Tech-Wonders.com

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

Tech-Wonders.com » fuzzy-logic

Implication in Fuzzy Logic

If P, Q, R are Fuzzy propositions defined on sets A, B, C of their respective universe of discourses, then the fuzzy propositions P, Q, R are given by
P : x is A, A ⊂ X
Q : y is B, B ⊂ Y
R : y is C, C ⊂ Y

P → Q : Max [ 1 – T(P), T(Q) ]
If A, then B (in linguistic rule form)

In set theoretic form, it is given by the relation
R = (A X B) V (Ac X Y)

It membership function is given by

If-A-then-B-membership-function

for the linguistic “If A then B else C”, the set theoretic form is given by
R = (A X B) V (Ac X C)

Its membership function is given by –

If-A-then-B-else-C-membership-function

Other forms of Fuzzy Implication:-

μR(x,y) implication

μR(x,y) when μB(y) less than or equal to μA(x)

Correlation minimum or Mamdani’s Implication:-

Correlation minimum or Mamdani's Implication

Łukasiewicz Implication:-

Lukasiewicz Implication

Bounded-Sum Implication:-

Bounded-Sum Implication

Correlation Product Implication:-

correlation-product-implication

Browerian Implication:-

Browerian-Implication

R-SEQ Implication (Standard Sequence Logic):-

R-SEQ Implication or Standard Sequence Logic
Tweet Telegram WhatsApp
Email Mix submit VK Pin It
Prev Article
Next Article

Related Posts

  • More Fuzzy Relation Terms
    More Fuzzy Relation Terms
  • Operations on Crisp Sets 1
    Operations on Crisp Sets
  • What are Angular Fuzzy Sets?
    What are Angular Fuzzy Sets?
  • Random Variable Distribution Discrete Random Variable and Continuous Random Variable
    Random Variable Distribution Discrete Random Variable and …

Tech-Wonders.com

Technology Blog

About the Admin

RamaRaoBobby 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

Recent Comments

  • Mark George on How Tech Innovations Facilitate Every Day Life of the Elderly
  • Rex Gamer on Play Offroad Outlaws on PC – A Gaming Guide for Beginners

Categories

Always Remain in Touch

  • Archives
  • Disclaimer
  • Privacy Policy
  • Featured Comments
Copyright © 2021 Tech-Wonders.com