Search

We define the group measure matrix of the alternative scheme and the ideal scheme based on the relevant factor sequence and the system characteristic behavior sequence. Furthermore, the information distances of decision makers and decision criteria are defined, respectively. According to the information distance, we obtain each scheme's grey matrix incidence degree for the scheme ranking. Finally, we use an example to verify the rationality of the model and compare it with other classic methods, such as TOPSIS, VIKOR, MULTI-MOORA. Compared with previous grey incidence analysis model, the proposed model can make full use of information of the decision-maker dimension and the criteria dimension. The proposed model can avoid high-dimensional information loss. The results show that the proposed method has superiority in measuring decision-maker information and decision-making standard information. [ABSTRACT FROM AUTHOR]

We define the group measure matrix of the alternative scheme and the ideal scheme based on the relevant factor sequence and the system characteristic behavior sequence. Furthermore, the information distances of decision makers and decision criteria are defined, respectively. According to the information distance, we obtain each scheme’s grey matrix incidence degree for the scheme ranking. Finally, we use an example to verify the rationality of the model and compare it with other classic methods, such as TOPSIS, VIKOR, MULTI-MOORA. Compared with previous grey incidence analysis model, the proposed model can make full use of information of the decision-maker dimension and the criteria dimension. The proposed model can avoid high-dimensional information loss. The results show that the proposed method has superiority in measuring decision-maker information and decision-making standard information.

• A scheme matrix is formulated by encoding structural components. • A form-finding approach is utilized to seek the complex tensegrity structures. • A structural evaluative tactic is considered in the process of topological finding. • Through analysis of parametric sensitivity to seek the optimal topology. A scheme matrix algorithm based on 0 and −1 topological codes is proposed to find the topological form of tensegrity structures with multiple self-stress modes. Each alternative component is represented by a corresponding identifier, and the scheme matrix is then formulated by encoding structural components with the consideration of geometrical constraints (collocation condition & cross member condition). A structural evaluative tactic which reflects structural stiffness, elastic strain energy and prestress uniformity is considered in the process of topological finding. Two illustrative examples, a spatial tensegrity structure with 54 members and a prism-like tensegrity structures with 24 nodes have been fully investigated to prove the effectiveness and feasibility of the proposed method. The optimal topological configuration of tensegrities can be obtained through the analysis of weight coefficients and parametric sensitivity, which provides theoretical guidance for practical design. [ABSTRACT FROM AUTHOR]