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格区间集合[L]上的t-模及其广义逆算子
引用本文:杨云. 格区间集合[L]上的t-模及其广义逆算子[J]. 培训与研究, 2008, 25(2): 1-3
作者姓名:杨云
作者单位:湖北第二师范学院数学与计量经济系,武汉430205
摘    要:在格区间集合[L]上定义t-T模及其广义逆算子αT,研究它们的性质,利用它们给出群G上格区间值Fuzzy子集组成的集合中[L]G元素的sup-T合成运算和inf-αT合成运算,得到这些运算的代数性质以及一些重要的关系式。

关 键 词:t-模  逆算子  格区间值Fuzzy子集

t-norm and Its Generalized Inverse Operation in a Set of Lattice Interval
YANG yun. t-norm and Its Generalized Inverse Operation in a Set of Lattice Interval[J]. Training and Research-Journal of Hubei College of Education, 2008, 25(2): 1-3
Authors:YANG yun
Affiliation:YANG yun (Department of Mathematics and Econometircs, Hubei University of Education, Wuhan 430205, China)
Abstract:In this paper, the maximum solution of equation Aoτ Xo=B is obtained not only from the concept and some basic properties of t-norm T and its generalized inverse operation ατ on [L], but also from the properties of oT-composition and oαT-composition on [L]^G.
Keywords:t-norm  generalized inverse operation  lattice interval value  Fuzzy set
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