3.7. The formation of algal solutions and other biological colonies in surface waters isstrongly dependent on such factors as the pH of the water, the temperature, andoxygen content. Relationships among these various factors enable environmentalengineers to study issues involving bioremediation using the algae. Suppose wedefine a set T of water temperatures from a lake on the following discrete universeof temperatures in degrees Fahrenheit:T = {50, 55, 60}.And suppose we define a universe O of oxygen content values in the water, aspercent by volume:O = {1, 2, 6}.Suppose a Cartesian product is performed between specific fuzzy sets T and Odefined on T and O to produce the following relation:16.50 [0.1 0.2 0.9160 | 0.8 0.7 0.1R = Tx 0 = 55 0.10.7Now suppose we define another fuzzy set of temperatures, "about 55°F," with thefollowing membership values:0.5IT =5010.7+5560(a) Using max-min composition, find S IT o (T × O).(b) Using max-product composition, find S = IT o R.

GIVEN : R = T × O = 0.10.20.90.110.70.80.70.1 IT…

Answered: 1 6. 50 [0.1 0.2 0.9 R = T x 0 = 55 0.1…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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11:39 ( Search 7abibit 2albi My Sis 8 Photos 10:34 AM a docs.google.com Select 1 Classroom . © 78% Let X = {a, b, c}, T1 = {X, ̟, {a}, {b}, {a,b}} and T2 = {X, p, {a}, {c}, {a,c}}. Then one of the following is true: * the smallest topology on X containing both T1 and T2 is the discrete topology. T1UT2 is a topology on X but T1NT2 is not T1NT2 and T1UT2 are both topologies on X T1NT2 and T1UT2 both cannot be topologies on X Let X be a non empty set and p be a fixed point in X. Define T={X, AcX such that peA}. Then any subset of X containing p is * closed but not open in (X,T) open but not closed in (X,T) clopen in (X,T) neither open nor closed in (X,T) Let R (the set of real numbers) beequipped1:39 AM 1 Classroom .l ? 10:34 AM © 78% a docs.google.com
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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.