Home › Glossary › Fundamentals › Fuzzy set

Intermediate · Fundamentals

Fuzzy set

Visual diagram · (in preparation) · Math · (in preparation) · Worked example · 3 difficulty levels.

TL;DR. A set where elements can have a degree of membership between 0 and 1, unlike traditional binary sets.

Technical Definition

A set where elements can have a degree of membership between 0 and 1, unlike traditional binary sets.

How it works

Fuzzy sets generalize traditional sets by allowing elements to have a partial membership, represented by a value between 0 and 1. This enables the representation of vagueness and uncertainty, forming a core component of fuzzy logic systems.

Related Concepts

  • Fuzzy logic — A logic system that uses 'degrees of truth' between 0 and 1, allowing for imprecise reasoning.

Further Reading

  • Wikipedia — Glossary of AI