DocumentCode
518757
Title
Notice of Retraction
Product model of grade lower approximation operators based on two parameters
Author
Xianyong Zhang
Author_Institution
Coll. of Math. & Software Sci., Sichuan Normal Univ., Chengdu, China
Volume
4
fYear
2010
fDate
27-29 March 2010
Firstpage
436
Lastpage
440
Abstract
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
Grade is an important quantitative index, and graded rough set model is an important improved rough set model. This paper is to explore product operation of grade lower approximation operators. Based on logical product operation, this paper proposes product model of grade lower approximation operators based on two parameters. Essence, basic structure and properties are obtained in the new model. Macroscopic algorithm and structural algorithm are proposed and analyzed, and by comparison it obtains an important conclusion that structural algorithm has advantages in time complexity and space complexity. Finally an example is given to illustrate the new model and its algorithms. Product model of grade lower approximation operators based on two parameters has extended graded rough set model partially, and it obtains idempotent property of grade lower approximation operators.
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
Grade is an important quantitative index, and graded rough set model is an important improved rough set model. This paper is to explore product operation of grade lower approximation operators. Based on logical product operation, this paper proposes product model of grade lower approximation operators based on two parameters. Essence, basic structure and properties are obtained in the new model. Macroscopic algorithm and structural algorithm are proposed and analyzed, and by comparison it obtains an important conclusion that structural algorithm has advantages in time complexity and space complexity. Finally an example is given to illustrate the new model and its algorithms. Product model of grade lower approximation operators based on two parameters has extended graded rough set model partially, and it obtains idempotent property of grade lower approximation operators.
Keywords
approximation theory; computational complexity; mathematical operators; rough set theory; grade lower approximation operator; graded rough set model; logical product operation; macroscopic algorithm; product model; quantitative index; space complexity; structural algorithm; Algorithm design and analysis; Application software; Approximation algorithms; Data analysis; Educational institutions; Intelligent structures; Mathematical model; Mathematics; Set theory; Software algorithms; approximation operator; artificial intelligence; grade; graded rough set; logical product operation; macroscopic algorithm; rough set theory; structural algorithm;
fLanguage
English
Publisher
ieee
Conference_Titel
Advanced Computer Control (ICACC), 2010 2nd International Conference on
Conference_Location
Shenyang
Print_ISBN
978-1-4244-5845-5
Type
conf
DOI
10.1109/ICACC.2010.5486916
Filename
5486916
Link To Document