| 关于集对论数学基础的一些问题 |
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| 引用本文： | 冯祥树.关于集对论数学基础的一些问题[J].石家庄学院学报,1999(2). |
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| 作者姓名： | 冯祥树 |
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| 作者单位： | 石家庄师专数学系 河北石家庄050801 |
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| 摘 要： | 从纯粹数学的角度出发,明确“集对”就是“序偶集”。在指出对象间发生“关系”总有“有”、“无”,“不确定”三种可能之后,给出了同一性序偶、对立性序偶、差异性序偶三个新概念,并且重新定义了两个有限集的联系度、同一度、差异度和对立度。对于“何谓集对分析”及“集对分析法”可以解决何样的问题,做了初步探讨和说明。最后对一个实例进行了具体的“集对分析”,并且总结出用“集对分析法”解决集对间关于某关系的优劣状况的评判问题的一般方法和步骤。
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| 关 键 词： | 集对 序偶集 同一性序偶 对立性序偶 差异性序偶 联系度 同异反联系式 集对分析 |
Problems of mathematical basis on SPT |
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| Feng Xiangshu.Problems of mathematical basis on SPT[J].Journal of Shijiazhuang University,1999(2). |
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| Authors: | Feng Xiangshu |
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| Institution: | Feng Xiangshu |
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| Abstract: | This paper makes clear that set pair is collection of ordinal pair from pure mathematical points of view. First,it points out there are three relations may happen between objects; existence, inexis-tence and uncertainty. Then it puts forward to three new concepts-identical,different and antagonistic ordinal pair. At the same time,this paper gives new definitions of the relation,the identity,the difference and the antagonism between two finite collections. Furthermore.it tentatively discusses and explains what is SPA and what kind of problems can be solved by using method of SPA manner. Finally.it applies SPA to analysing an example concretely,and draws a conclusion that method of SPA manner can estimte between set pair whether the state of some relation is good or not,and gives its general methods and steps of estimation as well. |
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| Keywords: | set pair set of ordinal pair relation identical ordinal pair antigonistic ordinal pair different ordinal pair relative degree set pair analysis |
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