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有界模糊数的比较与排序
引用本文:高德宝.有界模糊数的比较与排序[J].唐山师范学院学报,2011,33(2):33-35.
作者姓名:高德宝
作者单位:黑龙江八-农垦大学文理学院,黑龙江大庆,163319
摘    要:利用两模糊数之间的距离公式,将模糊数之间的比较转换为模糊数与纵轴距离之间的比较。在此基础之上定义了模糊数空间上的序关系,并证明了它们的一些性质。这种方法的排序效果与人们的直觉是一致的且不悖逆于实数的自然序。利用距离方法定义的序关系,便于理解与计算机实现。

关 键 词:模糊数  距离  指标  排序

Comparison and Sorting of Bounded Fuzzy Numbers
GAO De-bao.Comparison and Sorting of Bounded Fuzzy Numbers[J].Journal of Tangshan Teachers College,2011,33(2):33-35.
Authors:GAO De-bao
Institution:GAO De-bao(College of Arts and Science,Heilongjiang Bayi Agricultural University,Daqing 163319,China)
Abstract:By use of the distance formula of two fuzzy numbers,a comparison between the fuzzy numbers will be converted into a comparison on distance of the fuzzy numbers and the longitudinal axis.On this base,it defines the order relationship on the fuzzy number and proves some of their properties.This sorting method is consistent to people’s intuition and the real number.By use of the order relation defined by the distance method,it is easy to understand and be realized by the computer.
Keywords:fuzzy number  distance  index  sorting
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