Papers by Keyword: Gray Relation

Abstract: The indices system for the evaluation of green degree of concrete is established based on the function, durability and environmental protection of green concrete with involving both quantitative and qualitative analyses. Primary data is processed according to the green relation theory and in the meantime, analytic hierarchy process (AHP) is adopted to achieve the weight of indices, and in this way, the levels of the evaluation is fully expressed. The calculation of the correlation coefficient of each level leads to the concrete with the highest green degree, through which the evaluation of the green degree of concrete is received. And the example in this paper also proves the feasibility of the method above.

Abstract: Abstract: Some appropriate print samples (according to the ISO standards of ink color values) were selected to set up a mathematical model which showed the relationship between density and color. The model was based on Support Vector Machine algorithm. Another evaluation system was established based on Gray Relation to decide the contribution of K, ΔL*, Δa* and Δb* to density. The final mean square error of the training sample and testing sample was 0.001 and 0.003 respectively. The evaluation system showed that the biggest impact on C，M，Y，K solid ink density was Δa* , ΔL*, K and Δb* respectively, the grey relational degree was 0.7587，0.8340, 0.7591 and 0.8711 respectively. The results of this study indicated that vector machine algorithm could accurately predict density values from chromaticity values and that the grey evaluation system of the solid ink density can be used to evaluate how big the influence of K，ΔL*，Δa*，Δb* on solid density are in offset printing.

Abstract: Complicated and variational relation among the factors of the pregnant environment, resulted that, it was hard to orderly sentence the connection from the pregnant risk factors to the overall slope safety. Through differentiating risk relational factors into the extreme variation, same directional matrix was established for the pregnant environment safety of earthquake-induced underground engineering slope. Gray relation Analysis Model was established on the pregnant environment of earthquake-induced underground engineering slope, which was integrated with entropy information of same directional matrix. Model calculated out the gray relation degree and variation coefficient among the sample data sequence of the observed units, and finally sentenced the overall safety of underground engineering slope systemically. Example showed that toward the multi-objective decision-making problem for the safety assessment of underground engineering slope, model possessed with a scientific, simple, practical feature, whose outcome revealed the full status of the slope pregnant environment.

Abstract: A new method called Grey Relation Modal Flexibility Curvature Difference (GRMFCD)is proposed and applied to the numerical experiment and experimental research of a substructure. The results show the ability of GMFCD to locate the inflicted damage and qualitatively evaluate its severity for single and multiple scenarios, with only a few lower order modal parameters. The effectiveness and advantages of GMFCD as compared to the flexibility indicators, such as the change in flexibility, the curvature of the flexibility difference, are demonstrated.