3.8. Relating earthquake intensity to ground acceleration is an imprecise science. Sup- pose we have a universe of earthquake intensities (on the Mercalli scale), I = {5, 6, 7, 8, 9), and a universe of accelerations, A (0.2, 0.4, 0.6, 0.8, 1.0, 1.2), in gravity. The following fuzzy relation, R, exists on the Cartesian space I x A: 0.2 0.4 0.6 0.8 1.0 1.2 5 ГО.75 1 0.85 0.5 0.2 0 0.5 0.8 1 0.7 0.3 R = 7 8. 0.1 0.5 0.8 1 0.7 0.1 0.2 0.5 0.85 0.6 9L 0 0.2 0.5 0.9 1 If the fuzzy set "intensity about 7" is defined as 0.1 0.6 0.8 0.2 5 6. 7 8. determine the fuzzy membership of L, on the universe of accelerations, A.

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
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3.8. Relating earthquake intensity to ground acceleration is an imprecise science. Sup-
pose we have a universe of earthquake intensities (on the Mercalli scale), I =
{5, 6, 7, 8, 9}, and a universe of accelerations, A = {0.2, 0.4, 0.6, 0.8, 1.0, 1.2}, in
gravity. The following fuzzy relation, R, exists on the Cartesian space I x A:
0.2
0.4
0.6
0.8
1.0 1.2
5 ГО.75
1
0.85
0.5
0.2
6.
0.5
0.8
1
0.7
0.3
R = 7
0.1
0.5
0.8
1
0.7 0.1
8.
0.2
0.5
0.85
1
0.6
9L 0
0.2
0.5
0.9
1
If the fuzzy set "intensity about 7" is defined as
0.1
0.6
1
0.8
0.2
I =
5
+=+
8.
determine the fuzzy membership of I on the universe of accelerations, A.
Transcribed Image Text:3.8. Relating earthquake intensity to ground acceleration is an imprecise science. Sup- pose we have a universe of earthquake intensities (on the Mercalli scale), I = {5, 6, 7, 8, 9}, and a universe of accelerations, A = {0.2, 0.4, 0.6, 0.8, 1.0, 1.2}, in gravity. The following fuzzy relation, R, exists on the Cartesian space I x A: 0.2 0.4 0.6 0.8 1.0 1.2 5 ГО.75 1 0.85 0.5 0.2 6. 0.5 0.8 1 0.7 0.3 R = 7 0.1 0.5 0.8 1 0.7 0.1 8. 0.2 0.5 0.85 1 0.6 9L 0 0.2 0.5 0.9 1 If the fuzzy set "intensity about 7" is defined as 0.1 0.6 1 0.8 0.2 I = 5 +=+ 8. determine the fuzzy membership of I on the universe of accelerations, A.
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