Soft Computing — Module 1: Practical Exercise

Course: B.Tech CSE, 4th Year
Subject: Soft Computing
Student Name: Shivam Indore
Roll No.: 2023BTCSE016
Assignment: Module 1, Fuzzy Logic Practicals (Practicals 1 to 10)

---

📌 Overview

This repository contains the complete practical implementations for Module 1 (Fuzzy Logic) of Soft Computing. Each practical is implemented as a standalone Jupyter Notebook (.ipynb) with comprehensive markdown explanations, mathematical formulations, code implementations, and visualization plots using numpy, matplotlib, scipy, and scikit-fuzzy.

---

📚 Practical List & Syllabus Coverage

#	Notebook File	Practical Title	Key Concepts & Functions
01	01_fuzzy_sets.ipynb	Fuzzy Sets using Membership Values	Crisp vs. Fuzzy sets, Universe of discourse, Degree of membership $\mu_A(x) \in [0, 1]$, Support, $\alpha$-cut
02	02_membership_functions.ipynb	Membership Functions	Triangular (fuzz.trimf), Trapezoidal (fuzz.trapmf), and Gaussian (fuzz.gaussmf) membership curves
03	03_fuzzy_operations.ipynb	Fuzzy Set Operations	Fuzzy Union ($\max$), Fuzzy Intersection ($\min$), and Fuzzy Complement ($1 - \mu$)
04	04_fuzzy_relation.ipynb	Fuzzy Relations & Composition	Cartesian product ($R(x, y) = \min(A(x), B(y))$), Max-Min Composition ($R \circ S$)
05	05_linguistic_variables.ipynb	Fuzzy Linguistic Variables	Linguistic variables (e.g., Temperature with terms Low, Medium, High), Fuzzification of crisp values
06	06_fuzzy_rules.ipynb	Fuzzy IF-THEN Rules	Rule structure (Antecedents & Consequents), Firing strength clipping, Aggregation of outputs
07	07_mamdani_fis.ipynb	Mamdani Fuzzy Inference System	End-to-end Mamdani FIS using skfuzzy.control (Quality & Service $\rightarrow$ Tip), Rule evaluation, Defuzzification
08	08_sugeno_fis.ipynb	Sugeno (TSK) Fuzzy Inference System	Takagi-Sugeno-Kang fuzzy model, Linear output functions ($z_i = p_i x + q_i y + r_i$), Weighted average aggregation
09	09_defuzzification.ipynb	Defuzzification Methods	Comparison of Centroid (centroid), Bisector (bisector), and Mean of Maximum (mom) on aggregated fuzzy sets
10	10_fuzzy_logic_controller.ipynb	Complete Fuzzy Logic Controller (FLC)	Full closed-loop FLC (Error & Change in Error $\rightarrow$ Control Action), 3D Control Surface visualization

---

🛠️ Tech Stack & Requirements

• Python 3.10+ (Tested on Python 3.14)
• Core Libraries:
  • numpy — Array manipulations and universe of discourse grids
  • matplotlib — 2D and 3D visualization of membership curves and control surfaces
  • scipy — Numerical routines and interpolation
  • networkx — Graph dependencies used by skfuzzy.control
  • scikit-fuzzy — Fuzzy logic functions, control systems, and defuzzification
  • notebook / nbconvert / ipykernel — Interactive notebook execution

---

🚀 Setup & Installation

1. Clone the repository

git clone https://github.com/indoreshivam2006/Soft-Computing-Module-1.git
cd Soft-Computing-Module-1

2. Create and activate a Virtual Environment (Optional but recommended)

On Windows (PowerShell):

python -m venv .venv
.\.venv\Scripts\Activate.ps1

On Linux / macOS:

python3 -m venv .venv
source .venv/bin/activate

3. Install Required Dependencies

python -m pip install numpy matplotlib scikit-fuzzy scipy networkx notebook nbconvert

---

💻 How to Run

Option A: In VS Code / Antigravity IDE (Interactive)

1. Open any notebook (e.g. 01_fuzzy_sets.ipynb) in your editor.
2. Select your Python kernel (or .venv) at the top right.
3. Click Run All or press Shift + Enter to run individual cells.

Option B: In Jupyter Notebook Web UI

python -m notebook

This opens the Jupyter file browser in your default web browser where you can open and execute each notebook.

Option C: Execute All Notebooks from Command Line

To run and execute all 10 notebooks in-place:

python -m nbconvert --to notebook --execute --inplace *.ipynb

---

📂 Project Structure

Soft-Computing-Module-1/
│
├── .gitignore
├── README.md
├── 01_fuzzy_sets.ipynb
├── 02_membership_functions.ipynb
├── 03_fuzzy_operations.ipynb
├── 04_fuzzy_relation.ipynb
├── 05_linguistic_variables.ipynb
├── 06_fuzzy_rules.ipynb
├── 07_mamdani_fis.ipynb
├── 08_sugeno_fis.ipynb
├── 09_defuzzification.ipynb
└── 10_fuzzy_logic_controller.ipynb

---

📜 Author

• Shivam Indore (Roll No: 2023BTCSE016)
• GitHub: @indoreshivam2006
• Repository: Soft-Computing-Module-1