| 相对隶属度,相对Fuzzy集和相关子空间及其性质 |
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| 引用本文： | 白永成,郑亚林.相对隶属度,相对Fuzzy集和相关子空间及其性质[J].陕西师范大学学报,1997,25(2):20-24. |
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| 作者姓名： | 白永成 郑亚林 |
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| 作者单位： | 汉中师范学院数学系(白永成)，宝鸡文理学院数学系(郑亚林) |
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| 基金项目： | 陕西省教委专项科研基金 |
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| 摘 要： | 建立了相对隶属度、相对Ｆｕｚｚｙ集、相对Ｆｕｚｚｙ点和相关子空间等概念，研究其基本性质，证明了相对Ｆｕｚｚｙ集族ＢＡＩＸ是完全分配格，相关算子ｆ是从ＩＸ到ＢＡＩＸ的满ＧＯＨ，非退化相对Ｆｕｚｚｙ点集ＢＡＭ是ＢＡＩＸ中所有非零∪－既约元之集．得到了子分子格ＢＡＩＸ＊与相关分子格ＢＡＩ＊是代数同构的，广义子空间ＢＡＩＸ＊与相关子空间ＢＡＩＸ是拓扑同胚的等结果
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| 关 键 词： | 相对隶属度 相对Fuzzy集 相对Fuzzy点 相关子空间 Fuzzy余拓扑空间 拓扑分子格 |
Relative grade of membership, relative fuzzy set and associate subspace |
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| Bai Yongcheng ,Zheng Yalin.Relative grade of membership, relative fuzzy set and associate subspace[J].Journal of Shaanxi Normal University: Nat Sci Ed,1997,25(2):20-24. |
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| Authors: | Bai Yongcheng Zheng Yalin |
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| Institution: | Bai Yongcheng 1,Zheng Yalin 2 |
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| Abstract: | The concepts of relative grade of membership, relative fuzzy set, relative fuzzy point and associated subspace are introduced, their basic properties are discussed. It is proved that the family B AI X is a completely distributive lattice, the associated operator f is a surjective GOH from I X to B AI X , the set of the non degeneracy relative fuzzy is just the set of all molecules in B AI X , B AI X and B AI X * are algebraically isomorphic, generalized subspace B AI X * and associated subspace are topologically homeomorphic. |
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| Keywords: | membership relative grade relative fuzzy set relative fuzzy point associated subspace fuzzy cotopological space topological molecular lattice |
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