Abstract: In this paper, we analyzed the correlation relationship among PM2.5 from other five Air Quality Indices (AQIs) based on the grey relational degree, and built a multivariate nonlinear regression equation model of PM2.5 and the five monitoring indexes. For the optimal control problem of PM2.5, we took the partial large Cauchy distribution of membership equation as satisfaction function. We established a nonlinear programming model with the goal of maximum performance to price ratio. And the optimal control scheme is given.
Abstract: The evaluation of the contribution of professional
baseball starting pitchers is a complex decision-making problem that
includes several quantitative attributes. It is considered a type of
multi-attribute or multi-criteria decision making (MADM/MCDM)
problem. This study proposes a model using the Grey Relational
Analysis (GRA) to evaluate the starting pitcher contribution for teams
of the Chinese Professional Baseball League. The GRA calculates the
individual grey relational degree of each alternative to the positive
ideal alternative. An empirical analysis was conducted to show the use
of the model for the starting pitcher contribution problem. The results
demonstrate the effectiveness and feasibility of the proposed model.