🎯 Z-Number MCDM Calculator
Multi-Criteria Decision Making with TOPSIS & PROMETHEE
Upload your decision matrix in Excel format and get instant rankings!
📁 Input
📋 Data Preview
Decision Matrix
📊 Results
Rankings
📋 Excel File Format
Your Excel file should follow this structure:
| Row | Column A | Columns B-I (Criterion 1) | Columns J-Q (Criterion 2) | ... |
|---|---|---|---|---|
| 1 | W | A₁ A₂ A₃ A₄ B₁ B₂ B₃ B₄ | A₁ A₂ A₃ A₄ B₁ B₂ B₃ B₄ | ... |
| 2 | A1 | A₁ A₂ A₃ A₄ B₁ B₂ B₃ B₄ | A₁ A₂ A₃ A₄ B₁ B₂ B₃ B₄ | ... |
| 3 | A2 | A₁ A₂ A₃ A₄ B₁ B₂ B₃ B₄ | A₁ A₂ A₃ A₄ B₁ B₂ B₃ B₄ | ... |
| ... | ... | ... | ... | ... |
| N | T | B or C | B or C | ... |
Z-Number Structure (8 values per criterion):
- A part (4 values):
A₁ ≤ A₂ ≤ A₃ ≤ A₄— The fuzzy restriction on values - B part (4 values):
B₁ ≤ B₂ ≤ B₃ ≤ B₄— The reliability/confidence (values between 0 and 1)
Criteria Types (last row):
- B = Benefit (higher is better)
- C = Cost (lower is better)
Example Z-Number:
7, 8, 9, 10, 0.6, 0.7, 0.8, 0.9 means:
- A = [7, 8, 9, 10] (trapezoidal fuzzy number)
- B = [0.6, 0.7, 0.8, 0.9] (reliability)
🔬 Methods
TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution):
- Ranks alternatives based on distance from ideal best and worst solutions
- Distance methods: Hellinger (recommended) or Simple
PROMETHEE (Preference Ranking Organization Method for Enrichment Evaluation):
- Ranks alternatives based on pairwise preference comparisons
- Uses outranking flows to determine final ranking
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