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

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The FPN of fig. 20.5 is formed with the rule base <strong>and</strong> database given above.<br />

The system parameters of the FPN of fig. 20.5 are presented in Table 20.2.<br />

Initial Weights wij<br />

Initial Fuzzy Beliefs ni<br />

Table 20.2: Parameters of Case History 2.<br />

Steady-state weights after 3<br />

iterations<br />

thj =0 for all transitions trj<br />

The Current Reasoning Problem<br />

w31=0.75, w62=0.95, w43=0.8<br />

n1=0.8, n2=0.7, n3=0.1, n4=0.2,<br />

n5=0.9, n6=0.3<br />

w31=0.7, w62=0.10, w43=0.10<br />

Now, to solve a typical reasoning problem, whose knowledge <strong>and</strong> databases<br />

are presented herewith, we need to assign the derived weights from the last<br />

two case histories. The reasoning model can be used in this example to<br />

compute the steady-state belief of the proposition: Hates (lata,askoke), with<br />

the given initial beliefs of all the propositions. The system parameters of the<br />

FPN in fig. 20.6 are presented in Table 20.3.<br />

20.5.4 Implication of the results<br />

The analysis of stability envisages that both the encoding <strong>and</strong> the recall model<br />

of associative memory are unconditionally stable. The time required for<br />

convergence of the proposed model is proportional to the number of<br />

transitions on the largest path (cascaded set of arcs) [9] in the network. The<br />

model could be used for determination of CF of rules in a KB by maintaining<br />

consistency among the beliefs of the propositions of known case histories.

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