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)
429
Mass of credibility attributed to another naviga-
tional aid and quality of new expert opinions as-
sumed as trapezoid fuzzy value (k = 3 and w
T
= 0.8):
m
2
(d
2
) = (0.4, 0.44, 0.76, 0.8)
α = 1 [0.44, 0.76]
m
2
(d
2
)≈ α =0.5 [0.42, 0.78]
α =0.0 [0.40, 0.80]
Mass of uncertainty attributed to this positioning
system and quality of other expert opinions ex-
pressed as trapezoid fuzzy value with k = 3 and w
T
=
0.8):
m
2
(any) = (0.2, 0.24, 0.56, 0.6)
α = 1 [0.24, 0.56]
m
2
(any)≈ α =0.5 [0.22, 0.58]
α =0.0 [0.20, 0.60]
Same as before fuzzy values were approximated
by interval values at three selected possibility levels.
Conditions of definition 1 are observed for each of
the levels thus the second assignment is also correct
belief structure.
Indications coming from two sources were asso-
ciated using extended Dempster-Shafer scheme and
optimization approach. Obtained results are shown
in table 4.
Table 4. Combination of two navigational aids
__________________________________________________
m
1
(µ
d1
) m
1
(any)
α = 1 [0.84, 0.96] [0.04, 0.36]
α =0.5 [0.82, 0.98] [0.02, 0.38]
α =0.0 [0.80, 1] [0, 0.40]
__________________________________________________
m
1-2
(µ
d1
∧µ
d2
) m
1-2
(µ
d2
)
α = 1 [0.44, 0.76] [0.37, 0.73] [0.018, 0.27]
m
2
(µ
d2
) α =0.5 [0.42, 0.78] [0.34, 0.76] [0.008 0.30]
α =0.0 [0.40, 0.80] [0.32, 0.80] [0.0, 0.32]
m
1-2
(µ
d1
) m
1-2
(any)
α = 1
[0.24, 0.56] [0.20, 0.54] [0.01, 0.20]
m
2
(any) α =0.5 [0.22, 0.58] [0.18, 0.57] [0.004 0.22]
α =0.0 [0.20, 0.60] [0.16, 0.60] [0.0 0.24]
__________________________________________________
In table 4 there is expression m
1-2
(µ
d1
∧µ
d2
) that
remains to be explained. It is at the intersection of
m
2
(µ
d2
) row and m
1
(µ
d1
) column and mean joint con-
fidence regarding distances to the same obstacle
measured by different navigational aid. In case of
crisp events the mass would be assigned to empty set
(∅). In case when events are fuzzy the expression
should be written as m
1-2
(µ
d1
(x
i
)∧µ
d2
(x
i
)) and inter-
preted as a mass of confidence attributed to conjunc-
tion of two fuzzy values respectively µ
d1
(x
i
) and
µ
d2
(x
i
). In this case µ
d1
(x
i
)∧µ
d2
(x
i
) =(0/5, 0.2/6,
0.2/7, 0.8/8, 1/9, 0.6/10, 0.4/11)∧(0.2/5, 0.4/6, 0.6/7,
1/8, 0.6/9, 0.2/10, 0/11) = (0/5, 0.2/6, 0.2/7, 0.8/8,
0.6/9, 0.2/10, 0/11). Note that conjunction ∧ means
minimum operation in the two sets. As a result of
combination of fuzzy events apart from initial sets
appear yet another membership functions. The more
sources are combined the more numerous count of
such extra events. Note that such events bring some
support for certain classes of fuzzy events.
Seemingly this phenomenon makes the approach
vague. To some extent the statement is true. At the
other hand result of combination could be treated as
an encoded knowledge base. Having such database
one is supposed to ask questions and get answers. As
a matter of fact this is main advantage of the ap-
proach.
Kind of questions that can be submitted to the
knowledge base depend on the problem at hand. In
discussed case it could be interesting to know sup-
port for a statement that the distance from the obsta-
cle is safe or sufficient one. Table 5 contains interval
values of belief functions for different regular fuzzy
functions related to considered scale of distances.
Figure 6. Bundle of benchmark membership functions
Benchmark membership functions used in table 5
are regular trapezoid ones presented in figure 6.
They are based on sixteen unity interval scale as pre-
sented in table 3. First of the functions reflects term
“safe”, second one is shifted left (closer to the obsta-
cle) by 1 unit and so on. In this way fourth function
is related to sufficient distance and seventh to close
condition.
Fuzzy belief functions values are given as α-cuts
for α=1, 0.5 and 0 in top to bottom order.
Figure 7 shows diagrams of three belief values
marked with asterisk in table 5. They represent in-
terval-valued beliefs that the distance is close, suffi-
cient and safe, for the highest possibility level. The
highest credibility with upper limit approaching 0.74
receives sufficient distance.
Table 5. Fuzzy beliefs for obtained combination results and se-
lected fuzzy distances
__________________________________________________
Pattern fuzzy value Belief function
__________________________________________________
α = 1 [0.074, 0.146]*
1 (0.5/10, 1/11, 1/12, 0.5/13) safe α =0.5 [0.069, 0.153]