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属性拓扑与属性偏序双向转化

张涛 魏昕宇 杨爽

燕山大学学报2017,Vol.41Issue(5):428-437,10.
燕山大学学报2017,Vol.41Issue(5):428-437,10.DOI:10.3969/j.issn.1007-791X.2017.05.008

属性拓扑与属性偏序双向转化

Bidirectional transformation between attribute topology and attribute partial order

张涛 1魏昕宇 1杨爽1

作者信息

  • 1. 燕山大学 信息科学与工程学院,河北 秦皇岛066004
  • 折叠

摘要

Abstract

Attribute topology and attribute partial order are put forward to represent formal context recently.Based on the coupling between attributes, the simple visual representation of the formal context is achieved by attribute topology and the various forms of calculation methods are developed.Additionally, attribute partial order is based on partial order to represent formal concept.For the complementary relationships between the two new methods in the field of formal concept analysis, the mathematical basis of the bidirectional transformation of attribute topology and attribute partial order are discussed from the perspective of set theory on this paper, where the transformation principles and methods of them are described in different binary relations.And the algorithm of the bidirectional transformation of attribute topology and attribute partial order based on the above is put forward, equivalent reversible conversion of them is achieved, and an unified representation basis for formal context is provided.

关键词

属性拓扑/属性偏序/形式背景/形式概念分析

Key words

attribute topology/attribute partial order/formal context/formal concept analysis

分类

信息技术与安全科学

引用本文复制引用

张涛,魏昕宇,杨爽..属性拓扑与属性偏序双向转化[J].燕山大学学报,2017,41(5):428-437,10.

基金项目

国家自然科学基金资助项目(61603327) (61603327)

河北省自然科学基金资助项目(F2015203013) (F2015203013)

河北省青年拔尖人才支持计划项目 ()

燕山大学学报

OA北大核心CSTPCD

1007-791X

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