promethee-evaluator

Business

PROMETHEE (Preference Ranking Organization Method for Enrichment Evaluation) skill for outranking-based multi-criteria analysis

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PROMETHEE Evaluator

Overview

The PROMETHEE Evaluator skill implements the Preference Ranking Organization Method for Enrichment Evaluation methodology for multi-criteria decision analysis. It uses outranking relations based on pairwise comparisons of alternatives, allowing for flexible preference modeling through various preference functions.

Capabilities

Preference function selection (Usual, U-shape, V-shape, Level, Linear, Gaussian)
Unicriterion preference degree calculation
Multicriteria preference index computation
PROMETHEE I partial ranking
PROMETHEE II complete ranking
GAIA plane visualization
Walking weights sensitivity analysis
Net flow calculation

Used By Processes

Multi-Criteria Decision Analysis (MCDA)
Vendor Selection Analysis
Resource Allocation Decisions

Usage

Preference Functions

Usual (Type I): Binary preference (1 if better, 0 otherwise)
U-shape (Type II): Indifference threshold q
V-shape (Type III): Linear with preference threshold p
Level (Type IV): Combination of q and p thresholds
Linear (Type V): Linear between q and p thresholds
Gaussian (Type VI): Normal distribution with sigma parameter

Configuration Example

# Define PROMETHEE configuration
config = {
    "alternatives": ["Alt A", "Alt B", "Alt C", "Alt D"],
    "criteria": [
        {
            "name": "Cost",
            "weight": 0.3,
            "type": "cost",
            "preference_function": "linear",
            "parameters": {"p": 20000, "q": 5000}
        },
        {
            "name": "Quality",
            "weight": 0.4,
            "type": "benefit",
            "preference_function": "gaussian",
            "parameters": {"sigma": 10}
        },
        {
            "name": "Delivery",
            "weight": 0.3,
            "type": "cost",
            "preference_function": "v_shape",
            "parameters": {"p": 5}
        }
    ],
    "performance_matrix": [
        [100000, 85, 12],  # Alt A
        [120000, 92, 8],   # Alt B
        [80000, 78, 15],   # Alt C
        [110000, 88, 10]   # Alt D
    ]
}

Flow Calculations

Positive Flow (Phi+): How much an alternative outranks others
Negative Flow (Phi-): How much an alternative is outranked
Net Flow (Phi): Phi+ - Phi- (used for complete ranking)

PROMETHEE I vs II

PROMETHEE I: Partial ranking based on Phi+ and Phi- separately (allows incomparabilities)
PROMETHEE II: Complete ranking based on net flow Phi

GAIA Visualization

The GAIA plane provides:

2D projection of criteria and alternatives
Decision axis showing weight sensitivity
Clustering of similar alternatives
Criteria correlation identification

Input Schema

{
  "alternatives": ["string"],
  "criteria": [
    {
      "name": "string",
      "weight": "number",
      "type": "benefit|cost",
      "preference_function": "usual|u_shape|v_shape|level|linear|gaussian",
      "parameters": "object"
    }
  ],
  "performance_matrix": "2D array of numbers",
  "options": {
    "method": "PROMETHEE_I|PROMETHEE_II",
    "gaia_visualization": "boolean",
    "sensitivity_analysis": "boolean"
  }
}

Output Schema

{
  "ranking": [
    {
      "alternative": "string",
      "rank": "number",
      "phi_plus": "number",
      "phi_minus": "number",
      "phi_net": "number"
    }
  ],
  "outranking_matrix": "2D array",
  "partial_ranking": {
    "preferred_pairs": ["object"],
    "incomparable_pairs": ["object"]
  },
  "gaia_data": {
    "alternative_coordinates": "object",
    "criteria_axes": "object",
    "decision_axis": "object"
  },
  "sensitivity_results": "object"
}

Best Practices

Select appropriate preference functions based on criterion characteristics
Use PROMETHEE I when incomparabilities are meaningful
Set thresholds (p, q) based on domain expertise
Analyze GAIA plane for insights beyond rankings
Validate results with stakeholders
Compare with other MCDA methods for robustness

Integration Points

Receives weights from AHP Calculator or Stakeholder Preference Elicitor
Feeds into Decision Visualization for GAIA planes
Connects with ELECTRE Comparator for method comparison
Supports Sensitivity Analyzer for weight robustness testing