AHP的代码,Python

AHP（层次分析法）是一种用于决策的数学模型。以下是一个使用Python编写的AHP代码示例：

import numpy as np
from functools import reduce

def ahp_method(dataset, wd='m'):
    # 随机一致性指标R.I.（inc_rat）
    inc_rat = np.array([0, 0, 0, 0.58, 0.9, 1.12, 1.24, 1.32, 1.41, 1.45, 1.49, 1.51, 1.48, 1.56, 1.57, 1.59])
    
    # 数据深复制
    X = np.copy(dataset)
    
    # 生成权重向量
    weights = np.zeros(X.shape[1])
    
    # 根据权重计算方法来确定各个权重
    if (wd == 'm' or wd == 'mean'):
        # 均值
        weights = np.mean(X / np.sum(X, axis=0), axis=1)
    elif (wd == 'g' or wd == 'geometric'):
        # 几何
        for i in range(0, X.shape[1]):
            weights[i] = reduce((lambda x, y: x * y), X[i, :])**(1 / X.shape[1])
        weights = weights / np.sum(weights)
    
    # 计算特征根向量
    vector = np.sum(X * weights, axis=1) / weights
    
    # 获得平均特征根
    lamb_max = np.mean(vector)
    
    # 计算一致性指标
    cons_ind = (lamb_max - X.shape[1]) / (X.shape[1] - 1)
    
    # 一致性判断
    rc = cons_ind / inc_rat[X.shape[1]]
    
    return weights, rc