| 基于min型表现外延的反馈外延外包络 |
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| 引用本文： | 谭彦华,谷云东.基于min型表现外延的反馈外延外包络[J].北京师范大学学报(自然科学版),2005,41(5):473-476. |
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| 作者姓名： | 谭彦华 谷云东 |
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| 作者单位： | 1. 北京师范大学数学科学学院
2. 北京师范大学管理学院,100875,北京 |
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| 基金项目： | 中国科学院资助项目，南京大学校科研和教改项目，重庆市应用基础研究基金，科技部科研项目 |
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| 摘 要： | 相对于max型表现外延,给出min型表现外延的定义,利用min型表现外延构造了概念关于因素的min型反馈外延.研究了min型反馈外延与概念外延以及复杂因素min型反馈外延与简单因素min型反馈外延之间的关系,得到了与min型反馈外延相关的一些重要性质.定义了min型反馈外延外包络,给出一种从概念外延"内部"对概念外延进行逼近的方法.
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| 关 键 词： | 因素空间 概念表示 表现外延 反馈外延 反馈外延内包络 反馈外延外包络 |
| 收稿时间： | 2004-12-17 |
| 修稿时间： | 2004年12月17日 |
INNER ENVELOPE OF CONCEPT EXTENSION BASED ON MINIMAL FORM REPRESENTATION EXTENSION |
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| Tan Yanhua,Gu Yundong.INNER ENVELOPE OF CONCEPT EXTENSION BASED ON MINIMAL FORM REPRESENTATION EXTENSION[J].Journal of Beijing Normal University(Natural Science),2005,41(5):473-476. |
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| Authors: | Tan Yanhua Gu Yundong |
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| Abstract: | Corresponding to the max-type representation extension, the rain-type representation extension is defined in the paper, and then the min-type feedback extension is proposed. The relationship between the min-type feedback extension and the concept extension as well as between the min-type feedback extension on complicated factors and on simple factors is discussed. Some important properties on the min-type feedback extension are described. The outer envelope of min-type feedback extension is also defined, which can be used to approach concept extension from the inner. |
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| Keywords: | factor spaces concept representation representation extension feedback extension feedback extension envelopes |
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