Abstract
This paper contains a first attempt to axiomatize the Analytic Hierarchy Process. The set of axioms corresponding to hierarchic structures are a special case of axioms dealing with the general case of systems with feedback which are under study. The axioms given here are followed by theorems, several of which have already appeared in the literature.
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References
Hardy, G.H. (1949) Divergent Series, London/New York: Oxford University Press.
Saaty, T.L. (1982) The Analytic Hierarchy Process/New York: McGraw-Hill.
Saaty, T.L. and L.G. Vargas (1984) “Inconsistency and Rank Preservation, Journal of Mathematical Psychology, Vol. 28, No. 2, pp. 205–214.
Wilkinson, J.H. (1965) The Algebraic Eigenvalue Problem, Oxford: Clarendon Press.
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© 1985 Springer-Verlag Berlin Heidelberg
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Saaty, T.L. (1985). Axiomatization of the Analytic Hierarchy Process. In: Haimes, Y.Y., Chankong, V. (eds) Decision Making with Multiple Objectives. Lecture Notes in Economics and Mathematical Systems, vol 242. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46536-9_4
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DOI: https://doi.org/10.1007/978-3-642-46536-9_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15223-1
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