Analytic Hierarchy Process, what is Analytic Hierarchy Process?

It is not possible to follow the analytic hierarchy process here.

The symbols can only be layered in this way:

Elect him as the class leader1. Moving guests: choose ||He||Be a class leader.

2. Subject-verb: he||Be a class leader.

3. Moving guests: do ||Monitor.

What he didn't know1. Subject-verb: he||I don't know.

2. The structure of the word: what is not known (what is not known).

Determined to do a good job1. Supplement: Determined||Do a good job.

2. Moving guest: Yes||Resolution.

3. Supplement: Engage (good)||Job.

Your words are very reasonableSubject-verb: (your) words ||[Very] reasonable.

One detachedLow-level funof people

Bias: (a) (detached from low tastes) person.

One of the purposes of classifying words is to tell the use of words. Level 1.

Subject-verb. One of the purposes of dividing the classes of words is the use of narrator words at the second level.

Neutralize the object.

Divide the class of speech into a purpose narrate the usage of the word at the third level.

Moving object is set in the moving object.

Usage of a word Level 4.

Quantity Fixed.

RI is a random consistency index is obtained by looking up the table, your situation in this question: n=6, RI=, because CI=, CR=>, the consistency test fails, and the judgment matrix should be modified.

The analytic hierarchy process is a decision-making method that decomposes the elements that are always related to decision-making into levels, such as goals, criteria, and programs, and conducts qualitative and quantitative analysis on this basis.

The analysis of the AHP method generally has 4 steps:

step1: Analyze the relationship between the factors of the system and establish the hierarchy of the system;

Step 3: Conduct an expert scoring consistency test (the result will be recognized only if the test is passed);

step4: Calculate the score according to the matrix and get the weight result;

The analytic hierarchy process is operated by:

SPSSAU【Comprehensive Evaluation】 AHP analytic hierarchy process;

The difference between the two is that the sum product method is an iterative method, and the square root method is a method for solving the root of equations through numerical calculation.

The Analytic Hierarchy Process (AHP) was formally proposed in the mid-70s of the 20th century by the American operations researcher Thomas Setty (). It is a systematic and hierarchical analysis method that combines qualitative and quantitative methods. Because of its usefulness and effectiveness in dealing with complex decision-making issues, it quickly gained worldwide attention.

Its applications have spread across economic planning and management, energy policy and distribution, behavioral science, military command, transportation, agriculture, education, talent, health care, and the environment. The basic idea of analytic hierarchy process is basically the same as the process of thinking and judging a complex decision-making problem. You might as well use fake trousers to hold the period of travel as an example:

If there are 3 tourist attractions A, B, and C for you to choose from, you will repeatedly compare these 3 candidate locations according to some criteria such as scenery, cost and accommodation, food, travel conditions, etc. Secondly, you will compare 3 locations for each criterion, e.g. A has the best view, B is the second; B has the lowest cost, followed by pure grip C; c. Housing and other conditions are better, etc. Finally, you need to synthesize these two levels of comparative judgment and determine which of A, B, and C is the best location.

1. Hierarchical Classification Imitation Analysis, referred to as AHP, refers to the decision-making method of decomposing the elements related to decision-making into objectives, criteria, programs and other levels, and conducting qualitative and quantitative analysis on this basis.

2. In the early 70s of the 20th century, the American operations researcher Professor Satie of Fort Pitts Wangxian University proposed a hierarchical weight decision-making analysis method when he was talking about the topic of imitation power distribution according to the contribution of various industrial sectors to national welfare.

Analytic hierarchy process refers to the decision-making method of decomposing the elements that are always related to decision-making into goals, criteria, schemes, etc., and conducting qualitative and quantitative analysis on this basis.

In the early 70s of the 20th century, the American operations researcher Professor Satie of the University of Pittsburgh applied the network system theory and the multi-objective comprehensive evaluation method to propose a hierarchical weight decision-making analysis method when he was studying the topic of "power distribution according to the contribution of various industrial sectors to national welfare" for the US Department of Defense.

Content of analytic hierarchy process:

Analytic hierarchy process refers to a systematic method that takes a complex multi-objective decision-making problem as a system, decomposes the goal into multiple objectives or criteria, and then decomposes it into several levels of multiple indicators (or criteria and constraints), and calculates the single ranking (weight) and total ranking of the level through the fuzzy quantification method of qualitative indicators, so as to optimize decision-making for objectives (multiple indicators) and multiple schemes.

Basic Principles of Analytic Hierarchy Process:

According to the nature of the problem and the overall goal to be achieved, the analytic hierarchy process decomposes the problem into different constituent factors, and gathers and combines the factors at different levels according to the interrelated influence and affiliation between the factors to form a multi-level analysis structure model, so that the problem is finally reduced to the determination of the relative importance of the lowest level relative to the highest level or the arrangement of the relative advantages and disadvantages order.

Calculation steps of analytic hierarchy process:

1. Establish a hierarchical model.

The objectives, factors to be considered (decision criteria) and decision objects are divided into the top, middle and bottom levels according to their interrelationships, and a hierarchical structure is drawn. The top level refers to the purpose of the decision, the problem to be solved. The lowest level refers to the alternatives when making decisions.

The middle layer refers to the factors considered, the criteria for decision-making. For two adjacent floors, the upper floor is called the target layer and the lower floor is the factor layer.

2. Construct a judgment (pairwise comparison) matrix.

When determining the weight between the factors at each level, if it is only a qualitative result, it is often not easy to be accepted by others, so Saaty et al. proposed the consistency matrix method, that is, not to compare all the factors together, but to compare them in pairs, and to use a relative scale at this time, so as to reduce the difficulty of comparing factors of different natures as much as possible, so as to improve the accuracy.

3. Hierarchical single sorting and consistency testing.

Corresponding to the eigenvector of the maximum eigenroot max of the judgment matrix, the element recorded as the ranking weight of the relative importance of the factor of the same level factor to a factor of the previous level after normalization (so that the sum of the elements in the vector is equal to 1), this process is called hierarchical single sorting.

Whether the hierarchy can be confirmed is single-ordered, it is necessary to carry out a consistency test, and the so-called consistency test refers to the determination of the allowable range of inconsistency for a.

1. Establish a hierarchical model. On the basis of in-depth analysis of practical problems, the relevant factors are decomposed into several levels from top to bottom according to different attributes, and the factors of the same layer are subordinate to the factors of the upper layer or have an influence on the factors of the upper level, and at the same time dominate the factors of the next layer or are affected by the factors of the lower level of the Great Vertical Meditation. The uppermost layer is the target layer, usually there is only one factor for dust rolling, the lowest layer is usually the scheme or object layer, and there can be one or several layers in the middle, usually the criterion or index layer.

When there are too many criteria (e.g. more than 9), the sub-criterion layers should be further decomposed.

2. Construct a pair of comparison arrays. Starting from the second layer of the hierarchical model, pairwise comparison arrays are constructed using the pairwise comparison method and the 1-9 comparison scale for the factors of the same layer that are subordinate to (or infecting) each factor of the previous layer, up to the lowest level.

3. Calculate the weight vector and do the consistency test. For each pairwise comparison matrix, the maximum eigenroot and the corresponding eigenvector are calculated, and the consensus index, random consistency index and consistency ratio are used to perform the fiber consistency test. If the test passes, the eigenvector (after normalization) is the weight vector:

If it does not pass, it needs to be reconstructed into a pair of comparison arrays.

4. Calculate the combination weight vector and do the combination consistency test. Calculate the combined weight vector of the lowest pair of targets, and do the combination consistency test according to the formula, if the test is passed, you can make a decision according to the result of the combination weight vector, otherwise you need to reconsider the model or reconstruct those pairwise comparison arrays with large consistency ratios.

The analysis is shown in the figure below:

Analytic hierarchy process actually consists of two parts: one is segmentation and the other is qualitative. Guess the sail segmentation is to solve what the direct components of a structure are; Qualitativeness is to solve the syntactic relationship between the direct components obtained by segmentation.

The analytic hierarchy process is as follows:

Level 1: An excellent middle school Chinese teacher (central words);

The second layer: one (number words) (measure words) excellent (definite) middle school Chinese old erector (central words);

Level 3: Secondary School (Definite) Chinese Teacher (Central Words);

Level 4: Chinese (definite) teacher (central word).