Chapter 3
Analytical Hierarchy Process (AHP)
Dilber Uzun Ozsahin, Mennatullah Ahmed, and Berna Uzun
Abstract This study provides a comprehensive explanation about one of the important multi-criteria decision-making technique entitled Analytical Hierarchy Process
(AHP). This chapter will include a summary of the steps required to carry out the
mathematical computation of AHP for problems with both consistency and inconsistency in the decision-maker’s preferences. Hierarchy design, prioritization, criteria
weights, and consistency are all extensively taken into consideration. Further elaborations regarding the different applications of the AHP process will also be discussed,
including various fields such as business-related decision making and decision theory
in the field of medicine. The limitations imposed by the analytical hierarchy process
are also discussed.
Keywords Analytical Hierarchy Process · Criteria Weights · Consistency Index ·
Prioritization · Pair-wise Comparison · Ratio Scales · Eigen Vectors · Eigen Value
D. Uzun Ozsahin · B. Uzun (B)
DESAM Institute, Near East University, Nicosia, Turkish Republic of Northern Cyprus, Turkey
e-mail: berna.uzun@neu.edu.tr
D. Uzun Ozsahin
e-mail: dilber.uzunozsahin@neu.edu.tr
D. Uzun Ozsahin · M. Ahmed
Department of Biomedical Engineering, Near East University, Nicosia, Turkish Republic of
Northern Cyprus, Turkey
B. Uzun
Department of Mathematics, Near East University, Nicosia, Turkish Republic of Northern Cyprus,
Turkey
D. Uzun Ozsahin
Medical Diagnostic Imaging Department, College of Health Science, University of Sharjah,
Sharjah, United Arab Emirates
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
D. Uzun Ozsahin et al. (eds.), Application of Multi-Criteria Decision Analysis in
Environmental and Civil Engineering, Professional Practice in Earth Sciences,
https://doi.org/10.1007/978-3-030-64765-0_3
17
Analytical Hierarchy Process (AHP)
Dilber Uzun Ozsahin, Mennatullah Ahmed, and Berna Uzun
Abstract This study provides a comprehensive explanation about one of the important multi-criteria decision-making technique entitled Analytical Hierarchy Process
(AHP). This chapter will include a summary of the steps required to carry out the
mathematical computation of AHP for problems with both consistency and inconsistency in the decision-maker’s preferences. Hierarchy design, prioritization, criteria
weights, and consistency are all extensively taken into consideration. Further elaborations regarding the different applications of the AHP process will also be discussed,
including various fields such as business-related decision making and decision theory
in the field of medicine. The limitations imposed by the analytical hierarchy process
are also discussed.
Keywords Analytical Hierarchy Process · Criteria Weights · Consistency Index ·
Prioritization · Pair-wise Comparison · Ratio Scales · Eigen Vectors · Eigen Value
D. Uzun Ozsahin · B. Uzun (B)
DESAM Institute, Near East University, Nicosia, Turkish Republic of Northern Cyprus, Turkey
e-mail: berna.uzun@neu.edu.tr
D. Uzun Ozsahin
e-mail: dilber.uzunozsahin@neu.edu.tr
D. Uzun Ozsahin · M. Ahmed
Department of Biomedical Engineering, Near East University, Nicosia, Turkish Republic of
Northern Cyprus, Turkey
B. Uzun
Department of Mathematics, Near East University, Nicosia, Turkish Republic of Northern Cyprus,
Turkey
D. Uzun Ozsahin
Medical Diagnostic Imaging Department, College of Health Science, University of Sharjah,
Sharjah, United Arab Emirates
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
D. Uzun Ozsahin et al. (eds.), Application of Multi-Criteria Decision Analysis in
Environmental and Civil Engineering, Professional Practice in Earth Sciences,
https://doi.org/10.1007/978-3-030-64765-0_3
17