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| 论域合成的商空间关系 | |
| 引用本文： | 王加阳,陈思力,陈林书,李力.论域合成的商空间关系[J].控制与决策,2015,30(10):1911-1914. |
| 作者姓名： | 王加阳 陈思力 陈林书 李力 |
| 作者单位： | 1. 中南大学信息科学与工程学院，长沙410083； 2. 哈尔滨工业大学深圳研究生院，广东深圳518055. |
| 基金项目： | 国家自然科学基金项目(61173052)；湖南省自然科学基金项目(14JJ4007). |
| 摘 要： | 研究各商空间之间的转换以及各商空间之间的关系是商空间理论的重要内容. 对若干给定商空间的论域进行下、上确界合成, 分别得到了粒度更细与更粗的商空间; 讨论下、上确界合成论域之间的关系; 通过定义粘合映射的概念, 研究3 类商空间之间的关系; 提出并证明对于给定原空间的任意两个商空间??1 和??2, ??2 是??1 的商空间所满足的条件. 进一步丰富和完善了粒计算的理论体系. |
| 关 键 词： | 商空间|粒计算|合成 |
| 收稿时间： | 2014/7/29 0:00:00 |
| 修稿时间： | 2015/3/3 0:00:00 |
Relationship between quotient spaces under domain combination |
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| WANG Jia-yang CHEN Si-li CHEN Lin-shu LI Li.Relationship between quotient spaces under domain combination[J].Control and Decision,2015,30(10):1911-1914. | |
| Authors: | WANG Jia-yang CHEN Si-li CHEN Lin-shu LI Li |
| Abstract: | The research of the conversion and the relationship between each quotient space are important contents of the quotient space theory. Finer and coarser granularity quotient space can be obtained by conducting the infimum and supremum combination on the domain of some given quotient space. The relationship between the infimum and the supremum combination of domain is discussed. The relationship between the three types of quotient space is researched by defining the conception of the bonding mapping. The conditions are proposed and proved that, for any two quotient space ??1 and ??2 of the given original space, ??2 is the quotient space of ??1. The theoretical system of granular computing are enriched and improved further. |
| Keywords: | quotient space|granular computing|combination |
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