fuzzBuzz: FUZZY INFERENCE SYSTEM FROM SCRATCH

Setup

1. Create and activate virtual environment

   python -m venv .env
   source .env/bin/activate

2. Install required packages

   pip install -r requirements.txt

Library Usage Example

Example

Control Fan Speed based on temperature and humidity

1. Without visualization plots

   python usage.py

2. With visualization plots

   python usage_viz.py

Plots

1. Membership functions of input and output variables along with fuzzification of input variables

2. Detailed Rule Activation

3. Combined Rule Activation

4. Defuzzification

Inference Pipeline

1. Input: Crisp values (e.g., temperature=38, humidity=70)

2. Fuzzification:

   • Convert crisp -> fuzzy membership degrees
   • Use triangular/trapezoidal membership functions

3. Rule Evaluation:

   • Apply IF-THEN rules with OR/AND operators
   • Calculate rule activation strengths

4. Aggregation:

   • Combine activated output membership functions
   • Use max (union) operation

5. Defuzzification:

   • Convert aggregated fuzzy set → crisp value
   • Centroid method

6. Output: Crisp control value (e.g., fan speed=75.2)

FIS Pipeline Flowchart

Application: Edge Detection

python main.py <image_path> <threshold: [0-100] Default: 25>

• Example Usage

python main.py pictures/pic1.jpg 18 

Reusable Geometric Utility Classes & Functions

1. utils/line.py
   • Point Dataclass
   • Line Class:
     Modeled using y = mx + c
     Handled vertical line edge-case
   • Intersection calculation functions for both lines and line-segements
2. utils/polygon.py
   • Polygon Class
   • combinePolygons function
     Targeted just for trapezoids, triangles and their portions whose one side sits on X-axis
3. utils/centroid.py
   • Area calculation funtion of polygon
   • Centroid calculation function of polygon

Slides And Report

• Slides
• Report