Title :
Logical AND model of variable precision lower approximation operator and grade upper approximation operator
Author_Institution :
Coll. of Math. & Software Sci., Sichuan Normal Univ., Chengdu, China
Abstract :
The aim of this contribution is to combine precision and grade, and explore new extended rough set model. Based on logical AND requirement of precision and grade, this paper proposes logical AND model of variable precision lower approximation operator and grade upper approximation operator. In the new model, basic structure and properties are obtained, and furthermore regular algorithm and structural algorithm are proposed and analyzed. Finally a practical example is given to illustrate the model. The new model has extended variable precision rough set model, graded rough set model and classical rough set model.
Keywords :
logic gates; mathematical operators; rough set theory; classical rough set model; grade upper approximation operator; graded rough set model; logical AND model; variable precision lower approximation operator; Algorithm design and analysis; Data analysis; Educational institutions; Humans; Mathematical model; Mathematics; Probabilistic logic; Quantization; Set theory; Technological innovation; approximation operator; artificial intelligence; grade; graded rough set; logical operation; precision; rough set model; variable precision rough set;
Conference_Titel :
Information Management and Engineering (ICIME), 2010 The 2nd IEEE International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-5263-7
Electronic_ISBN :
978-1-4244-5265-1
DOI :
10.1109/ICIME.2010.5477490
