Abstract
The analytic hierarchy process (AHP) is a theory of relative measurement on absolute scales of both quantitative (tangible) and qualitative (intangible) criteria based on the paired comparison judgment of knowledgeable experts. Pairwise comparisons can serve as a tool of measurement and enable a valid scale of priorities to be derived from these measurements. How to measure intangibles is the main concern of the mathematics of the AHP. But it must work with tangibles as well to give back measurements that can be used for the quantitative factors in a decision with accuracy on tangibles.
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References
Barzilai J (1997) Deriving weights from pairwise comparison matrices. J Oper Res Soc 48(12):1226–1232
Bhushan N, Kanwal R (2004) Strategic decision making: applying the analytic hierarchy process. Springer, London
Ehrgot M, Figueira JR, Greco S (2014) Trends in multiple criteria decision analysis. Springer International Publishing, Cham
Figueira J, Greco S, Ehrgott M (2005) Multiple criteria decision analysis: state of the art surveys. Springer, Berlin
Forman EH, Gass SI (2001) The analytical hierarchy process an exposition. Oper Res 49(4):469–487
Locatelli G, Mancini M (2012) A framework for the selection of the right nuclear power plant. Int J Prod Res 50(17):4753–4766
Ramik J (2007) A decision system using ANP and fuzzy inputs. Int J Innov Comput, Inf Control 3(4):825–837
Ramik J, Perzina R (2008) Microsoft excel add-in for solving multicriteria decision problems in fuzzy environment. In: Proceedings of the 26th international conference mathematical methods in economics. Technical University of Liberec
Ramik J, Perzina R (2008) Modern metody hodnocen a rozhodovn (Modern methods in evaluation and decision making). Karvina: Silesian University in Opava, School of business administration publishing, 252 p
Ramik J, Perzina R (2008) Method for solving fuzzy MCDM problems with dependent criteria. In: Proceedings of the joint 4th international conference on soft computing and intelligent systems and 9th international symposium on advanced intelligent systems. Nagoya University, Nagoya, pp 1323–1328
Ramik J, Perzina R (2010) A method for solving fuzzy multicriteria decision problems with dependent criteria. Fuzzy Optim Decis Mak 9(2), 123141
Ramik J, Perzina R (2012) DAME microsoft excel add-in for solving multicriteria decision problems with scenarios. In: Proceedings of the 30th international conference mathematical methods in economics. Silesian University, School of Business Administration
Ramik J, Vlach M (2013) Measuring consistency and inconsistency of pair comparison systems. Kybernetika 49(3):465–486
Ramik J, Perzina R (2014) Solving decision problems with dependent criteria by new fuzzy multicriteria method in excel. J Bus Manag 3:1–16
Ramik J, Perzina R (2014) Microsoft excel as a tool for solving multicriteria decision problems. In: Proceedings of the 18th annual conference, KES-2014 Gdynia, Poland. Procedia Computer Science, vol 35. Elsevier, Gdynia, pp. 1455–1463
Ramik J, Perzina R (2014) Solving multicriteria decision making problems using microsoft excel. In: Proceedings of the 32nd international conference mathematical methods in economics. Palacky University, Faculty of Science, Olomouc, pp 777–782
Saaty TL (1977) A scaling method for priorities in hierarchical structures. J Math Psychol 15(3):234–281
Saaty TL (1980) Analytic hierarchy process. McGraw-Hill, New York
Saaty TL, Forman EH (1992) The hierarchon: a dictionary of hierarchies. RWS Publications, Pittsburgh
Saaty TL (1994) Fundamentals of decision making and priority theory with the AHP. RWS Publications, Pittsburgh
Saaty TL, Vargas L (2000) Models, methods, concepts and applications of the analytic hierarchy process. Kluwer, Boston
Saaty L (2003) Decision-making with the AHP: why is the principal eigenvector necessary. Eur J Oper Res 145:85–91
Saaty TL (2004) Decision making - the analytic hierarchy and network processes (AHP/ANP). J Syst Sci Syst Eng 13(1):1–34
Saaty TL (2008) Decision making with the analytic hierarchy process. Int J Serv Sci 1:83–98
Saaty TL (2008) Relative measurement and its generalization in decision making: why pairwise comparisons are central in mathematics for the measurement of intangible factors, the analytic hierarchy/network process. RAC SAM Rev R Acad Cien Serie A Mat 102(2), 251–318
Saaty TL (2008) Decision making for leaders: the analytic hierarchy process for decisions in a complex world. RWS Publications, Pittsburgh
Saaty TL (2010) Principia mathematica decernendi: mathematical principles of decision making. RWS Publications, Pittsburgh
Simon H (1960) The new science of management decision. Harper and Brothers, New York
Vaidya OS, Kumar S (2006) Analytic hierarchy process: an overview of applications. Eur J Oper Res 169(1):1–29
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Ramík, J. (2020). Applications in Decision-Making: Analytic Hierarchy Process—AHP Revisited. In: Pairwise Comparisons Method. Lecture Notes in Economics and Mathematical Systems, vol 690. Springer, Cham. https://doi.org/10.1007/978-3-030-39891-0_6
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DOI: https://doi.org/10.1007/978-3-030-39891-0_6
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