基于不完备背景的3类SE-ISI概念约简

朱朵朵; 任睿思; 赵思雨; 魏玲

doi:10.16152/j.cnki.xdxbzr.2023-05-014

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基于不完备背景的3类SE-ISI概念约简

形式概念分析中的概念约简 | 更新时间：2023-10-30

- 基于不完备背景的3类SE-ISI概念约简
- Three types of SE-ISI concept reduction based on incomplete contexts
- 西北大学学报（自然科学版） 2023年53卷第5期页码：821-829
- 作者机构：
  
  1.西北大学　数学学院，陕西　西安　710127
  2.西北大学　概念、认知与智能研究中心，陕西　西安　710127
  3.闽南师范大学　数学与统计学院，福建　漳州　363000
- 作者简介：
  
  朱朵朵，女，从事形式概念分析、粒计算、三支决策理论研究，duoduo_zl@163.com。
  魏玲，女，教授，博士生导师，从事形式概念分析、粒计算、三支决策理论等研究，wl@nwu.edu.cn。
- 基金信息：
  
  国家自然科学基金(12171392;62006190);西北大学研究生创新项目(CX2023065)
- DOI：10.16152/j.cnki.xdxbzr.2023-05-014
  中图分类号：
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朱朵朵, 任睿思, 赵思雨, 等. 基于不完备背景的3类SE-ISI概念约简[J]. 西北大学学报（自然科学版）, 2023,53(5):821-829.

ZHU Duoduo, REN Ruisi, ZHAO Siyu, et al. Three types of SE-ISI concept reduction based on incomplete contexts[J]. Journal of Northwest University (Natural Science Edition), 2023,53(5):821-829.
朱朵朵, 任睿思, 赵思雨, 等. 基于不完备背景的3类SE-ISI概念约简[J]. 西北大学学报（自然科学版）, 2023,53(5):821-829. DOI： 10.16152/j.cnki.xdxbzr.2023-05-014.

ZHU Duoduo, REN Ruisi, ZHAO Siyu, et al. Three types of SE-ISI concept reduction based on incomplete contexts[J]. Journal of Northwest University (Natural Science Edition), 2023,53(5):821-829. DOI： 10.16152/j.cnki.xdxbzr.2023-05-014.

摘要

在不完备背景中，SE-ISI概念具有丰富的不确定信息，然而不是所有SE-ISI概念都是必需的。该文研究不完备背景中不同情形下的SE-ISI概念约简获取理论与方法。首先，分别定义保持正信息、保持广义正信息与保持关系不变的SE-ISI概念约简，并分析3类SE-ISI概念约简间的关系；其次，引入SE-ISI代表概念矩阵，基于该矩阵给出3类SE-ISI概念约简的获取方法；最后，从SE-ISI代表概念矩阵角度讨论SE-ISI概念在3类SE-ISI概念约简下的特征与联系。

Abstract

In incomplete contexts, SE-ISI concepts contain abundant uncertain information, but not all SE-ISI concepts are necessary. This paper studies the theories and methods of SE-ISI concept reduction under different situations in incomplete contexts. First, SE-ISI concept reductions preserving positive information, generalized positive information and relation are defined, respectively. Then, the relationships between the three types of SE-ISI concept reduction are analyzed. Moreover, by introducing the SE-ISI representative concept matrix, the methods of obtaining three types of SE-ISI concept reduction are given. Finally, the characteristics and relationships of SE-ISI concepts under three types of SE-ISI concept reduction are discussed from the perspective of SE-ISI representative concept matrix.

关键词

不完备背景SE-ISI概念约简SE-ISI代表概念矩阵SE-ISI概念特征

Keywords

incomplete contextSE-ISI concept reductionSE-ISI representative concept matrixSE-ISI concept characteristics

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