| 格中模糊集的上、下近似算子 |
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| 引用本文： | 杨云.格中模糊集的上、下近似算子[J].培训与研究,2009,26(2):1-3,47. |
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| 作者姓名： | 杨云 |
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| 作者单位： | 湖北第二师范学院,数学与计量经济系,武汉,430205
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| 摘 要： | 本文定义了格中模糊集合的上、下近似集合，讨论了格中全体模糊集合的集合F（L）上的上、下近似算子的性质，研究F（L）的代数结构，证明在一定条件下（F（L）∧，∨，，aprR，aprR）是一个Pawlak代数。
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| 关 键 词： | 三角模 广义逆算子 上近似算子 下近似算子 模糊近似空间 |
The Upper and Lower Approximations Operator of Fuzzy Sets in a Lattice |
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| YANG Yun.The Upper and Lower Approximations Operator of Fuzzy Sets in a Lattice[J].Training and Research-Journal of Hubei College of Education,2009,26(2):1-3,47. |
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| Authors: | YANG Yun |
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| Institution: | Department of Mathematics and Econometrics;Hubei University of Education;Wuhan 430205;China |
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| Abstract: | In this paper, the concepts of the upper and lower approximations of fuzzy sets in a lattice are defined. The properties of upper and lower approximations operator are also discussed. Algebra structure of F（L） is studied. It is proved that （F（L）,∧,∨c,aprR,aprR） is a Pawlak algebra in some conditions. |
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| Keywords: | t-norm generalized inverse operation upper approximations operator lower approximations operator fuzzy approximations space |
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