具有主观取值倾向的离散灰数关联模型  

Incidence Degree Model of Discrete Gray Number with Subjective Valued Orientation

作　　者：熊萍萍[1,2] 孙鑫 姚天祥[3] 王正新 XIONG Ping-ping;SUN Xin;YAO Tian-xiang;WANG Zheng-xin(College of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China;China Institute of Manufacturing Development,Nanjing University of Information Science and Technology,Nanjing 210044,China;College of Economy and Management,Nanjing University of Information Science and Technology,Nanjing 210044,China;School of Economics,Zhejiang University of Finance&Economics,Hangzhou,310018,China)

机构地区：[1]南京信息工程大学数学与统计学院,南京210044 [2]南京信息工程大学中国制造业发展研究院,南京210044 [3]南京信息工程大学经济管理学院,南京210044 [4]浙江财经大学经济学院,杭州310018

出　　处：《大学数学》2018年第1期18-24,共7页College Mathematics

基　　金：国家自然科学基金项目(71701105;71503103;71301060;71271226;71171116);教育部人文社科青年基金项目(17YJC630182;17YJC630123);江苏省高校自然科学研究面上项目(15KJB120008);国家社科基金项目(15BTJ019);中国博士后基金面上项目(2016M601849);中国制造业发展研究院2014年度开放课题(SK20140090-13);2017年大学生实践创新训练计划省级重点项目(201710300041)

摘　　要：基于具有主观取值倾向的标准离散灰数在二维直角坐标平面映射的思想,在灰形、灰心和灰单元格概念的基础上,提出了灰段和灰单元条的概念,分别描述标准离散灰数相邻灰元与取值倾向围成的图形和相邻离散灰数之间对应灰元所围成的图形.然后以灰心的横坐标、灰单元条面积为对象,分别以灰心纵坐标的离差和灰单元格面积方差的离差为权重,构造具有主观取值倾向的离散灰数关联模型.最后,通过实例验证了具有主观取值倾向的离散灰数灰色关联模型的有效性与可行性.Based on space mapping of standard discrete gray number with subjective valued orientation,gray segment and gray cell strip were defined to describe the shape of possible values between the adjacent two standard discrete gray numbers and the area of adjacent two elements.With the horizontal ordinate sequence of gray cell strips,a new incidence degree model of discrete gray numbers which has subjective valued orientation with the dispersion of the vertical ordinate sequence of gray and the variance of the area in gray cell grid.Finally,an example demonstrates the calculation process of the new model.The incidence degree model of discretegray number extends the applied scope of gray incidence degree.

关 键 词：离散灰数关联度 主观取值倾向 灰段 灰单元条 

分 类 号：N941.5[自然科学总论—系统科学]