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Analytical Hierarchy Process 
Rajiv Kumar
Or does this happen
• • Very similar to hierarchical value structure 
• – Goal on top (Fundamental Objective) 
• – Decompose into sub-goals (Means 
objectives) 
• – Further decomposition as necessary 
• – Identify criteria (attributes) to measure 
achievement of goals (attributes and objectives) 
• • Alternatives added to bottom 
• – Different from decision tree 
• – Alternatives show up in decision nodes 
• – Alternatives affected by uncertain events 
• – Alternatives connected to all criteria
1 -9 Scale 
Intensity of Importance Definition 
1 Equal Importance 
3 Moderate Importance 
5 Strong Importance 
7 Very Strong Importance 
9 Extreme Importance 
2, 4, 6, 8 For compromises between the above 
Reciprocals of above In comparing elements i and j 
- if i is 3 compared to j 
- then j is 1/3 compared to i 
Rationals Force consistency 
Measured values available
"Never tell people how to do things. Tell 
them what to do and they will surprise you 
with their ingenuity."
Analytical Hierarchy Process (AHP)

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Analytical Hierarchy Process (AHP)

  • 2. Or does this happen
  • 3.
  • 4.
  • 5.
  • 6. • • Very similar to hierarchical value structure • – Goal on top (Fundamental Objective) • – Decompose into sub-goals (Means objectives) • – Further decomposition as necessary • – Identify criteria (attributes) to measure achievement of goals (attributes and objectives) • • Alternatives added to bottom • – Different from decision tree • – Alternatives show up in decision nodes • – Alternatives affected by uncertain events • – Alternatives connected to all criteria
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15. 1 -9 Scale Intensity of Importance Definition 1 Equal Importance 3 Moderate Importance 5 Strong Importance 7 Very Strong Importance 9 Extreme Importance 2, 4, 6, 8 For compromises between the above Reciprocals of above In comparing elements i and j - if i is 3 compared to j - then j is 1/3 compared to i Rationals Force consistency Measured values available
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31. "Never tell people how to do things. Tell them what to do and they will surprise you with their ingenuity."