first commit
Browse files- README.md +45 -6
- app.py +305 -0
- requirements.txt +6 -0
- sample_template.xlsx +0 -0
- sample_template_with_headers.xlsx +0 -0
README.md
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---
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title:
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emoji:
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colorFrom: blue
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colorTo:
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sdk:
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pinned: false
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license: mit
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short_description: Get the best alternative from your z-number decision matrix
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---
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---
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title: Z-Number MCDM Calculator
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emoji: ๐งฎ
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colorFrom: blue
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colorTo: purple
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sdk: gradio
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sdk_version: 4.44.0
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app_file: app.py
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pinned: false
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license: mit
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---
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# Z-Number MCDM Calculator
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A web application for Multi-Criteria Decision Making (MCDM) using Z-numbers with **TOPSIS** and **PROMETHEE** methods.
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## What are Z-Numbers?
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A Z-number is a fuzzy number with two components:
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- **A part**: The restriction on values (trapezoidal fuzzy number)
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- **B part**: The reliability/confidence of the information (values between 0 and 1)
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## Supported Methods
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### TOPSIS
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Technique for Order of Preference by Similarity to Ideal Solution. Ranks alternatives based on their distance from the ideal best and worst solutions.
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### PROMETHEE
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Preference Ranking Organization Method for Enrichment Evaluation. Uses pairwise preference comparisons and outranking flows.
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## Excel File Format
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Your Excel file should have this structure:
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| Row | Column A | Criterion 1 (8 cols) | Criterion 2 (8 cols) | ... |
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|-----|----------|---------------------|---------------------|-----|
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| 1 | W | Weight Z-number | Weight Z-number | ... |
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| 2 | A1 | Alternative 1 values| Alternative 1 values| ... |
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| 3 | A2 | Alternative 2 values| Alternative 2 values| ... |
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| ... | ... | ... | ... | ... |
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| N | T | B or C | B or C | ... |
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Each Z-number uses 8 consecutive columns:
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- First 4: A part (Aโ โค Aโ โค Aโ โค Aโ)
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- Last 4: B part (Bโ โค Bโ โค Bโ โค Bโ, values 0-1)
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Criteria types: **B** = Benefit, **C** = Cost
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## Powered by
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[znum](https://github.com/maganuriyev/znum) - Python library for Z-number arithmetic and MCDM
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app.py
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| 1 |
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"""
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Z-Number MCDM Web Application
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Multi-Criteria Decision Making with TOPSIS and PROMETHEE methods
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"""
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import gradio as gr
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import pandas as pd
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import numpy as np
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import copy
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from znum import Znum, Topsis, Promethee, Beast
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def parse_excel_to_table(df: pd.DataFrame):
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"""
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Parse Excel DataFrame to MCDM table format.
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Expected format:
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- Row 1: Weights (label 'W' in first column)
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- Rows 2 to N-1: Alternatives (labels 'A1', 'A2', etc.)
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- Row N: Criteria types ('B' for Benefit, 'C' for Cost)
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Each Z-number uses 8 columns: A1, A2, A3, A4, B1, B2, B3, B4
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"""
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ZNUM_SIZE = 8
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rows = df.values.tolist()
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def parse_row(row):
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"""Parse a row into list of Znum objects."""
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znums = []
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# Skip the first column (label) and filter out NaN values
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values = [float(v) for v in row[1:] if pd.notna(v) and v != '']
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for i in range(0, len(values), ZNUM_SIZE):
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if i + ZNUM_SIZE <= len(values):
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znum_vals = values[i:i + ZNUM_SIZE]
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half = ZNUM_SIZE // 2
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znum = Znum(A=znum_vals[:half], B=znum_vals[half:])
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znums.append(znum)
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return znums
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def parse_types(row):
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"""Parse criteria types row."""
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types = []
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values = row[1:]
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i = 0
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while i < len(values):
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val = values[i]
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if pd.notna(val) and str(val).strip().upper() in ['B', 'C']:
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types.append(str(val).strip().upper())
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i += ZNUM_SIZE # Skip to next criteria
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return types
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# Parse weights (first row)
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weights = parse_row(rows[0])
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# Parse alternatives (middle rows)
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alternatives = []
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for row in rows[1:-1]:
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alt = parse_row(row)
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if alt: # Only add non-empty alternatives
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alternatives.append(alt)
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# Parse criteria types (last row)
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criteria_types = parse_types(rows[-1])
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# Validate
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n_criteria = len(weights)
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if not all(len(alt) == n_criteria for alt in alternatives):
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raise ValueError(f"All alternatives must have {n_criteria} criteria (matching weights)")
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if len(criteria_types) != n_criteria:
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raise ValueError(f"Number of criteria types ({len(criteria_types)}) must match number of criteria ({n_criteria})")
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# Build table: [weights, alt1, alt2, ..., altN, criteria_types]
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table = [weights] + alternatives + [criteria_types]
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return table, len(alternatives), n_criteria
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def run_topsis(table, normalize_weights, distance_method):
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"""Run TOPSIS method and return results."""
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table_copy = copy.deepcopy(table)
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dist_type = (Topsis.DistanceMethod.HELLINGER
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if distance_method == "Hellinger"
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else Topsis.DistanceMethod.SIMPLE)
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topsis = Topsis(table_copy, shouldNormalizeWeight=normalize_weights, distanceType=dist_type)
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scores = topsis.solve()
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# Create results DataFrame
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results = []
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ranked_indices = sorted(range(len(scores)), key=lambda i: scores[i], reverse=True)
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for rank, idx in enumerate(ranked_indices, 1):
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results.append({
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"Rank": rank,
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"Alternative": f"A{idx + 1}",
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"Closeness Coefficient": f"{scores[idx]:.6f}",
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"Original Index": idx + 1
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})
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return pd.DataFrame(results), scores
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def run_promethee(table, normalize_weights):
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"""Run PROMETHEE method and return results."""
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table_copy = copy.deepcopy(table)
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promethee = Promethee(table_copy, shouldNormalizeWeight=normalize_weights)
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sorted_results = promethee.solve()
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# Create results DataFrame
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results = []
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for rank, (idx, znum) in enumerate(sorted_results, 1):
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# Calculate a score representation from the Znum
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score = np.mean(znum.A) # Use mean of A part as score indicator
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results.append({
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"Rank": rank,
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"Alternative": f"A{idx + 1}",
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"Net Flow Score": f"{score:.6f}",
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"Original Index": idx + 1
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})
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return pd.DataFrame(results), sorted_results
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def process_file(file, method, normalize_weights, distance_method):
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"""Main processing function."""
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if file is None:
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return None, "Please upload an Excel file."
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| 133 |
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try:
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# Read Excel file
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df = pd.read_excel(file.name, header=None)
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# Parse to table format
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table, n_alternatives, n_criteria = parse_excel_to_table(df)
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info = f"โ
Parsed successfully: {n_alternatives} alternatives, {n_criteria} criteria\n\n"
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# Run selected method
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if method == "TOPSIS":
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results_df, _ = run_topsis(table, normalize_weights, distance_method)
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info += f"**Method:** TOPSIS ({distance_method} distance)\n"
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else: # PROMETHEE
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results_df, _ = run_promethee(table, normalize_weights)
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info += f"**Method:** PROMETHEE II\n"
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info += f"**Weight Normalization:** {'Enabled' if normalize_weights else 'Disabled'}\n\n"
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info += f"### ๐ Best Alternative: {results_df.iloc[0]['Alternative']}\n"
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info += f"### ๐ Worst Alternative: {results_df.iloc[-1]['Alternative']}"
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return results_df, info
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except Exception as e:
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return None, f"โ Error: {str(e)}\n\nPlease check your Excel file format."
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| 159 |
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| 160 |
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def create_sample_excel():
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"""Create a sample Excel file for download."""
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| 163 |
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# Sample data with 3 alternatives and 3 criteria
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data = [
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# Weights row
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['W', 0.2, 0.3, 0.4, 0.5, 0.1, 0.2, 0.3, 0.4, # Criterion 1 weight
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0.3, 0.4, 0.5, 0.6, 0.2, 0.3, 0.4, 0.5, # Criterion 2 weight
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| 168 |
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0.1, 0.2, 0.3, 0.4, 0.05, 0.1, 0.15, 0.2], # Criterion 3 weight
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| 169 |
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# Alternative 1
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| 170 |
+
['A1', 7, 8, 9, 10, 0.6, 0.7, 0.8, 0.9, # A1, C1
|
| 171 |
+
5, 6, 7, 8, 0.5, 0.6, 0.7, 0.8, # A1, C2
|
| 172 |
+
6, 7, 8, 9, 0.6, 0.65, 0.7, 0.75], # A1, C3
|
| 173 |
+
# Alternative 2
|
| 174 |
+
['A2', 4, 5, 6, 7, 0.4, 0.5, 0.6, 0.7, # A2, C1
|
| 175 |
+
8, 9, 10, 11, 0.7, 0.75, 0.8, 0.85, # A2, C2
|
| 176 |
+
3, 4, 5, 6, 0.3, 0.4, 0.5, 0.6], # A2, C3
|
| 177 |
+
# Alternative 3
|
| 178 |
+
['A3', 6, 7, 8, 9, 0.5, 0.6, 0.7, 0.8, # A3, C1
|
| 179 |
+
6, 7, 8, 9, 0.55, 0.65, 0.75, 0.85, # A3, C2
|
| 180 |
+
7, 8, 9, 10, 0.6, 0.7, 0.8, 0.9], # A3, C3
|
| 181 |
+
# Criteria types
|
| 182 |
+
['T', 'B', '', '', '', '', '', '', '', # Criterion 1: Benefit
|
| 183 |
+
'B', '', '', '', '', '', '', '', # Criterion 2: Benefit
|
| 184 |
+
'C', '', '', '', '', '', '', ''], # Criterion 3: Cost
|
| 185 |
+
]
|
| 186 |
+
|
| 187 |
+
df = pd.DataFrame(data)
|
| 188 |
+
|
| 189 |
+
# Save to file
|
| 190 |
+
filepath = "/tmp/sample_mcdm_template.xlsx"
|
| 191 |
+
df.to_excel(filepath, index=False, header=False)
|
| 192 |
+
|
| 193 |
+
return filepath
|
| 194 |
+
|
| 195 |
+
|
| 196 |
+
# Create Gradio interface
|
| 197 |
+
with gr.Blocks(title="Z-Number MCDM Calculator", theme=gr.themes.Soft()) as demo:
|
| 198 |
+
gr.Markdown("""
|
| 199 |
+
# ๐ฏ Z-Number MCDM Calculator
|
| 200 |
+
## Multi-Criteria Decision Making with TOPSIS & PROMETHEE
|
| 201 |
+
|
| 202 |
+
Upload your decision matrix in Excel format and get instant rankings!
|
| 203 |
+
""")
|
| 204 |
+
|
| 205 |
+
with gr.Row():
|
| 206 |
+
with gr.Column(scale=1):
|
| 207 |
+
gr.Markdown("### ๐ Input")
|
| 208 |
+
|
| 209 |
+
file_input = gr.File(
|
| 210 |
+
label="Upload Excel File (.xlsx)",
|
| 211 |
+
file_types=[".xlsx", ".xls"],
|
| 212 |
+
type="filepath"
|
| 213 |
+
)
|
| 214 |
+
|
| 215 |
+
method = gr.Radio(
|
| 216 |
+
choices=["TOPSIS", "PROMETHEE"],
|
| 217 |
+
value="TOPSIS",
|
| 218 |
+
label="Select Method"
|
| 219 |
+
)
|
| 220 |
+
|
| 221 |
+
normalize_weights = gr.Checkbox(
|
| 222 |
+
value=True,
|
| 223 |
+
label="Normalize Weights"
|
| 224 |
+
)
|
| 225 |
+
|
| 226 |
+
distance_method = gr.Radio(
|
| 227 |
+
choices=["Hellinger", "Simple"],
|
| 228 |
+
value="Hellinger",
|
| 229 |
+
label="Distance Method (TOPSIS only)",
|
| 230 |
+
visible=True
|
| 231 |
+
)
|
| 232 |
+
|
| 233 |
+
submit_btn = gr.Button("๐ Calculate Rankings", variant="primary")
|
| 234 |
+
|
| 235 |
+
sample_btn = gr.Button("๐ฅ Download Sample Template", variant="secondary")
|
| 236 |
+
sample_file = gr.File(label="Sample Template", visible=False)
|
| 237 |
+
|
| 238 |
+
with gr.Column(scale=2):
|
| 239 |
+
gr.Markdown("### ๐ Results")
|
| 240 |
+
info_output = gr.Markdown()
|
| 241 |
+
results_output = gr.DataFrame(label="Rankings")
|
| 242 |
+
|
| 243 |
+
gr.Markdown("""
|
| 244 |
+
---
|
| 245 |
+
## ๐ Excel File Format
|
| 246 |
+
|
| 247 |
+
Your Excel file should follow this structure:
|
| 248 |
+
|
| 249 |
+
| Row | Column A | Columns B-I (Criterion 1) | Columns J-Q (Criterion 2) | ... |
|
| 250 |
+
|-----|----------|---------------------------|---------------------------|-----|
|
| 251 |
+
| 1 | W | Aโ Aโ Aโ Aโ Bโ Bโ Bโ Bโ | Aโ Aโ Aโ Aโ Bโ Bโ Bโ Bโ | ... |
|
| 252 |
+
| 2 | A1 | Aโ Aโ Aโ Aโ Bโ Bโ Bโ Bโ | Aโ Aโ Aโ Aโ Bโ Bโ Bโ Bโ | ... |
|
| 253 |
+
| 3 | A2 | Aโ Aโ Aโ Aโ Bโ Bโ Bโ Bโ | Aโ Aโ Aโ Aโ Bโ Bโ Bโ Bโ | ... |
|
| 254 |
+
| ... | ... | ... | ... | ... |
|
| 255 |
+
| N | T | B or C | B or C | ... |
|
| 256 |
+
|
| 257 |
+
### Z-Number Structure (8 values per criterion):
|
| 258 |
+
- **A part** (4 values): `Aโ โค Aโ โค Aโ โค Aโ` โ The fuzzy restriction on values
|
| 259 |
+
- **B part** (4 values): `Bโ โค Bโ โค Bโ โค Bโ` โ The reliability/confidence (values between 0 and 1)
|
| 260 |
+
|
| 261 |
+
### Criteria Types (last row):
|
| 262 |
+
- **B** = Benefit (higher is better)
|
| 263 |
+
- **C** = Cost (lower is better)
|
| 264 |
+
|
| 265 |
+
### Example Z-Number:
|
| 266 |
+
`7, 8, 9, 10, 0.6, 0.7, 0.8, 0.9` means:
|
| 267 |
+
- A = [7, 8, 9, 10] (trapezoidal fuzzy number)
|
| 268 |
+
- B = [0.6, 0.7, 0.8, 0.9] (reliability)
|
| 269 |
+
|
| 270 |
+
---
|
| 271 |
+
## ๐ฌ Methods
|
| 272 |
+
|
| 273 |
+
**TOPSIS** (Technique for Order of Preference by Similarity to Ideal Solution):
|
| 274 |
+
- Ranks alternatives based on distance from ideal best and worst solutions
|
| 275 |
+
- Distance methods: Hellinger (recommended) or Simple
|
| 276 |
+
|
| 277 |
+
**PROMETHEE** (Preference Ranking Organization Method for Enrichment Evaluation):
|
| 278 |
+
- Ranks alternatives based on pairwise preference comparisons
|
| 279 |
+
- Uses outranking flows to determine final ranking
|
| 280 |
+
|
| 281 |
+
---
|
| 282 |
+
*Powered by [znum](https://github.com/maganuriyev/znum) library*
|
| 283 |
+
""")
|
| 284 |
+
|
| 285 |
+
# Event handlers
|
| 286 |
+
def toggle_distance_visibility(method):
|
| 287 |
+
return gr.update(visible=(method == "TOPSIS"))
|
| 288 |
+
|
| 289 |
+
method.change(toggle_distance_visibility, inputs=[method], outputs=[distance_method])
|
| 290 |
+
|
| 291 |
+
submit_btn.click(
|
| 292 |
+
process_file,
|
| 293 |
+
inputs=[file_input, method, normalize_weights, distance_method],
|
| 294 |
+
outputs=[results_output, info_output]
|
| 295 |
+
)
|
| 296 |
+
|
| 297 |
+
def download_sample():
|
| 298 |
+
filepath = create_sample_excel()
|
| 299 |
+
return gr.update(value=filepath, visible=True)
|
| 300 |
+
|
| 301 |
+
sample_btn.click(download_sample, outputs=[sample_file])
|
| 302 |
+
|
| 303 |
+
|
| 304 |
+
if __name__ == "__main__":
|
| 305 |
+
demo.launch()
|
requirements.txt
ADDED
|
@@ -0,0 +1,6 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
gradio>=4.0.0
|
| 2 |
+
pandas>=2.0.0
|
| 3 |
+
numpy>=1.24.0
|
| 4 |
+
openpyxl>=3.1.0
|
| 5 |
+
znum>=0.5.0
|
| 6 |
+
scipy>=1.10.0
|
sample_template.xlsx
ADDED
|
Binary file (5.71 kB). View file
|
|
|
sample_template_with_headers.xlsx
ADDED
|
Binary file (6.01 kB). View file
|
|
|