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

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invite the experts to attend a meeting <strong>and</strong> record the resulting outcome of<br />

the meeting. Alternatively, she may visit the office of the experts <strong>and</strong> record<br />

his view about the concerned problem <strong>and</strong> finally combine their views<br />

together by some principle. The former scheme suffers from the following<br />

limitations [6], [13]:<br />

a) Less participation of an expert because of dominance of his<br />

supervisor or senior experts.<br />

b) Compromising solutions generated by a group with conflicting<br />

opinions.<br />

c) Wastage of time in group meetings.<br />

d) Difficulties in scheduling the experts.<br />

All the above limitations of the former scheme, however, can be<br />

overcome by the latter scheme. But how can we integrate the views of the<br />

multiple number of experts in the latter scheme? An answer to this question<br />

is presented here following Rush <strong>and</strong> Wallace [17]. In a recent publication,<br />

Rush <strong>and</strong> Wallace devised a scheme to combine ‘the influence diagrams’<br />

(ID) of several experts for constructing a ‘multiple expert influence<br />

diagram’ (MEID). The MEIDs represent the causal dependence<br />

relationship of facts, supported by a majority of the experts, <strong>and</strong> thus may be<br />

used as a collective source of knowledge, free from human biases <strong>and</strong><br />

inconsistencies.<br />

20.3.1 Constructing MEIDs from IDs<br />

Formally, “an ID is a directed graph which displays the decision points,<br />

relevant events <strong>and</strong> potential outcomes of a decision situation [17].” The<br />

rectangular nodes in an ID represent facts or decisions, while the directed<br />

arcs denote causal dependencies. For underst<strong>and</strong>ing the definition, let us<br />

consider the “oil wildcatter decision problem [17]”. Here the decision is<br />

whether to drill at a given geographical location for possible exploration of<br />

natural oil. An ID for the above problem, provided by an expert, is<br />

presented in fig. 20.1.<br />

The IDs can be represented by incidence matrix with (i, j)-th element<br />

denoted by wij, where

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