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<h1>Decision Support System</h1> | ||
<h2>Process and Computations</h2> | ||
<ul> | ||
<li>Each Factor has textual identification and a numeric rank.</li> | ||
<li>Each Alternative has a textual identification and a final score.</li> | ||
</ul> | ||
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<h3>Decision-Maker Input:</h3> | ||
<ul> | ||
<li>Textual identification of each alternative</li> | ||
<li>Result: Collection of Alternatives</li> | ||
</ul> | ||
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<h3>Decision-Maker Input:</h3> | ||
<ul> | ||
<li>Textual identification of each factor</li> | ||
<li>Result: Collection of Factors</li> | ||
</ul> | ||
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<h3>Facilitated Input (using two-item relative quantification):</h3> | ||
<ul> | ||
<li>Relative rankings of factors</li> | ||
<li>Result: A relative ranking value associated with each Factor</li> | ||
</ul> | ||
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<h3>Facilitated Input (using two-item relative quantification):</h3> | ||
<ul> | ||
<li>Relative cross-rankings of choices within each factor</li> | ||
<li>Result: A matrix of Choices x Factors with relative ranking values of Choices within each Factor</li> | ||
</ul> | ||
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<h3>Normalization of Cross-Rankings within Each Factor:</h3> | ||
<ul> | ||
<li>Divide the value of each cross-ranking within a Factor by the sum of all cross-ranking values associated with that Factor.</li> | ||
</ul> | ||
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<h3>Weighted Sum for Each Alternative:</h3> | ||
<ul> | ||
<li>Compute the weighted sum for each Alternative by adding together the normalized cross-rankings of the Alternative | ||
each multiplied by the rank of its associated Factor.</li> | ||
</ul> | ||
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<h3>Normalization of Final Scores:</h3> | ||
<ul> | ||
<li>Determine the maximum weighted sum over all Alternatives.</li> | ||
<li>Divide each Alternative’s weighted sum by that maximum weighted sum, yielding values between 0.0 and 1.0.</li> | ||
<li>Optionally, multiply the results by a pre-determined constant representing the “top choice” value (e.g., 100).</li> | ||
</ul> |