PROMETHEE

Une implémentation de la méthode PROMETHEE.

Usage

type PreferenceFunction = (a: number, b: number) => number;

type Criterion = {
    name: string;
    weight: number;
    preferenceFunction: PreferenceFunction;
}

type Alternative = {
    name: string;
    valuations: number[];
}

type RankedItem = { name: string, rank: number, flow: number, positiveFlow: number, negativeFlow: number };

function resolve({criteria: Criterion[], alternatives: Alternative[], against?: string|string[]}): RankedItem[]

Résout le classement d'éléments selon plusieurs critères en utilisant la méthode PROMETHEE II.

Les valeurs de valuations des alternatives doivent être dans le même ordre que les critères dans le tableau de critères criteria.

L'argument against permet de sélectionner les critères de comparaison si on ne veux pas tous les prendre en compte.

Les fonctions de comparaisons classiques sont implémentées par un appel à :

• usual(objective: 'minimize' | 'maximize' = 'maximize'): PreferenceFunction
• ushape(threshold: number, objective: 'minimize' | 'maximize' = 'maximize'): PreferenceFunction
• level(indifference: number, preference: number, objective: 'minimize' | 'maximize' = 'maximize'): PreferenceFunction
• vshape(threshold: number, objective: 'minimize' | 'maximize' = 'maximize'): PreferenceFunction
• linear(indifference: number, preference: number, objective: 'minimize' | 'maximize' = 'maximize'): PreferenceFunction
• gaussian(sigma: number, objective: 'minimize' | 'maximize' = 'maximize'): PreferenceFunction

Exemple

import * as promethee from '@quadrixo/promethee;

let criteria = [
    { name: 'Criterion 1', weight: 0.25, preferenceFunction: promethee.usual() },
    { name: 'Criterion 2', weight: 0.25, preferenceFunction: promethee.usual() },
    { name: 'Criterion 3', weight: 0.25, preferenceFunction: promethee.usual() },
    { name: 'Criterion 4', weight: 0.25, preferenceFunction: promethee.usual() }
];
let alternatives = [
    { name: 'Item 1', valuations: [ 8, 7, 2, 1 ] },
    { name: 'Item 2', valuations: [ 5, 3, 7, 5 ] },
    { name: 'Item 3', valuations: [ 7, 5, 6, 4 ] },
    { name: 'Item 4', valuations: [ 9, 9, 7, 3 ] },
    { name: 'Item 5', valuations: [ 11, 10, 3, 7 ] },
    { name: 'Item 6', valuations: [ 6, 9, 5, 4 ] }
];

var result = promethee.resolve({ criteria, alternatives });

console.log(result);