Simplest formula of axiomatic set of L-fuzzy rough approximation operator based on residuated lattice

doi:10.3778/j.issn.1002-8331.2008.36.008

Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (36): 32-33.DOI: 10.3778/j.issn.1002-8331.2008.36.008

• 博士论坛 • Previous Articles Next Articles

Simplest formula of axiomatic set of L-fuzzy rough approximation operator based on residuated lattice

WU Zheng-jiang^1,2,QIN Ke-yun³

1.Intelligent Control Development Center，Southwest Jiaotong University，Chengdu 610031，China
2.School of Science，Henan University of Science and Technology，Luoyang，Henan 471003，China
3.School of Electrical Engineering，Southwest Jiaotong University，Chengdu 610031，China

Received:2008-09-23 Revised:2008-10-30 Online:2008-12-21 Published:2008-12-21
Contact: WU Zheng-jiang

基于剩余格L模糊粗糙近似算子公理集的极简化

吴正江^1,2,秦克云³

1.西南交通大学智能控制开发中心，成都 610031
2.河南科技大学理学院，河南洛阳 471003
3.西南交通大学数学系，成都 610031

通讯作者: 吴正江

Abstract

Abstract: Axiomatic characterization of approximation operators is an important aspect in the study of rough set theory.This paper defines L-fuzzy rough approximation operator based on residuated lattice in axiomatic approach，and presents the simplest formulas of the axiom sets charactering the L-fuzzy rough approximation operators.

Key words: rough set, axiomatic approach, residuated lattice

摘要： 公理化方法是粗糙集理论研究的重要组成部分，利用公理化方法定义了基于剩余格的L模糊粗糙近似算子，并给出了描述L模糊粗糙近似算子公理集的极简形式。

关键词: 粗糙集, 公理化方法, 剩余格

WU Zheng-jiang^1,2,QIN Ke-yun³. Simplest formula of axiomatic set of L-fuzzy rough approximation operator based on residuated lattice[J]. Computer Engineering and Applications, 2008, 44(36): 32-33.

吴正江^1,2,秦克云³. 基于剩余格L模糊粗糙近似算子公理集的极简化[J]. 计算机工程与应用, 2008, 44(36): 32-33.

[1]	GAO Tianyu, WANG Qingrong, YANG Lei. Data Mining Model Based on Attribute Dependability Enhancement of Rough Set [J]. Computer Engineering and Applications, 2021, 57(3): 87-93.
[2]	WANG Qingrong, MA Chenkun. Forecast of Emergency Supplies for Case Consumption Reasoning [J]. Computer Engineering and Applications, 2021, 57(22): 281-287.
[3]	LIU Yufeng, SUN Wenxin. Generalized Multi-granulation Quantization Soft Rough Set Model [J]. Computer Engineering and Applications, 2021, 57(12): 137-143.
[4]	LIU Guizhi. Incremental Attribute Reduction of Incomplete Hybrid Data Based on Dimension Change [J]. Computer Engineering and Applications, 2021, 57(12): 161-169.
[5]	ZHANG Bo, JIA Huayu, MA Jun. Estimation of Air Condition for Unmanned Aerial Vehicle Based on RS-GA Neural Network [J]. Computer Engineering and Applications, 2020, 56(4): 209-213.
[6]	MOU En, ZHANG Xianyong, YAO Yuesong, DENG Qie. Class-Specific Attribute Reduct and Its Heuristic Algorithm of Neighborhood Approximation Condition-Entropy [J]. Computer Engineering and Applications, 2020, 56(24): 175-180.
[7]	ZHANG Jianhua, LI Fangfang, YANG Lan. Research on Matching Supply and Demand of Case Knowledge Based on PFS and RS [J]. Computer Engineering and Applications, 2020, 56(23): 139-145.
[8]	LUO Gongzhi, MEI Tao. Multi-granulation Decision-Theoretic Rough Set Method Based on Supervisory Mechanism and Its Application [J]. Computer Engineering and Applications, 2020, 56(18): 214-220.
[9]	XIE Xuming, DUAN Longzhen, QIU Taorong, YANG Youfeng. Improved Quantum Search Algorithm and Its Application on Computation of Core [J]. Computer Engineering and Applications, 2020, 56(14): 57-61.
[10]	LI Xu, RONG Zijing, REN Yan. Attribute Reduction on Weighted Decision Table [J]. Computer Engineering and Applications, 2020, 56(12): 54-59.
[11]	CHEN Panpan, LIN Menglei. Attributes Reduction of Single Valued Neutrosophic Decision Information System Based on Inclusion Degree [J]. Computer Engineering and Applications, 2020, 56(12): 175-181.
[12]	REN Jun1, TANG Qiwen1, XU Yi2, HU Shanzhong2. Research on Multi Granularity Rough Set for University Students’ Poverty Support Evaluation [J]. Computer Engineering and Applications, 2019, 55(7): 82-86.
[13]	WU Yangyang, TANG Jianguo. Research Progress of Attribute Reduction Based on Rough Set in Context of Big Data [J]. Computer Engineering and Applications, 2019, 55(6): 31-38.
[14]	QI Meilan, LI Xiaonan. Matroidal Structure Based on Set-Valued Mapping and Its Relationship with Covering Rough Sets [J]. Computer Engineering and Applications, 2019, 55(6): 50-56.
[15]	YANG Zhen, GENG Xiuli. Research on Mining Association Rules Based on Multi-Granularity Attribute Reduction [J]. Computer Engineering and Applications, 2019, 55(6): 133-139.

Simplest formula of axiomatic set of L-fuzzy rough approximation operator based on residuated lattice

基于剩余格L模糊粗糙近似算子公理集的极简化

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics