| 关于多分结构极小集的一些性质 |
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| 引用本文： | 骆道忠,王波,李进金. 关于多分结构极小集的一些性质[J]. 华侨大学学报(自然科学版), 2022, 0(4): 561-564. DOI: 10.11830/ISSN.1000-5013.202105047 |
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| 作者姓名： | 骆道忠 王波 李进金 |
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| 作者单位： | 1. 华侨大学 数学科学学院, 福建 泉州 362021;2. 闽南师范大学 数学与统计学院, 福建 漳州 363000 |
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| 摘 要： | 针对在多分情形下,知识状态不能表示成原子的并,给出多分结构极小集的定义,将原子的概念推广为极小集.在多分结构下,任何知识状态都能表示成极小集元素的并,同时讨论极小集的相关性质.
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| 关 键 词： | 多分结构 极小集 知识状态 拟序多分空间 |
Some Properties of Minimal Sets Under Polytomous Structure |
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| LUO Daozhong,WANG Bo,LI Jinjin,' target=_blank rel=external>. Some Properties of Minimal Sets Under Polytomous Structure[J]. Journal of Huaqiao University(Natural Science), 2022, 0(4): 561-564. DOI: 10.11830/ISSN.1000-5013.202105047 |
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| Authors: | LUO Daozhong WANG Bo LI Jinjin ' target=_blank rel=external> |
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| Affiliation: | 1. School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China; 2. School of Mathematical Sciences and Statistics, Minnan Normal University, Zhangzhou 36300, China |
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| Abstract: | In the polytomous case, the state of knowledge cannot be represented as the union of atoms. In this paper, the definition of minimal set under polytomous structure is given,and the concept of atom is generalized to minimal set. In the case of polytomous structure, we show that any knowledge state can be expressed as the union of minimal set elements, the related properties of minimal set are also discussed. |
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| Keywords: | polytomous structure minimal sets knowledge state quasi-order polytomous space |
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