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《College Mathematics》 2018-01
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Incidence Degree Model of Discrete Gray Number with Subjective Valued Orientation

XIONG Ping-ping;SUN Xin;YAO Tian-xiang;WANG Zheng-xin;College of Mathematics and Statistics,Nanjing University of Information Science and Technology;China Institute of Manufacturing Development,Nanjing University of Information Science and Technology;College of Economy and Management,Nanjing University of Information Science and Technology;School of Economics,Zhejiang University of Finance & Economics;  
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 discrete gray number extends the applied scope of gray incidence degree.
【Fund】: 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)
【CateGory Index】: N941.5
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