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This paper investigates the use of grey theory to enhance the concept of an R-fuzzy set, with regards to the precision of the encapsulating set of returned significance values. The use of lower and upper approximations from rough set theory, allow for an R-fuzzy approach to encapsulate uncertain fuzzy membership values; both collectively generic and individually specific. The authors have previously...
Based on the present theories of buffer operators, this paper proposes a kind of buffer operator, which all has the universality and practicability. We address the characteristics and the internal relations between these buffer operators. All of these effectively resolve the questions, which often come forth in modeling forecasting of disturbed data sequence by shock wave and there are some contradictions...
This article reviews the existing algorithm models of the grey incidence and finds that no method has the properties of normality and isotonicity synchronously, and then analyzes the corresponding reasons. Finally, it gives several study results.
Model of grey linear program is one of good methods on the process of finding the solution of grey matrix game. Studying interchangeabilities of grey mixed optimal strategy, we certify necessary and sufficient condition that there is grey mixed optimal strategy in the grey matrix game, which the grey game value between player 1 and 2 is equality in the grey saddle point. Based on these, we prove that...
Grey numbers can be represented as their kernels and associated degrees of greyness. Therefore, the operation between kernels of grey numbers has significance in the application of grey numbers. This paper investigates the operations of grey numbers using their kernels and degrees of greyness and provides conditions for the application of real number operations to their kernels.
A critical issue in case-based reasoning (CBR) is to retrieve a usefully similar case to the problem. There are three approaches to case retrieving: nearest-neighbor, inductive, and knowledge-guide. This article utilizes a hybrid approach using grey incidence theory to case-based retrieval process in an attempt to increase the overall classification accuracy. We propose a new approach based on the...
As Jiangsu province ranks in rapid economic development area in China, its electricity consumption gets an increasingly grow in recent years. It is meaningful and significant to forecast its electricity consumption tendency. GM(1,1) and GM(0,N) are applied to look insight into the tendency in the paper. The models have good accuracy. Through the models, we find that the electricity consumption of...
The GM(1,1) model assume the sequence is analogous to exponential law. Great error appears when it is used to simulate many nonlinear sequences. The paper proves that the growth rates of the simulated value of the GM(1,1) model and the discrete GM(1,1) model are both fixed value. If the growth rates of the primary sequence are equate, the fitted value deriving from the discrete GM(1,1) model the same...
According to the data of Chinese OFDI industry structure and its domestic industrial output structure during 2003 and 2006, the absolute degree of grey incidence, the relative degree of grey incidence and the synthetic degree of grey incidence are calculated, so as to analyze the influence of OFDI on domestic industrial structure adjustment. It is shown that there is a close relationship between the...
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