4.11. A landfill is the cheapest method of solid waste treatment and disposal. Once disposed into a landfill, solid waste can be a major source of energy due to its potential to produce methane. However, all the solid waste disposed cannot generate methane at the same rate and in the same quantities. Based on its biodegradability, solid waste is classified into three distinct groups, namely, rapidly biodegradable, moderately biodegradable, and slowly biodegradable. Design of a landfill gas extrac- tion system is based on gas production through the first two groups; both have different gas production patterns. The data collected from experiments and experi- ences are presented by the sets A, and A2 as shown in Figure P4.11, where A1 and A2 are defined as the fuzzy sets rapidly biodegradable and slowly biodegradable, respectively, in units of years. In order to properly design the gas extraction system, we need a single representative gas production value. For the logical union of the membership functions shown, we want to find the defuzzified quantity. For each of the seven methods presented in this chapter, assess (a) whether each is applicable and, if so, (b) calculate the defuzzified value, z". 4,= 1.0- A2 0.5 (уears) 01 2 3 4 5 6 7 8 9 10 FIGURE PA 11

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4.11. A landfill is the cheapest method of solid waste treatment and disposal. Once
disposed into a landfill, solid waste can be a major source of energy due to its
potential to produce methane. However, all the solid waste disposed cannot generate
methane at the same rate and in the same quantities. Based on its biodegradability,
solid waste is classified into three distinct groups, namely, rapidly biodegradable,
moderately biodegradable, and slowly biodegradable. Design of a landfill gas extrac-
tion system is based on gas production through the first two groups; both have
different gas production patterns. The data collected from experiments and experi-
ences are presented by the sets Aj and A2 as shown in Figure P4.11, where A1 and
A2 are defined as the fuzzy sets rapidly biodegradable and slowly biodegradable,
respectively, in units of years. In order to properly design the gas extraction system,
we need a single representative gas production value. For the logical union of the
membership functions shown, we want to find the defuzzified quantity. For each of
the seven methods presented in this chapter, assess (a) whether each is applicable
and, if so, (b) calculate the defuzzified value, z*.
14, = 1.0 -
A1
A2
0.5 -
I (years)
012
4.
8.
9.
10
FIGURE P4.11
Transcribed Image Text:4.11. A landfill is the cheapest method of solid waste treatment and disposal. Once disposed into a landfill, solid waste can be a major source of energy due to its potential to produce methane. However, all the solid waste disposed cannot generate methane at the same rate and in the same quantities. Based on its biodegradability, solid waste is classified into three distinct groups, namely, rapidly biodegradable, moderately biodegradable, and slowly biodegradable. Design of a landfill gas extrac- tion system is based on gas production through the first two groups; both have different gas production patterns. The data collected from experiments and experi- ences are presented by the sets Aj and A2 as shown in Figure P4.11, where A1 and A2 are defined as the fuzzy sets rapidly biodegradable and slowly biodegradable, respectively, in units of years. In order to properly design the gas extraction system, we need a single representative gas production value. For the logical union of the membership functions shown, we want to find the defuzzified quantity. For each of the seven methods presented in this chapter, assess (a) whether each is applicable and, if so, (b) calculate the defuzzified value, z*. 14, = 1.0 - A1 A2 0.5 - I (years) 012 4. 8. 9. 10 FIGURE P4.11
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