The Further Discussion of Distribution and Characters of Grey Potential Degrees
(0) Grey number has become a very important and useful tool to describe the pay-off matrix of game due to the inevitable defect of information and the limited rationality of human.The conception system of Grey Potential Degrees,including Grey Superiority Potential Degree,Grey Inferior Potential Degree and Grey Total Potential Degree of two grey numbers is built up in exiting research.This paper is to further discuss the distribution,the characters and the changing of these Grey Potential Degrees.Distribution of Grey Potential Degree is discussed in the paper and Grey Superiority Degree is divided into three areas,Absolutely Superiority,Relative Superiority and No Superiority.And Grey Inferior Potential Degree is divided into three parts,Absolutely Inferiority,Relative Inferiority and No Inferiority.It is found that any two grey numbers could be in some special situation of No Superiority to Each other,No Inferiority to Each other,Unit Superiority Potential.When they are same grey numbers,all Grey Potential Degrees are in value of zero.Grey Potential Degrees of Grey Numbers can be in mutual influence.They are connected with the length of grey numbers.According to the dimension of position and the dimension of length of grey umbers,the changing and tendency of three kinds of Grey Potential Degrees are stimulated,accounted and figured in paper.The growing tendencies of Grey Potential Degrees are presented when one grey number moves from left side to right side of the other grey number.Closer the lengths of two grey numbers are,nearer the Grey Superiority Potential Degree and Grey Inferior Potential Degree.
grey number grey potential degree distribution
Aiqing Ruan Yinao Wang
City College,Wenzhou University,Wenzhou,Zhejiang 325035;College of Economics and Management,Nanjing College of Mathematics and Information Science,Wenzhou University,Wenzhou,Zhejiang 325035
国内会议
武汉
英文
12-20
2016-04-22（万方平台首次上网日期，不代表论文的发表时间）