定义在复模糊数上的复模糊值函数的收敛性

发布时间：2018-05-04 04:14

本文选题：模糊数 + 复模糊数　；参考：《哈尔滨理工大学学报》2017年01期

【摘要】：把所有的关于y轴对称的模糊数都定义为零模糊数,在此基础之上给出了复模糊值函数的极限定义,并研究复模糊值函数的收敛性。得到了一系列关于收敛的复模糊值函数极限的结论,包括复模糊值函数的极限是唯一的,收敛的复模糊值函数具有局部有界性和局部保号性,以及复模糊值函数极限的线性运算性质;给出了复模糊值函数的收敛判别法,柯西收敛准则。此复模糊值函数是定义在复模糊数集F(C)上取值于F(C)(所有的复模糊数的集合)中的复模糊数的函数。
[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).
【作者单位】：哈尔滨学院信息工程学院;
【基金】：黑龙江省教育厅科学技术研究项目(12543040)
【分类号】：O159

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