Papers by Keyword: New Information

Abstract: As the monotonic decreasing data the traditional grey model is characteristic with low accuracy, using the opposite-direction accumulated generating operation, making full use of the new information, the formula of the parameters was induced and the grey new information GOM(1,1) model was established based on opposite-direction accumulated generating operation. It provides a new way for the grey model. The examples show the model is practical and reliable.

Abstract: As the monotonic decreasing data the traditional grey model is characteristic with low accuracy, using reciprocal generating operation, making full use of the new information, optimizing the background values, the formula of the parameters was induced and the grey new information GRM(1,1) model was established based on reciprocal accumulating and background value optimization. It provides a new way for the grey model. The examples show the new information model has high accuracy than the non-new information model.

Abstract: For the problem of lower precision as well as lower adaptability in non-equidistant GM(1,1) model, applying the new information principle, modeling method of Grey system and accumulated generating operation of reciprocal number, a non-equidistant new information GRM(1,1) model generated by accumulated generating operation of reciprocal number was put forward which was taken the nth component as the initialization. Based on index characteristic of grey model and the definition of integral, the background value in non-equidistant GRM(1,1) was researched and the discrete function with non-homogeneous exponential law was used to fit the accumulated sequence and optimum formula was given. The formula of background value of new information GRM(1,1) model can be used in non-equal interval & equal interval time series and has the characteristic of high precision as well as high adaptability. Example validates the practicability and reliability of the proposed model.

Abstract: Monotonically decreasing sequence data for the use of traditional modeling methods to establish the grey model accuracy is not high, grey GM (1,1) model, there is a deviation, the model does not meet the conditions for coordination, generated using the definition of reverse accumulation, full use of system information and unbiased grey GM (1,1) model parameters of the model derived formula, based on reverse incremental build new interest generated by an unbiased model grey GOM (1,1) model for the grey model provides a new method. Data processing examples show that the model's practicality and reliability.

Abstract: Monotonically decreasing sequence data for the traditional modeling method using the gray model accuracy is not high , and GM (1, 1) modeling method has inherent deviation , Model does not meet the compatibility condition, using Accumulated Generating Operation in reciprocal number ,make best use of last information and GM (1, 1) modeling , is deduced and the parameters optimization grey derivative calculation formula ,and then established GRM(1,1) based on accumulated generating operation in reciprocal number on the equidistance, Gray provides a new method of modeling . Data processing examples show that the model's practicality and reliability.

Abstract: Monotonically decreasing sequence data for the traditional modeling method using the gray model accuracy is not high, using Accumulated Generating Operation in reciprocal number, utilize three gray derivative processing method is deduced and the parameters optimization grey derivative calculation formula, and then established GRM(1,1) based on accumulated generating operation in reciprocal number on the equidistance, Gray provides a new method of modeling. Data processing examples show that the model's practicality and reliability.

Abstract: The accuracy of the traditional grey model is not high for the monotonic decreasing data. The paper uses the opposite-direction accumulated method and makes full use of new information combined with optimization of the background values. It induces the formula of the parameters in the model and establishes the grey new information GOM(1,1) model in which it is based on the opposite-direction accumulated operation and optimization of the background values. It is a new method of the grey model. The examples show it is with higher accuracy than that of non-new information model.