Research on the Stability of NDGM Model with the Fractional Order Accumulation and Its Optimization
المؤلفون المشاركون
Duan, Huiming
Xiao, Xinping
Shao, Kailiang
Yang, Jinwei
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-10، 10ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2017-06-27
دولة النشر
مصر
عدد الصفحات
10
التخصصات الرئيسية
الملخص EN
The grey forecasting model has been successfully applied in numerous fields since it was proposed.
The nonhomogeneous discrete grey model (NDGM) was approximately constructed based on the nonhomogeneous index trend; it increased the applicability of discrete grey model.
However, the NDGM required accurate data and better effect when the original data did not meet the conditions and fitting and prediction errors were larger.
For this, the NDGM with the fractional order accumulating operator (abbreviated as NDGMp/q) has higher performance.
In this paper, the matrix perturbation bound of the parameters was used to analyze the stability of NDGMp/q and the NDGMp/q can decrease the disturbance bound.
Subsequently, the parameter estimation method of NDGMp/q was studied and the Particle Swarm Optimization algorithm was employed to optimize the order number of NDGMp/q and some steps were provided.
In addition, the results of two practical examples demonstrated that the perturbation of NDGMp/q was smaller than that of NDGM and provided remarkable predication performance compared with the traditional NDGM model and DGM model.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Duan, Huiming& Shao, Kailiang& Xiao, Xinping& Yang, Jinwei. 2017. Research on the Stability of NDGM Model with the Fractional Order Accumulation and Its Optimization. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1192786
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Duan, Huiming…[et al.]. Research on the Stability of NDGM Model with the Fractional Order Accumulation and Its Optimization. Mathematical Problems in Engineering No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1192786
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Duan, Huiming& Shao, Kailiang& Xiao, Xinping& Yang, Jinwei. Research on the Stability of NDGM Model with the Fractional Order Accumulation and Its Optimization. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1192786
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1192786
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر