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Artificial Intelligence and Soft Computing: Behavioral ... - Arteimi.info

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known. The aim is to estimate the steady-state belief of all propositions in the<br />

network. Since stability of the reasoning model is guaranteed, the belief<br />

revision process is continued until steady- state is reached. In fact steady-state<br />

occurs in the reasoning model of case-III after 5 belief revision cycles. Once<br />

the steady-state condition is reached, the network may be used for generating<br />

new inferences.<br />

Initial Weights wij<br />

Table 20.1: Parameters of case history I.<br />

Initial Fuzzy Beliefs ni<br />

w71=0.8, w72=0.7, w93=0.6,<br />

w14=0.9, w13,5=0.8, w13,6=0.5<br />

n1=0.2, n2=0.8, n3=0.75,<br />

n4=0.9,<br />

n5=0.6, n6=0.75, n7=0.35,<br />

n8=0.85, n9=0.45, n10=0.85,<br />

n11=0.7, n12=0.65, n13=0.<br />

Steady-state weights after 4 iterations w71=0.35, w72=0.60, w93=0.35,<br />

thj =0 for all transitions trj<br />

w14=0.35, w13,5=0.35,<br />

w13,6=0.50<br />

The FPN, given in fig. 20.4, has been formed using the above rule-base <strong>and</strong><br />

database from a typical case history. The fuzzy beliefs of the places in fig.<br />

20.4 are found from a proven historical database. The initial weights in the<br />

network are assigned arbitrarily <strong>and</strong> the model for encoding of weights is used<br />

for computing the steady-state value of weights (vide Table 20.1).

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