Tech-Wonders.com

Menu
  • Apps
  • How To
  • Gadgets
    • Mobile
  • Software
  • Technology
  • Sitemap
  • Contact Us

Tech-Wonders.com » Fuzzy Logic

Properties of Crisp Sets

Set Theory and Sets are one of the fundamental and widely present concepts in mathematics. A Crisp Setor simple a Set is a well-defined collection of distinct objects where each object is considered in its own right. Here are the 11 main properties/laws of crisp sets:

Law of Commutativity:

  • (A ∪ B) = (B ∪ A)
  • (A ∩ B) = (B ∩ A)

Law of Associativity:

  • (A ∪ B) ∪ C = A ∪ (B ∪ C)
  • (A ∩ B) ∩ C = A ∩ (B ∩ C)

Law of Distributivity:

  • A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
  • A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

Idempotent Law

  • A ∪ A = A
  • A ∩ A = A

Identity Law

  • A ∪ Φ = A => A ∪ E = E
  • A ∩ Φ = Φ => A ∩ E = A

Here Φ is empty set and E is universal set or universe of discourse.

Law of Absorption

If A is a subset of B and conversely B is a superset of A then

  • A ∪ (A ∩ B) = A
  • A ∩ (A ∪ B) = A

Involution Law

  • (Ac)c = A

Law of Transitivity

  • If A ⊆ B, B ⊆ C, then A ⊆ C

Law of Excluded Middle

  • (A ∪ Ac) = E

Law of Contradiction

  • (A ∩ Ac) = Φ

De morgan laws

  • (A ∪ B)c = Ac ∩ Bc
  • (A ∩ B)c = Ac ∪ Bc

Tweet
Share
Linkedin
Whatsapp
Reddit
Email
Prev Article
Next Article
Tags:Crisp Sets
Ezoic | Increase your site revenue | AI for your ads

Recent Posts

  • How WhatsApp is Revolutionizing the Hospitality Industry
    How WhatsApp is Revolutionizing the Hospitality Industry
  • Chatting Through Dot and Dashes With the Help of Morse Code Translator
    Chatting Through Dot and Dashes With the Help of Morse Code Translator
  • How Technology is Tackling School Safety
    How Technology is Tackling School Safety
  • How to Sell Your Used Mac?
    How to Sell Your Used Mac?
  • Relax and Enjoy Online Puzzle Games on These Beautiful Sites
    Relax and Enjoy Online Puzzle Games on These Beautiful Sites

Categories

  • Apps
  • Big Data
  • Blog
  • Books and Reviews
  • C Programming Language
  • Cars
  • Certifications
  • Chemistry
  • Computers
  • Data Warehousing
  • Ecommerce
  • Electrical
  • Electronics
  • Engineering
  • Entrepreneurs
  • Facebook
  • Featured
  • FinTech
  • Fuzzy Logic
  • Gadgets
  • Games
  • Gmail
  • Google
  • Google Plus
  • Health Tech
  • How-to Topics
  • Infographics
  • Instagram
  • Internet
  • JavaScript
  • Jobs
  • LinkedIn
  • Marketing
  • Mathematics
  • Microsoft
  • Mobile
  • Numismatics
  • Online Earning
  • Pinterest
  • Plagiarism
  • Programming Languages
  • Python Programming Language
  • Real Estate
  • Road Transport
  • Salesforce
  • Science and Technology
  • Security
  • SEO
  • Social Media
  • Social Networking
  • Software
  • SQL
  • Swift Programming Language
  • TikTok
  • Travel
  • Troubleshooting Tips
  • Twitter
  • Web Designing and Development
  • Websites
  • Windows
  • WordPress
  • YouTube Tips and Tricks

Tech-Wonders.com

Technology Blog

About the Admin

RamaRao Bobby Hi there! I am RamaRao Bobby, Founder and Editor-in-Chief of
Tech-Wonders.com, Kakinada’s Top Technology Blog.

I am an avid Dog Lover and Tech Enthusiast. Read More

  • Archives
  • Disclaimer
  • Privacy Policy
  • Featured Comments

Recent Comments

  • Bharat Watane on Best Top 10 Marathi Websites and Blogs
  • Shree Dnyanopasana on Best Top 10 Marathi Websites and Blogs
  • Angela Bordio on 6 Online Resources for Improving Your Job Search
  • Deekshitha on Here’s All You Need To Know About Machine Learning And Why AI Is The Future
  • Akshay Sharma on Scaling Your Cloud Services When Employees Work From Home

Always Remain in Touch

Subscribe

Copyright © 2023 Tech-Wonders.com