4.3. The fuzzy sets A, B, and C are all defined on the universe X = [0, 5] with the following membership functions: 2x and µc(x) = 1 HA(x) = HB(x) = 2-*, 1+5(x – 5)2' x +5 (a) Sketch the membership functions. (b) Define the intervals along the x axis corresponding to the à-cut sets for each of the fuzzy sets A, B, and C for the following values of À: (i) 2 = 0.2 (ii) A = 0.6 (iii) A = 0.9 (iv) A = 1.0.
4.3. The fuzzy sets A, B, and C are all defined on the universe X = [0, 5] with the following membership functions: 2x and µc(x) = 1 HA(x) = HB(x) = 2-*, 1+5(x – 5)2' x +5 (a) Sketch the membership functions. (b) Define the intervals along the x axis corresponding to the à-cut sets for each of the fuzzy sets A, B, and C for the following values of À: (i) 2 = 0.2 (ii) A = 0.6 (iii) A = 0.9 (iv) A = 1.0.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
![4.3. The fuzzy sets A, B, and C are all defined on the universe X = [0, 5] with the
following membership functions:
2.x
and µc(x) =
1
HA(x)
HB(x) = 2-*,
1+5(x – 5)2
x +5
(a) Sketch the membership functions.
(b) Define the intervals along the x axis corresponding to the A-cut sets for each
of the fuzzy sets A, B, and C for the following values of À:
(i) 2 = 0.2
(ii) A = 0.6
(iii) = 0.9
(iv) A = 1.0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd5aa1e3-70e9-47e5-a8d8-1f1797718ad0%2Fd7d4c34b-0e7c-4b9b-bea6-3959fd100ad8%2Fhw9bfcp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.3. The fuzzy sets A, B, and C are all defined on the universe X = [0, 5] with the
following membership functions:
2.x
and µc(x) =
1
HA(x)
HB(x) = 2-*,
1+5(x – 5)2
x +5
(a) Sketch the membership functions.
(b) Define the intervals along the x axis corresponding to the A-cut sets for each
of the fuzzy sets A, B, and C for the following values of À:
(i) 2 = 0.2
(ii) A = 0.6
(iii) = 0.9
(iv) A = 1.0.
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