| 可拓代数引论 |
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| 引用本文： | 王鸿绪,江佩荣. 可拓代数引论[J]. 沈阳工业大学学报, 1989, 11(4): 57-66 |
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| 作者姓名： | 王鸿绪 江佩荣 |
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| 作者单位： | 辽阳石油化工专科学校(王鸿绪)，沈阳工业大学基础部(江佩荣) |
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| 摘 要： | 本文首先阐述了建立可拓子集的必要性,证明了可拓子集运算的合理性,建立了可拓格并讨论了可拓格与布尔格和Fuzzy格的异同。最后证明了在同一论域上的任意Fuzzy格都与可拓格的真子格同构,从而揭示了可拓格与Fuzzy格的内在联系。
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| 关 键 词： | 扩张 代数 集 |
Introduction of Extendible Algebra |
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| Wang Hongxu. Introduction of Extendible Algebra[J]. Journal of Shenyang University of Technology, 1989, 11(4): 57-66 |
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| Authors: | Wang Hongxu |
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| Affiliation: | Wang Hongxu(Liaoyang Petroleum and Chemical Industry Training School)Tiang Peirong ct al. (Common Courses Department) |
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| Abstract: | The necessity of extendible subsets, the proof of operations of extendible subsets, and the concept of extendible lattice are given in this paper. The difference among extendible lattice, Boolean lattice and fuzzy lattice is discussed. Finally, the essential relationship between the extendible and fuzzy lattice are discovered by the establishment of the isomorphism between the proper subset of extendible lattice and the fuzzy lattice in the same domain. |
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| Keywords: | extension algebra set |
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