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using System; using System.Collections.Generic; using System.Text; namespace AHP { public static class Formulas { //经验RI数组 public static double[] RI = new double[15] { 0, 0, 0.58, 0.9, 1.12, 1.24, 1.32, 1.41, 1.45, 1.49, 1.52, 1.54, 1.56, 1.58, 1.59 }; //对比较矩阵进行归一化,返回特征向量W public static double[] normalize(double[][] matrix) { int row = matrix.Length; int column = matrix[0].Length; double[] Sum_column = new double[column]; for (int i = 0; i < column; i++) { Sum_column[i] = 0; for (int j = 0; j < row; j++) { Sum_column[i] += matrix[j][i]; } } //进行归一化,计算特征向量W double[] w = new double[row]; for (int i = 0; i < row; i++) { w[i] = 0; for (int j = 0; j < column; j++) { w[i] += matrix[i][j] / Sum_column[j]; } w[i] /= row; } return w; } //进行一致性校验 public static checkResult checkCR(double[][] matrix) { checkResult res = new checkResult(); int row = matrix.Length; int column = matrix[0].Length; res.w = Formulas.normalize(matrix); //计算AW double[] aw = new double[row]; for (int i = 0; i < row; i++) { aw[i] = 0; for (int j = 0; j < column; j++) { aw[i] += matrix[i][j] * res.w[j]; } } res.body = matrix; //求和 double sum = 0; for (int i = 0; i < row; i++) { sum += aw[i] / res.w[i]; } //最大特征根 res.r = sum / column; //一致性指标 res.CI = (res.r - column) / (column - 1); //当前节点的检验系数 res.CR = res.CI / Formulas.RI[column - 1]; if (res.CR < 0.1) { res.success = true; } return res; } //将类似1/3格式的字符串转为数字 public static double CalculationFormula(string formula) { if (formula.IndexOf('/') > 0) { string[] kt = formula.Split('/'); return Double.Parse(kt[0]) / Double.Parse(kt[1]); } return Double.Parse(formula); } //代码结束 } } |