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Can you solve part 3 ASAP i want it in 1:30 Hours
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1. A student at UP is in the process to select a graduate school in the United States. After a
lot of thinking and consultation with some of his colleagues who participated in the study
abroad program they agreed that the best three criteria to use are: Quality of Education
(QE), Similarity of Environment (SE) and Cost. They narrowed down the alternatives to
four universities. The universities are Massachusetts Institute of Technology (MIT),
University of Texas (UT), University of California (UC) and University of Florida (UF).
On scale from 1 to 10 they obtained the score in the matrix below for each university
Assume the weights for QE, SE and cost are 0.5, 0.3 and o.2 respectively. Apply TOPSIS
to rank these schools from the best to the worst.
(20)
QE
9
7
7
6
MIT
UT
UC
UF
SE
6
7
9
9
Cost
8
5
7
6
2. Find the solution that minimizes the maximum regret.
(10)
3. Given the following pairwise comparison matrix between the criteria find the weights for
each criteria.
(4)
QE
SE
Cost
QE
SE
Cost
1
5
7
1
3
1
(i) Compute the consistency value for the above matrix.
(ii)
(iii)
(iv)
(3)
Develop the AHP hierarchy for the problem of selecting a graduate school
stated in problem 1.
(3)
Use the scores in the matrix in problem 1 and Saaty scale of pairwise
comparisons to develop matrices for comparing the alternatives.
(6 )
Apply AHP to rank the universities in problem1.
(14)
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