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Fuzzy集上的Fuzzy数值Fuzzy测度的扩张
引用本文:翟建仁,张广全. Fuzzy集上的Fuzzy数值Fuzzy测度的扩张[J]. 河北大学学报(自然科学版), 1992, 0(2)
作者姓名:翟建仁  张广全
作者单位:河北机电学院(翟建仁),河北大学数学系(张广全)
摘    要:本文给出了Fuzzy数值Fuzzy测度的绝对值连续性的定义及Fuzzy数值Fuzzy测度的扩张定理,推广了〔1〕的结果。

关 键 词:Fuzzy测度  绝对连续  集函数的扩张  Fuzzy集

Extension of Fuzzy Number-valued Fuzzy Measure on the Fuzzy Set
Zhai Jianren. Extension of Fuzzy Number-valued Fuzzy Measure on the Fuzzy Set[J]. Journal of Hebei University (Natural Science Edition), 1992, 0(2)
Authors:Zhai Jianren
Affiliation:Zhai Jianren (Hebei Institute of Mechano- Electric Engineering)Zhang Guangquan (Department of Mathematics)
Abstract:In this paper, we discuss the extension problem for a special class of fuzzy number-valued fuzzy measure on fuzzy set and give a condition that they can be extended from a fuzzy algebra onto a fuzzy σ-algebra containing it.
Keywords:Fuzzy measure   Absolute continuous   Extension of set function   Fuzzy Set.
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