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The problems which remain for further studying in grey system theory are identified. Including the synthesis axiom of degree of greyness for “multiplication” and “division”, how to construct and select a suitable buffer operator? how to select and test a grey prediction model? how to build a negative grey incidence analysis models? the test rules and criteria of grey clustering evaluation models,...
The scientific background that grey systems theory comes into being, the astonishing progress that grey systems theory has made in the world of learning and its wide-ranging applications in the entire spectrum of science, and the characteristics of unascertained systems include incomplete information and inaccuracies in data are presented in this paper. The scientific principle of simplicity and how...
A model which meets the law of grey exponent has been constructed for sequences based on the analysis of modeling mechanism in grey systems theory. And data in these sequences also meet the law of grey exponent. After the model is constructed, we make some simulations and present a numerical example. The result indicates that the prediction accuracy from this new model is much higher than that from...
Grey relational analysis is an important part of the grey systems theory, and it is the basis of the grey clustering analysis, grey decision-making and grey controlling. In this paper, we provided the definitions of parallel, uniform and order-keeping properties. We constructed a new grey relational model. By theoretical proving we knew that the model is not only satisfied to the normality, whole...
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