کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627147 1631802 2015 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Properties of the GM(1, 1) with fractional order accumulation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Properties of the GM(1, 1) with fractional order accumulation
چکیده انگلیسی
For traditional grey model (GM(1, 1)), it is proved theoretically that the initial condition is not utilized, and the simulative value is convex and increased or is the decreased and concave when the actual sequence is nonnegative increased. These shortcomings are the results of traditional first order accumulation on grey system model. However, for the GM(1, 1) with fractional order accumulation, the initial condition is utilized, and the monotonicity and convexity of simulative value are uncertain when the actual value is nonnegative increased. The results of practical numerical examples demonstrate that the GM(1, 1) with fractional order accumulation provides very remarkable predication performance compared with the traditional GM(1, 1) model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 252, 1 February 2015, Pages 287-293
نویسندگان
, , , ,