3.2. In a water treatment process, we use a biological process to remove biodegradable organic matter. The organic matter is measured as the BOD, where the optimal BOD of effluent should be less than 20 mgl-. Let B represent a fuzzy set "good effluent" on the universe of optical BOD values (20, 40, 60) as defined by the membership function 0.5 0.8, 1.0 20 60 40 The retention time is critical to a bioreactor, we try to find the retention time, measured in days. Let T represent a fuzzy set called optimal retention time on the universe of days (6, 8, 10) as given by the membership function 0.9 0.6 0.4 The utilization rate of organic food indicates the level of the treatment in the biological process, and this rate is measured on a universe of fractions from 0 to 1, where 1 is optimal. Fuzzy set U will represent "high utilization rates." as defined by the membership function 0.8 0.6 0.4 0.9 0.8 0.7 0.6 We can define the following relations: R = Bx T. which reflects how retention time affects BOD removal; S=TxU, which relates how retention time affects organic food consumption; and W = RoS, which represents the BOD removal and food utilization. (a) Find R and S using Cartesian products. (b) Find W using max-min composition.
3.2. In a water treatment process, we use a biological process to remove biodegradable organic matter. The organic matter is measured as the BOD, where the optimal BOD of effluent should be less than 20 mgl-. Let B represent a fuzzy set "good effluent" on the universe of optical BOD values (20, 40, 60) as defined by the membership function 0.5 0.8, 1.0 20 60 40 The retention time is critical to a bioreactor, we try to find the retention time, measured in days. Let T represent a fuzzy set called optimal retention time on the universe of days (6, 8, 10) as given by the membership function 0.9 0.6 0.4 The utilization rate of organic food indicates the level of the treatment in the biological process, and this rate is measured on a universe of fractions from 0 to 1, where 1 is optimal. Fuzzy set U will represent "high utilization rates." as defined by the membership function 0.8 0.6 0.4 0.9 0.8 0.7 0.6 We can define the following relations: R = Bx T. which reflects how retention time affects BOD removal; S=TxU, which relates how retention time affects organic food consumption; and W = RoS, which represents the BOD removal and food utilization. (a) Find R and S using Cartesian products. (b) Find W using max-min composition.
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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Transcribed Image Text:3.2. In a water treatment process, we use a biological process to remove biodegradable
organic matter. The organic matter is measured as the BOD, where the optimal
BOD of effluent should be less than 20 mgl-. Let B represent a fuzzy set "good
effluent" on the universe of optical BOD values (20, 40, 60) as defined by the
membership function
0.5
0.8
1.0
60
40
20
The retention time is critical to a bioreactor; we try to find the retention time,
measured in days. Let T represent a fuzzy set called optimal retention time on the
universe of days (6, 8, 10) as given by the membership function
0.9
0.6
0.4
HI = 10* 8
The utilization rate of organic food indicates the level of the treatment in the
biological process, and this rate is measured on a universe of fractions from 0 to 1,
where 1 is optimal. Fuzzy set U will represent "high utilization rates," as defined
by the membership function
0,8
0.6
0.4
0.9 0.8 0.7 0.6
We can define the following relations:
R = B x T, which reflects how retention time affecets BOD removal:
S=T x U, which relates how retention time affects organic food consumption;
and
W = Ro S, which represents the BOD removal and food utilization.
(a) Find R and S using Cartesian products.
(b) Find W using max-min composition.
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