README.md

Fuzzy Number Arithmetic

A "fuzzy granule distance" project from the New Technologies in Computer Science course.

Project Description

The program implements arithmetic operations on fuzzy numbers represented as triangular membership functions.

Each fuzzy number is defined by three parameters:

  • x1 (left point) — lower bound of the membership function's support
  • m (center) — value with maximum membership degree (equal to 1)
  • x2 (right point) — upper bound of the membership function's support

Supported operations:

  • display a single fuzzy number
  • multiply a fuzzy number by a real scalar
  • raise a fuzzy number to a power
  • add two fuzzy numbers
  • subtract two fuzzy numbers
  • multiply two fuzzy numbers

Requirements

  • Python 3.10+
  • uv

Installation & Usage

Install dependencies:

uv sync

Display a single fuzzy number

uv run python app.py x1 m x2

Example:

uv run python app.py 2 3 4

Scalar multiplication or exponentiation

uv run python app.py x1 m x2 operator value

Examples:

uv run python app.py 2 3 4 * 2
uv run python app.py 2 3 4 ^ 2

Operations on two fuzzy numbers

uv run python app.py x1_A m_A x2_A operator x1_B m_B x2_B

Examples:

uv run python app.py 2 3 4 + 5 6 7
uv run python app.py 2 3 4 - 1 2 3
uv run python app.py 2 3 4 * 1 2 3

Chained operations on multiple fuzzy numbers

uv run python app.py x1_A m_A x2_A operator1 x1_B m_B x2_B operator2 x1_C m_C x2_C ...

Example:

uv run python app.py 2 3 4 + 5 6 7 - 1 2 3

Fuzzy Set Theory

A fuzzy set is a set in which every element belongs to the set with a membership degree in the range [0, 1]. This project uses a triangular membership function defined by the parameters x1, m, and x2.

Author

Krystian Stasica

License

This project is released under the MIT License. See the LICENSE file.

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