Abstract
Classical decision and measurement theories are founded on errors that have been propagated throughout the literature, leading to a proliferation of tools and methodologies based on flawed mathematical foundations. In this article, incorrect assumptions are addressed and appropriate principles and methodologies are identified.
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References
Arrow, K. J., 1951. Social Choice and Individual Values. Wiley, New York.
Artzy, R., 1965. Linear Geometry. Addison-Wesley, Reading, MA.
Barzilai, J., 2007. Game Theory Foundational Errors — Part I, Technical Report, Department of Industrial Engineering, Dalhousie University, pp. 1–2. Available at:http:// http://www.ScientificMetrics.com
Barzilai, J., 2007. Pairwise Comparisons, in Salkind, N. J., (Ed.), Encyclopedia of Measurement and Statistics. Sage Publications, Thousand Oaks, CA, vol. II, pp. 726–727.
Barzilai, J., 2006. On the Mathematical Modeling of Measurement, pp. 1–4. Available at:http://www.Scientificmetrics.com/publications.html
Barzilai, J., 2006. Preference Modeling in Engineering Design, in Lewis, K. E., Chen, W., and Schmidt, L. C. (Eds.), Decision Making in Engineering Design. ASME Press, pp. 43–47.
Barzilai, J., 2005. Measurement and Preference Function Modelling. International Transactions in Operational Research 12:173–183.
Barzilai, J., 2001. Notes on the Analytic Hierarchy Process. Proceedings of the NSF Design and Manufacturing Research Conference, Tampa, FL, pp. 1–6. Available at http://www.ScientificMetrics.com
Barzilai, J., 1998. On the Decomposition of Value Functions. Operations Research Letters 22(4–5):159–170.
Barzilai, J., 1998. Understanding Hierarchical Processes. Proceedings of the 19th Annual Meeting of the American Society for Engineering Management, pp. 1–6.
Barzilai, J., 1997. Deriving Weights from Pairwise Comparison Matrices. Journal of the Operational Research Society 48(12): 1226–1232.
Dyer, J. S., and Sarin, R. K., 1979. Measurable Multiattribute Value Functions. Operations Research 27(4):810–822.
Keeney, R. L., and Raiffa, H., 1976. Decisions with Multiple Objectives. Wiley, New York.
Kirkwood, C. W, 1996. Strategic Decision Making. Duxbury, Belmont, CA.
Krantz, D. H., Luce, R. D., Suppes, P., and Tversky, A., 1971. Foundations of Measurement, vol. 1. Academic, New York.
Miller, J. R., 1966. The Assessment of Worth: A Systematic Procedure and Its Experimental Validation, doctoral dissertation, Massachusetts Institute of Technology.
Miller, J. R., 1969. Assessing Alternate Transportation Systems, Memorandum RM-5865-DOT The RAND Corporation.
Miller, J. R., 1970. Professional Decision-Making. Praeger, New York.
von Neumann, J., and Morgenstern, O., 1944. Theory of Games and Economic Behavior. Princeton University Press, Princeton, NJ.
Postnikov, M., 1982. Analytic Geometry (Lectures in Geometry, Semester I). Mir Publishers, Moscow.
Roberts, F. S., 1979. Measurement Theory. Addison-Wesley, Reading, MA.
Tetra software and PFM publications. Available at:http://www.ScientificMetrics.com
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Barzilai, J. (2008). Avoiding MCDA Evaluation Pitfalls. In: Linkov, I., Ferguson, E., Magar, V.S. (eds) Real-Time and Deliberative Decision Making. NATO Science for Peace and Security Series C: Environmental Security. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9026-4_22
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DOI: https://doi.org/10.1007/978-1-4020-9026-4_22
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-9025-7
Online ISBN: 978-1-4020-9026-4
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