Title :
Improvement on calculation of generalized absolute grey relational grade based on the point-wise annihilating operator
Author :
Qi-hua, Dai ; Yong-Ming, Chen
Author_Institution :
Coll. of Math., Chengdu Univ. of Inf. Technol., Chengdu, China
Abstract :
As for Liu Si-feng´s formula of generalized absolute grey relational grade, Cao Ming-xia argued that |si-s0| should be measured by the actual area between two polygonal lines of sequences, and proposed Cao-improved generalized absolute grey relational grade. In this paper, first, we indicate that Cao´s method still has limitation, and we argue that |si| and |s0| should also be measured by actual area besides |si-s0| in the formula; Secondly, we show the limitation of the starting-point annihilating operator, and then propose the point-wise annihilating operator and improve the generalized absolute grey relational grade based on the point-wise annihilating operator.
Keywords :
computational geometry; grey systems; Liu Si-feng formula; generalized absolute grey relational grade; point-wise annihilating operator; polygonal lines of sequences; starting-point annihilating operator; Area measurement; Information technology; Intelligent systems; Mathematics; Shape;
Conference_Titel :
Grey Systems and Intelligent Services, 2009. GSIS 2009. IEEE International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-4914-9
Electronic_ISBN :
978-1-4244-4916-3
DOI :
10.1109/GSIS.2009.5408353