Bisection method

1) Identify the least and the most preferred attribute levels xmin and xmax and set:

2) Define the bisection point m1, for which

3) The value at m1 is:

4) Define the bisection point m2 between xmin and m1 and the bisection point m3 between m1 and xmax, such that

5) Repeat the steps 2-4 recursively until the value scale is defined with sufficient accuracy

v(xmin) = 0v(xmax) = 1

v(m1) - v(xmin) = v(xmax) - v(m1)

v(m1) = 0.5·v(xmin) + 0.5 · v(xmax) = 0.5

v(m2) = 0.5·v(xmin) + 0.5·v(m1) = 0.25v(m3) = 0.5·v(m1) + 0.5·v(xmax) = 0.75

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