(shù)的極限是唯一的,收斂的復模糊值函數(shù)具有局部有界性和局部保號性,以及復模糊值函數(shù)極限的線性運算性質;給出了復模糊值函數(shù)的收斂判別法,柯西收斂準則。此復模糊值函數(shù)是定義在復模糊數(shù)集F(C)上取值于F(C)(所有的復模糊數(shù)的集合)中的復模糊數(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】： 哈爾濱學院信息工程學院;
【基金】：黑龍江省教育廳科學技術研究項目(12543040)
【分類號】：O159

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