Title :
Product Operation of Grade Upper Approximation Operator and Grade Lower Approximation Operator Based on Two Parameters
Author :
Zhang, Xianyong ; Mo, Zhiwen ; Xiong, Fang
Author_Institution :
Coll. of Math. & Software Sci., Sichuan Normal Univ., Chengdu, China
Abstract :
Grade is an important quantitative index, and graded rough set model is an important improved rough set model. The purpose of this paper is to explore product operation of grade approximation operators. Based on logical product operation of grade approximation operators, this paper proposes product operation of grade upper approximation operator and grade lower approximation operator based on two parameters. Essence, basic structure and properties are obtained, in the model of product operation of grade upper approximation operator and grade lower approximation operator based on two parameters. Macroscopic algorithm and structural algorithm are proposed and analyzed, and they are illustrated by an example.
Keywords :
formal logic; rough set theory; artificial intelligence; grade lower approximation operator; grade upper approximation operator; graded rough set model; logical product operation; macroscopic algorithm; quantitative index; structural algorithm; Algorithm design and analysis; Approximation algorithms; Data analysis; Educational institutions; Intelligent structures; Logic; Mathematical model; Mathematics; Rough sets; Set theory;
Conference_Titel :
Information Engineering and Computer Science, 2009. ICIECS 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4994-1
DOI :
10.1109/ICIECS.2009.5362798