Michael Donawan's Graduation Thesis of the Holy Falcon Empire Wizarding Academy (4):

"Research on the Rating Method of Mana Origin Magic" - Michael Donawan.

AHP analytic hierarchy process:

AHP is primarily used to solve decision-making problems, and in this article, I'm using it to solve the mana origin magic rating decision, with the goal of choosing one of the multiple options based on certain criteria. Faced with a variety of proposals, we need to compare, judge, and evaluate before we can make accurate judgments.

The advantage of this analysis is that it doesn't matter if you know the target's mana level or not, and whether you know it with or without aligning the mana system. As long as you can clearly know which factors are more important than others, you don't have to know exactly what the relationship between one factor and another factor is.

Because the decision-making process often has subjective factors, which has a relatively large obstacle to the implementation of standardization, we use analytic hierarchy process to deal with this kind of problem. This approach can be mathematically used to exclude uncertainties caused by subjective factors and to deal with the complex relationships between them.

The basic steps of AHP are as follows:

1. Establish a hierarchy.

2. Construct a judgment matrix.

3. Hierarchical single-sort consistency test.

4. Consistency test of the total ranking of the hierarchy.

The structure is generally divided into three layers, namely the target layer, the criterion layer and the scheme layer, among which the criterion layer can make a multi-layer structure. The general criteria are further subdivided into multi-tiered sub-criteria. The goal layer is what we need to achieve; The criterion layer is the factors that we need to consider in order to achieve our goals; The solution layer is the solution that we can choose to achieve the purpose.

In a structural model, if each factor of the upper level can completely dominate the factors of the lower level, and each factor of the lower level can affect the factors of the upper level, then the layer structure is called a complete hierarchy, and Dou Ze calls this level an incomplete hierarchy.

Once the hierarchy is established, a judgment matrix needs to be constructed. Set in a hierarchy where there are n factors in a certain layer. It is necessary to compare the importance of each factor in the layer to a factor in the previous layer and determine the proportion of the factor in that layer relative to a certain criterion.

If there are m factors in the upper layer and n factors in the layer, then we need to construct m n-order pairwise judgment matrices, and the scale is 1-9 when compared, so that we can complete the construction of the judgment matrix.

After comparing and judging the factors between the single layers, in order to clarify the influence of each factor in the lower layer on a certain factor in the upper layer, we need to carry out a single-level single-ranking consistency test.

If the mutual mirroring matrix is a congruence matrix, the normalized eigenvector of the maximum eigenroot represents the influence degree of the ith factor of the lower layer on a certain influencing factor of the upper layer.

If the pairwise comparison matrix is a non-congruent matrix, the normalized eigenvector corresponding to its largest eigenroot is taken as the weight.

The higher the degree of inconsistency of this matrix, the greater the error caused by the judgment. So, for mana origin magic, we added the mana constant ε. Use the weight minus the ε to measure the degree of inconsistency. In the stochastic early enough t pairwise judgment matrix, when t approaches infinity, the consistency test index RI can be obtained.

When the single-level consistency test index is brought into the total ranking of the hierarchy and the consistency test ratio of the total ranking of the hierarchy is less than 0.1, the consistency test can be passed, which can be used as the basis to obtain the mana origin magic decision of the total ranking.

Now that we've got a brief overview of the theoretical tools used in the theory we've covered in this article, we'll take a look at how to level down mana source magic.

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"Geville, the expected plan has not been fully implemented." General Babud said.

In the face of Babud's stronger accountability, Geville replied unhurriedly: "Yes, Old General Babud. The enemy was cautious, they were not fooled. However, the bird still caused considerable losses to the Tangnis army. Moreover, our scout team in charge of the feint did not lose a single person, and no one was even injured - this is a real benefit for nothing. ”

Babud doesn't think there's anything to be happy about, and he remains unoptimistic about the course of the war. The scouts ahead reported that Tangenis had prepared a large number of siege equipment, including siege ladders, rushing carts, and trebuchets. Although some of them were destroyed, the enemy still had more troops than them.

Truth be told, the walls of the Timber Fortress aren't that tall - at least they're much worse than the Wolf's Tooth and Steelbeard Bunkers, let alone the Longtalon Fort. Although the Logging Fortress bears the name of a fortress, its functionality is clearly higher than that of defense. In Babud's opinion, with a wall of this level, as long as he was given 2,000 men, he could take it with less than half of the losses.

"The Logging Fortress is just a large reinforced outpost, its walls are not only about ten meters, but even the arrow towers are only a dozen or so, if the enemy attacks at any cost, the little wall advantage we have left will soon be gone. Your strategy to lure the enemy has not been successful, and it will be difficult for us to deal with the upcoming general attack. My scouts report that there are still a few siege beasts in the Tangnis army, but he doesn't know exactly what breed they are. General Bappd said.

Gvir frowned, he thought General Babud was too pessimistic, so he sneered: "Why, does Your Excellency mean that we abandon the city and flee, or do we simply tie ourselves up and send our heads to the Tangnis bastard to ask for mercy on the captives?" ”

"What! You stinky boy! How dare you speak to me like that? You were still nursing when I was fighting! Babud suddenly exploded like a cat, and he slapped the table and stood up, swearing and pointing at the tip of Geville's nose in defiance.

Geville was not frightened, he put his hand on the hilt of his sword, and pointed to Babud: "Why, is your Excellency just here to lose your temper at me, and there is no strategy to put it on the table!" ”

Seeing this, Violetta hurriedly played a round: "Oh, old man, young man, can you all calm down?" Old General Babud might as well directly state his strategy, and everyone will discuss it together, at the moment of the great enemy, it is not good for our own people to fight first. ”

"Humph!" Babud let out a breath, sat back in his chair, and expressed his opinion: "My opinion is that we take the initiative to attack, and if we fail to lure the enemy once, we will always have a time when the enemy will not be able to sit still, and when the time comes, we will take them by surprise and eat away at their troops little by little." Sitting here every day and sending a small force to harass it is not painful for a Tangnis mongrel at all! ”

"Well, lad, tell me what you think? What the old general said is not unreasonable, the enemy is about to attack the city. Our tactics of luring the enemy also failed, and the enemy's losses were heavy but not broken. Violetta said. After saying that, look at old Griffin Hart, old Griffin Hart also means the same.

"Ladies and gentlemen, Lady Elpala has long thought about the countermeasures to lure the enemy into defeat, and now that we are meeting here, she has already personally led the team to carry out the next countermeasure." As he spoke, Gvir took out a mushroom and placed it on the table.

"Please take a look at this, does anyone know this?" Giver said mysteriously.

"This mushroom ... Bright color, isn't it poisonous? You want to poison it? General Bappd asked.

Old Griffin Hart shook his head, saying that he didn't know, there wasn't much rain in the griffon's collar, so there were not many mushrooms and mushrooms, and old Griffin Hart didn't like this thing very much, so he didn't know. Of course, if you bring out a bunch of grapes, he will immediately tell you where the grapes come from, whether they are suitable for grape jam or winemaking.

"Oh! Honey, dear. I think this is a bad idea, and Lady Claire wouldn't have come up with it, it's too bad, you're such a bad boy. Violetta smiled and shook her head.

"Ms. Violetta obviously knows this. Then please tell me about the efficacy of this thing and why I am so confident. I think we won at least 5 days. Givir said firmly.

"Oh, young man, I want to correct you, we obviously have 4 more days, not 5, and since Lady Claire has already gone on a mission, then it will be counted from this time, not tomorrow, and if I guess correctly, good news will come from our scouts after noon."

"Violeta, what are you guys doing, tell me what the hell is going on with this thing!" Sandos slammed the table in a hurry.

"Sir, this thing is called a bow mushroom, and I used it a lot when I was in school. Ah, what a happy day it was, it reminded me of the happy times I spent with Michael, until that little slut of the Vance family stepped in... Violetta seemed to be immersed in some kind of memory.

"Don't be cranky, Violeta, tell me what this bow mushroom does!"