Model Application:
Used to evaluate the type of problem, such as which program to choose the best, player or staff who perform better
definition:
problem:
Choose a school problem:
Tourist destination choice:
Example:
Weight Definition: the following table, the weight is divided into weight objectives of the program under the index weight and a metric weight, that is, learning atmosphere of the index weight in all indicators a weight of 0.4, the target program Branch right in the learning environment indicators a weight of 0.7. AHP goal is to find the index weight and the weight of the objectives of the program table, so decision-making scheme.
Se:
Using the scoring method to solve the evaluation problem, as long as we can supplement complete the next chart form: the same color and 1 means the right for a certain share of the weight factor.
problem analysis:
In general, the evaluation objectives and alternatives are known, evaluation criteria or indicators need to be screened for references topic background, knowledge and online.
References preference HowNet (or Articles, academic Baidu, Google Scholar and other platforms) search for relevant literature.
If no: + search team members to brainstorm on the platform or expert opinions of others.
Recommended sites: insect tribe - quick search https://search.chongbuluo.com/ . Search priority priority: Google / Baidu, micro-channel search, know almost searches search key selection factors such as travel, choose what factors tourist attractions, tourist attractions evaluation indicators.
The key point (step):
Seeking index weight and the weight program:
The idea of divide and rule to determine the weight matrix
Comparison between the heavy weight index was determined judgment matrix OC
The positive reciprocal matrix :( judgment called matrix)
2. For a right index comparison between options weight, determined judgment matrix CP
As above
3. Consistency Test
Because steps 1 and 2 may appear contradictory problems:
Solution: consistency test
4. The right to obtain index weight and objectives of the program re-form
Two cases:
① If it is determined matrix is consistent with a matrix, i.e., do not have to verify the consistency, the matrix must be consistent, then weight calculation method: for any one normalized, because each of the tabulated proportions consistent matrix.
② If the matrix is not uniform matrix is determined, the need for consistency check, if the consistency check through, and then re-seeking based on the determination weight matrix.
方法1：算术平均法求权重
方法2：几何平均法求权重
方法3：特征值法求权重（使用最多）
5.将计算结果填入权重表
一致性检验：
在O-C判断矩阵求指标权重之前、在C-P判断矩阵求某个指标下的目标方案权重之前要进行一致性检验，若一致性检验通过即CR<0.1，才可计算权重，计算权重时需进行归一化处理；若不通过一致性检验，需修改判断矩阵直到通过一致性检验。
一致矩阵的性质：各行/列之间成倍数关系，但倍数不一定相等。
一致性检验原理：
检验构造的判断矩阵和一致矩阵是否有太大的差别。判断矩阵越不一致时，最大特征值与n相差就越大。
总览：
层次分析法局限性：
拓展：
多个准则层：
准则层对应非全部方案：只需将权重设置为0即可
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每个方案层只有一个准则层：对应权重设置为0即可
