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1 6. 50 [0.1 0.2 0.9 R = T x 0 = 55 0.1 1 0.7 60 0.8 0.7 0.1 Now suppose we define another fuzzy set of temperatures, "about 55°F," with the following membership values: 0.5 1 0.7 50 55 60 (a) Using max-min composition, find S IT o (T ). (b) Using max-product composition, find S IT o R.

1 6. 50 [0.1 0.2 0.9 R = T x 0 = 55 0.1 1 0.7 60 0.8 0.7 0.1 Now suppose we define another fuzzy set of temperatures, "about 55°F," with the following membership values: 0.5 1 0.7 50 55 60 (a) Using max-min composition, find S IT o (T ). (b) Using max-product composition, find S IT o R.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3.7. The formation of algal solutions and other biological colonies in surface waters is strongly dependent on such factors as the pH of the water, the temperature, and oxygen content. Relationships among these various factors enable environmental engineers to study issues involving bioremediation using the algae. Suppose we define a set T of water temperatures from a lake on the following discrete universe of temperatures in degrees Fahrenheit: T = {50, 55, 60}. And suppose we define a universe O of oxygen content values in the water, as percent by volume: O = {1, 2, 6}. Suppose a Cartesian product is performed between specific fuzzy sets T and O defined on T and O to produce the following relation: 1 6. 50 [0.1 0.2 0.9 1 60 | 0.8 0.7 0.1 R = Tx 0 = 55 0.1 0.7 Now suppose we define another fuzzy set of temperatures, "about 55°F," with the following membership values: 0.5 IT = 50 1 0.7 + 55 60 (a) Using max-min composition, find S IT o (T × O). (b) Using max-product composition, find S = IT o R.
Transcribed Image Text:3.7. The formation of algal solutions and other biological colonies in surface waters is strongly dependent on such factors as the pH of the water, the temperature, and oxygen content. Relationships among these various factors enable environmental engineers to study issues involving bioremediation using the algae. Suppose we define a set T of water temperatures from a lake on the following discrete universe of temperatures in degrees Fahrenheit: T = {50, 55, 60}. And suppose we define a universe O of oxygen content values in the water, as percent by volume: O = {1, 2, 6}. Suppose a Cartesian product is performed between specific fuzzy sets T and O defined on T and O to produce the following relation: 1 6. 50 [0.1 0.2 0.9 1 60 | 0.8 0.7 0.1 R = Tx 0 = 55 0.1 0.7 Now suppose we define another fuzzy set of temperatures, "about 55°F," with the following membership values: 0.5 IT = 50 1 0.7 + 55 60 (a) Using max-min composition, find S IT o (T × O). (b) Using max-product composition, find S = IT o R.
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