For selection of a site for nuclear waste disposal using MCA, we use the proximity to highly populated areas as one of the criteria. The proximity is measured in terms of distance. Suppose x_min is the shortest distance from the proposed disposal sites to the highly populated areas in the study area, x_max is the longest distance from the proposed disposal sites to the highly populated areas, and x_i is the shortest distance from the proposed disposal site i to the highly populated areas. Using the score range procedure, which of the following equations should you use to standardise the criterion scores? A) $\text { Score }_{i}=\frac{x_{i}-x_{\min }}{x_{\max }-x_{\min }}$ B) $\text { Score }_{i}=\frac{x_{\max }-x_{i}}{x_{\max }-x_{\min }}$ C) $\operatorname{Score}_{i}=\frac{x_{i}}{x_{\max }}$ D) $\operatorname{SCOre}_{i}=\frac{x_{\mathrm{min}}}{x_{i}}$

Question

Quizplus · Accepted Answer

The score range procedure standardises the criterion scores by subtracting the minimum value from each value and then dividing the result by the range of the values. In this case, the minimum value is x_min and the range is x_max - x_min. Therefore, the correct equation is:$\text { Score }_{i}=\frac{x_{i}-x_{\min }}{x_{\max }-x_{\min }}$

For Selection of a Site for Nuclear Waste Disposal Using Score i=xi−xmin⁡xmax⁡−xmin⁡\text { Score }_{i}=\frac{x_{i}-x_{\min }}{x_{\max }-x_{\min }} Score i​=xmax​−xmin​xi​−xmin​​

For Selection of a Site for Nuclear Waste Disposal Using $\text { Score }_{i}=\frac{x_{i}-x_{\min }}{x_{\max }-x_{\min }}$