menu
bartleby
search
close search
Hit Return to see all results

3.5 Determine the a-cut relation for the following fuzzy relation where a0.4 and 0.8R12340.0.a40580.b0.0.0.40100.0.0.4020.0.0.1.0800

Question

the book is "First Course on Fuzzy Theory and Applications"

3.5 Determine the a-cut relation for the following fuzzy relation where a
0.4 and 0.8
R
1
2
3
4
0.
0.
a
4
0
5
8
0.
b
0.
0.
0.
4
0
1
0
0.
0.
0.
4
0
2
0.
0.
0.
1.
0
8
0
0
help_outline

Image Transcriptionclose

3.5 Determine the a-cut relation for the following fuzzy relation where a 0.4 and 0.8 R 1 2 3 4 0. 0. a 4 0 5 8 0. b 0. 0. 0. 4 0 1 0 0. 0. 0. 4 0 2 0. 0. 0. 1. 0 8 0 0

fullscreen
check_circleAnswer
Step 1

Consider the given fuzzy relation:

R
1
2
4
a 0.4 0.0 0.5 0.8
b0.4 0.0 0.9 0.1
R
0.0 0.4 0.0 0.2
d 0.0 0.8 0.0 1.0
help_outline

Image Transcriptionclose

R 1 2 4 a 0.4 0.0 0.5 0.8 b0.4 0.0 0.9 0.1 R 0.0 0.4 0.0 0.2 d 0.0 0.8 0.0 1.0

fullscreen
Step 2

Now, from above relation, the membership function will be given as:

A 0,0.1,0.2,0.4,0.5,0.8,0.9,1.0
help_outline

Image Transcriptionclose

A 0,0.1,0.2,0.4,0.5,0.8,0.9,1.0

fullscreen
Step 3

Now, α -cut relation for a fuzzy relation R whi...

R {x, y)
(xy) 2 a, x e A,y EB
help_outline

Image Transcriptionclose

R {x, y) (xy) 2 a, x e A,y EB

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you

Show more Q&A add

Sorry about that. What wasn’t helpful?