Abstract
A modification of well known Aggregated Indices Method (AIM) is developed for complex multi-attribute objects preference (quality) evaluation under deficiency of numerical information. The modification is based on so called ”double randomization” of weight coefficients, which are measuring the objects characteristics significance. The so modified AIM is named AIRM (Aggregated Indices Randomization Method). The AIRM may work with non-numeric (ordinal), and imprecise (interval) expert information. A case of Russian blue chips preference estimation under uncertainty demonstrates AIRMs applicability to investment portfolio formation.
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References
Afgan, N.H., Carvalho, M.G., Hovanov, N.V.: Multi-criteria sustainability assessment of clean air technologies. Transaction of FAMENA 26, 1–14 (2002)
Afgan, N.H., Carvalho, M.G., Hovanov, N.V.: Modeling of energy system sustainability index. Thermal Science 9(2), 3–15 (2005)
Bayes, T.: An essay towards solving a problem in the doctrine of chances. Biometrika 45, 296–315 (1958) (reprinted from Philos.Trans., 1763)
Corchado, E., Wozniak, M., Abraham, A., de Carvalho, A., Snase, V.: Recent trends in intelligent data analysis. Neurocomputing 126, 1–2 (2014)
Ehrgott, M., Figueira, J., Greco, S. (eds.): Trends in Multiple Criteria Decision Analysis. Springer, Heidelberg (2010)
Figueira, J., Greco, S., Ehrgott, M. (eds.): Multiple Criteria Decision Analysis: State of the Art Surveys, 2nd edn. Springer-Science, Boston (2005)
Gormley, I.C., Murphy, T.B.: Mixture of Experts Modelling with Social Science Applications. In: Mengersen, K.L., Robert, C.P., Titterington, D.M. (eds.) Mixtures: Estimation and Applications, pp. 101–121. John Wiley & Sons, Ltd., Chichester (2011)
Hovanov, N.V.: Stochastic Models in Qualimetric Scales Theory. Leningrad State University Press, Leningrad (1986) (in Russian)
Hovanov, N., Fedotov, Y., Zakharov, V.: The making of index numbers under uncertainty. In: Pukh, Y., Hyatt, D., Lenz, R. (eds.) Environmental Indices: Systems Analysis Approach, pp. 83–99. EOLSS Publishers Co., Oxford (1999)
Hovanov, K.N., Hovanov, N.V.: Decision support system Analysis and Synthesis of Parameters under Information Deficiency (ASPID-3W). Certificate of the Computer Program Official Registration No. 960087, Moscow, Russian Federal Agency for Legal Safeguard of Computer Programs, Databases, and Integrated-circuit Layouts (March 22, 1996) (in Russian)
Hovanov, N., Kolari, J.: Estimating the overall financial performance of Mexican banks using a new method for quantifying subjective information. The Journal of Financial Engineering 7(1), 59–77 (1998)
Hovanov, N., Kornikov, V., Seregin, I.: Randomized synthesis of fuzzy sets as a technique for multi-criteria decision making under uncertainty. In: Proceedings of the International Conference Fuzzy Logic and Applications, Zichron Yaakov (Israel), May 18-21, pp. 281–288. IEEE, Zichron Yaakov (1997)
Hovanov, N., Kornikov, V., Tokin, I.: A mathematical methods system of decision making for developmental strategy under uncertainty. In: Singh, R. (ed.) Global Environmental Change, pp. 93–96. Oxford & IBH Publ. Co., New Delhi (1995)
Hovanov, N.V., Yudaeva, M.S., Kotov, N.V.: Alternatives probabilities estimation by means of non-numeric, non-exact and non-complete information obtained from sources of different reliability. In: Proceedings of the International Scientific School Modeling and Analysis of Safety and Risk in Complex Systems, pp. 271–277. St. Petersburg (Russia), RAS (2005)
Hovanov, N.V., Yudaeva, M.S., Kotov, N.V.: Event-Tree with randomized transition probabilities as a new tool for alternatives probabilities estimation under uncertainty. In: Proceedings of the Sixth International Scientific School Modeling and Analysis of Safety and Risk in Complex Systems, July 4-8, pp. 118–125. St. Petersburg, SPb., RAS (2006)
Hovanov, N., Yudaeva, M.: Using of non-numeric, non-exact and non-complete information for alternatives probabilities estimation. In: Proceedings of the XVI international conference Dynamics, Economic Growth and International Trade (DEGIT 2011), September 8-9. St. Petersburg (Russia) (2011)
Hovanov, N., Yudaeva, M., Hovanov, K.: Multicriteria estimation of probabilities on basis of expert non-numeric, non-exact and non-complete knowledge. European Journal of Operational Research 195, 857–863 (2009)
Kahneman, D.: Thinking, Fast and Slow. Farrar, Straus and Giroux, New York (2011)
Korhonen, P.J., Silvennoinen, K., Wallenius, J., Oorni, A.: Can a linear value function explain choices? An experimental study. European Journal of Operational Research 219(2), 360–367 (2012)
Xu, L., Amari, S.-I.: Combining Classifiers and Learning Mixture-of-Experts. In: Dopico, R., Ramón, J., Dorado, J., Pazos, A. (eds.) Encyclopedia of Artificial Intelligence (3 Volumes), pp. 318–326. IGI Global, Hershey (2009)
Merigo, J.M., Casanovas, M., Jian-Bo, Y.: Group decision making with expertons and uncertain generalized probabilistic weighted aggregation operators. European Journal of Operational Research 235(1), 215–224 (2014)
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Maria, Y., Nikolai, H., Dmitrii, K. (2014). Double Randomized Estimation of Russian Blue Chips Based on Imprecise Information. In: de la Puerta, J., et al. International Joint Conference SOCO’14-CISIS’14-ICEUTE’14. Advances in Intelligent Systems and Computing, vol 299. Springer, Cham. https://doi.org/10.1007/978-3-319-07995-0_16
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DOI: https://doi.org/10.1007/978-3-319-07995-0_16
Publisher Name: Springer, Cham
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