Analytic hierarchy process of MATLAB

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One 、 Limitations of the solution

The decision-making level of evaluation should not be too much , Too many words n Will be a big , Judgement matrix and - The resulting matrix may vary greatly .

(1) The object of comparison - Generally, it is much larger than two .( For example, compare a class The achievement of )
(2) The indicators of comparison are often more than - - In terms of , For example, grades 、 Working hours 、 course
Outside competition scores, etc .
(3) There are many indicators that do not have theoretical maximum and minimum values , For example, measuring economic growth
Long level indicators : GDP growth .
 

Construct a scoring formula for

The main ways to solve evaluation problems are as follows

① The purpose of our evaluation What is the logo ?
② We are What are the options to achieve this goal ?
③ Criterion of evaluation Or what are the indicators ? 
 

Two 、 The steps of analytic hierarchy process

1、 Analyze the relationship between various factors in the system , Establish the hierarchical structure of the system . 

2. Construct judgment matrix

3. The relative weight of the compared element to the criterion is calculated from the judgment matrix , And conduct consistency inspection ( The weight can only be used after passing the test )

There are three methods to calculate the weight :
(1) Arithmetic average (2) The geometric average method (3) Eigenvalue method

（ It is suggested to use all three methods to improve your robustness ）

3、 ... and 、 Steps of consistency inspection

First step : Calculate the consistency index CI

The second step : Find the corresponding average random consistency index RI
 

The third step : Calculation - Sex proportion CR
 

Step four : Calculate the composite weight of each layer element to the system target , And sort .

 

Four 、 Limitations of analytic hierarchy process

 (1) The decision-making level of evaluation should not be too much , Too many words n Will be a big , Judgment matrix and consistency matrix may be very different .

 (2) If the data of indicators in the decision-making level is known , So how can we use these data to make the evaluation more accurate ?

Multiple calculations , There are three ways to improve the robustness of data