Environmental Engineering Reference
In-Depth Information
Table 11. The example of comparison matrix for strategies S3 (different FPGA technologies)
Diversity Criterion
W
k
, Weight
of Diversity
Criterion
Alternative RTSs
Strategy S
31
,
FPGA
1
Strategy S
32
,
FPGA
2
Strategy S
33
FPGA
3
Design
Technologies
0,21
S
D
D
Approach (for the same technology)
0,19
S
NS
NS
Architecture
0,6
D
S
D
Equipment Manufacturer
Design (for different Manufacturer)
0,5
S
D
D
Design (for the same Manufacturer)
0,5
D
D
NS
Logic Processing equipment
Logic Processing Architecture
0,3
D
D
S
Component integration Architecture
0,7
S
D
NS
Functional
Purpose, function, control logic, or actuation
means
1
S
D
D
Life-cycle
Design organizations/companies
0,24
S
D
NS
Design/development teams
0,36
D
NS
NS
Implementation/validation teams
0,4
S
D
Logic
Algorithms, logic, program architecture
0,33
D
D
D
Runtime environment
0,47
D
NS
D
Functional representation
0,2
D
S
S
Signal
Parameters sensed
0,6
D
NS
S
Physical effects used
0,4
NS
D
D
0, for x m m -
1 -
m - x
, for m - < x < m
≤ ≤
α
The expert is proposed to use linguistic val-
ues to evaluate all possible S
3j
strategies. The
choice of the linguistic term with its semantics
is a very important issue. According to (Zadeh,
1999) fuzzy numbers support the semantics of
the linguistic terms. It establishes the linguistic
expression domain, in which experts provide their
linguistic assessment of alternatives according to
their knowledge.
In this section, we shall use labels represented
by triangular fuzzy numbers. A triangular fuzzy
number, denoted by M = <m, α, β>, has the
membership function:
α
( )
µ
x =
(12)
α
M
1, for x = m
0, for x m +
β
.
≥
The point m, with membership grade 1, is
called the mean value and α, β are the left hand
and right hand spread of M respectively.
For example, we assign the following semantics
to the set of three terms (graphically, see Figure 37):
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