Search

Taking into account the importance of principle of new information priority on grey system theory, a distinguishing method of buffer operators whether meet the principle of new information priority is put forward. It is proved that the popular strengthening buffer operator did not meet the principle of new information priority, but reflects the priority of old data by using the linear least squares perturbation theory. That is the newer data is perturbed, the smaller perturbation bound; the older data is perturbed, the larger perturbation bound under the equal perturbation. The usefulness of distinguishing method is validated by a real example. [ABSTRACT FROM AUTHOR]

The psychological problems of job burnout have attracted more attention in resent years. Experts believe that job burnout can be better intervened if its evolution process is analyzed. The aim of the research is to study the process in which job burnout naturally develops, intervened and interacts among subjects, and to describe the development and evolution process of job burnout under different circumstances. Therefore, the paper established a network evolution model of subjects' information limited interaction, and the model was simulated and analyzed. Firstly, according to the characteristics of small world in interpersonal relationship network, a small world network was generated by using NW method, and the overall level of job burnout was evaluated. Secondly, because job burnout's process of psychological damage and intervention is slow and dynamic, a dynamic model was established on the basis of job burnout's natural development and qualities of being intervened and limited interactive. In addition, self-adjustment factors of the subjects in the relationship network were added to the model. Finally, a conclusion was drawn through simulation and analysis that the mismatch between the intervention ability and the natural development condition would lead burnout to diffuse, the reinforcement of the interaction between subjects in the network would lead burnout level to higher synchronization, and subjects' selfadjustment will significantly affect the propagation of burnout among group members. [ABSTRACT FROM AUTHOR]

Why grey model is suitable for small sample is explained. Take discrete grey model as an example, based on matrix perturbation theory, we prove that the larger sample, the bigger perturbation bound and the smaller sample, the smaller perturbation bound under the equal perturbation when we use the traditional grey first order accumulate. The fractional order accumulate grey model is defined in order to reduce perturbation bound and its availability and practicality are verified by an example. [ABSTRACT FROM AUTHOR]

The convexity, concavity and the relative convexity of positive discrete series are denned, on this basis, the proximity of relative convexity among relevant factors is used to measure relation degree, we present the novel grey convex relation degree, the properties of the grey convex relation degree are discussed. We also put forward the independence from interference factors of the order of grey relations, and point out that the convex relation and other 6 kinds of grey relation degree satisfy the independence from interference factors, the grey relation degree put forward by Julong Deng could not satisfy the independence from interference factors. An example is given to illustrate that the grey convex relation degree can more really reflect the correlation degree among relevant factors sequences. [ABSTRACT FROM AUTHOR]

Research on objective index weight configuration in the field of multiple attribute decision making is conducted in this paper. Evaluating objects are divided into different grey categories according to essential natural characteristics by grey correlation clustering method. Maximum entropy configuration model of objective index weight is built based on the similarity of natural characteristics difference in the same grey category and the diversity of natural characteristics difference of the different grey categories. In case study, comparative analysis with other methods is conducted. The results demonstrate that the model in this paper is feasible and effective. So, a new solution to objective index weight configuration in the field of multiple attribute decision making is put forward. [ABSTRACT FROM AUTHOR]

The problem of seeking weights of decision-makers and attributes is studied in multi-attribute group decision making with interval grey numbers. For avoiding conflict between subjective weights and objective ones computed from attributes' values given by decision makers, the comprehensive weights are calculated by combining subjective weights and objective ones, where objective weights of attributes are obtained by using the maximum entropy model under the constrains of grey relation degree between the optimal project and every one. While, based on the degree of group consensus and information distribution, the weights of decision-makers are obtained by the maximum entropy thought and grey relation degree between every decision maker's comprehensive evaluations and average group evaluations. Finally, an aggregation approach of group decision making with interval grey numbers is presented. The numerical example is proved to verify the proposed method is more reasonable than other methods. [ABSTRACT FROM AUTHOR]