格值模糊下近似算子的唯一公理刻画

doi:10.6040/j.issn.1671-9352.0.2014.105

山东大学学报（理学版） ›› 2014, Vol. 49 ›› Issue (10): 78-82.doi: 10.6040/j.issn.1671-9352.0.2014.105

格值模糊下近似算子的唯一公理刻画

李令强^1,2, 李庆国¹

1. 湖南大学数学与计量经济学院, 湖南长沙 410082;
2. 聊城大学数学科学学院, 山东聊城 252059

收稿日期:2014-03-20 出版日期:2014-10-20 发布日期:2014-11-10
通讯作者: 李庆国(1963-),男,博士,教授,博士生导师,研究方向为Domain信息系统.E-mail:liqingguoli@yahoo.com.cn E-mail:liqingguoli@yahoo.com.cn
作者简介:李令强(1980-),男,博士,副教授,研究方向为拓扑与粗集.E-mail:lilingqiang0614@126.com
基金资助:
国家自然科学基金资助项目(11371130);湖南省科技计划项目资助(2012RS4029);山东省自然科学基金资助项目(ZR2013AQ011)

The characterizations of lattice-valued fuzzy lower approximation operators by a unique axiom

LI Ling-qiang^1,2, LI Qing-guo¹

1. College of Mathematics and Econometrics, Hunan University, Changsha 410082, Hunan, China;
2. Department of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China

Received:2014-03-20 Online:2014-10-20 Published:2014-11-10

摘要/Abstract

摘要： 公理化是研究粗集理论的重要方式。一般的公理系统都含有多个公理。在剩余格值环境下,给出了由格值模糊关系和一系列特殊的格值模糊关系生成的格值模糊下近似的唯一公理刻画。

关键词: 格值模糊粗集, 公理, 格值模糊关系, 外积

Abstract: Axiomatic approaches are important in the study of rough set theory. Generally, the axiomatic systems of rough sets consist of more than one axiom. In this paper, under the residuated lattice-valued context, we use only one axiom to describe the lower approximation generated by the lattice-valued fuzzy relations and a series of special lattice-valued fuzzy relations.

Key words: lattice-valued fuzzy relations, lattice-valued fuzzy rough sets, out products, axioms

中图分类号:

O159.1

李令强, 李庆国. 格值模糊下近似算子的唯一公理刻画[J]. 山东大学学报（理学版）, 2014, 49(10): 78-82.

LI Ling-qiang, LI Qing-guo. The characterizations of lattice-valued fuzzy lower approximation operators by a unique axiom[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(10): 78-82.

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格值模糊下近似算子的唯一公理刻画

The characterizations of lattice-valued fuzzy lower approximation operators by a unique axiom

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