Optimization Model for Foundation Bearing Layers Based on Set Pair Analysis and Information Entropy

Optimization of foundation bearing layer is a complex system problem due to influences of the random, uncertain and fuzzy factors. Herein, based on information entropy theory and set pair analysis theory, a optimization model used approaching degree is described to select a rational bearing layer for foundation design in this paper. Identical degree of set pair between the evaluated bearing layer scheme and the best optimal scheme is calculated and the identical degree set is established, then approaching degrees between the optimal scheme and each scheme are calculated and used to optimization. The method used to integrate weight, combined internal information of evaluation indexes with experiences of experts, is also discussed. Moreover, the result from practical example and comparison with fuzzy mathematic optimization method show that this proposed method is feasible, easy and effective to select bearing layer.