Possibilistic Aggregations in the Investment Decision Making
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33093
Possibilistic Aggregations in the Investment Decision Making

Authors: I. Khutsishvili, G. Sirbiladze, B. Ghvaberidze

Abstract:

This work proposes a fuzzy methodology to support the investment decisions. While choosing among competitive investment projects, the methodology makes ranking of projects using the new aggregation OWA operator – AsPOWA, presented in the environment of possibility uncertainty. For numerical evaluation of the weighting vector associated with the AsPOWA operator the mathematical programming problem is constructed. On the basis of the AsPOWA operator the projects’ group ranking maximum criteria is constructed. The methodology also allows making the most profitable investments into several of the project using the method developed by the authors for discrete possibilistic bicriteria problems. The article provides an example of the investment decision-making that explains the work of the proposed methodology.

Keywords: Expert evaluations, investment decision making, OWA operator, possibility uncertainty.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1096435

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2025

References:


[1] R. E. Bellman and L. A. Zadeh, "Decision-Making in a Fuzzy Environment”, Management Science, 17(4), 1970, B-141-B-164.
[2] D. Dubois and H. Prade, Possibility Theory: An Approach to Computerized Processing of Uncertainty. New-York: Plenum Press, 1988.
[3] M. Ehrgott, Multicriteria optimization, 2nd ed. Berlin Heidelberg: Springer, 2005.
[4] A.Taha Hamdy, Operations Research: An Introduction, (9th Edition). Upper Saddle River, N.J.: Pearson/Prentice Hall, 2011.
[5] G. J. Klir and M. J. Wierman, Uncertainty-Based Information. Elements of Generalized Information Theory. Second edition. Studies in Fuzziness and Soft Computing, Physica-Verlag, Heidelberg, 1999.
[6] I. Khutsishvili, "The Combined Decision Making Technology based on the Statistical and Fuzzy Analysis and its Application in Forecast’s Modeling”, WSEAS Transactions on Systems, 8(7), 2009, 891-901.
[7] I. Khutsishvili and G. Sirbiladze, "Decision Support’s Precising Technology in the Investment Project Risk Management”, In Proceedings of the 11th WSEAS International Conference on Automatic Control, Modelling and Simulation (ACMOS ‘09), Istanbul, Turkey, 2009, 303-311.
[8] B. Liu, "Toward fuzzy optimization without mathematical ambiquity”, Fuzzy Optimization and Decision Making, 1(1), 2002, 43-63.
[9] J. M. Merigó, "Probabilities in the OWA operator”, Expert Systems with Applications, 39, 2012, 11456-11467.
[10] J. M, Merigó, "Fuzzy Multi-Person Decision Making with Fuzzy Probabilistic Aggregation Operators”, Int. Journal of Fuzzy Systems, 13, 2011,163-174.
[11] J. M. Merigó, "Probabilistic Decision Making with the OWA Operator and its Application in Investment Management”, In Proceedings of the Conference European Society for Fuzzy Logic and Technology – EUSFLAT, Lisbon, Portugal, 2009, 1364-1369.
[12] D. Ruan, J. Kacprzyk and M. Fedrizzi, Soft Computing for Risk Evaluation and Management: Applications in Technology, Environmenf and Finance. Studies in Fuzziness and Soft Computing. Heidelberg, New York: Physica-Verlag, 2001.
[13] G. Sirbiladze, A. Sikharulidze and G. Korakhashvili, "Decision-making Aiding Fuzzy Informational Systems in Investments. Part I – Discrimination Analysis in Investment Projects”, Proceedings of Iv.Javakhishvili Tbilisi State University. Applied Mathematics and Computer Sciences, 353 (22-23), 2003, 77-94.
[14] G. Sirbiladze and T. Gachechiladze, "Restored fuzzy measures in expert decision-making”, Information Sciences, 169 (1/2), 2005, 71-95.
[15] G. Sirbiladze and A. Sikharulidze, "Weighted Fuzzy Averages in Fuzzy Environment, Parts I, II”, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 11(2), 2003, 139-157, 159- 172.
[16] Sirbiladze, G., Ghvaberidze, B., Latsabidze, T., and Matsaberidze, B., Using a minimal fuzzy covering in decision-making problems. Information Sciences, 179 (12), 2009, 2022-2027.
[17] G. Sirbiladze, I. Khutsisvili and P. Dvalishvili, "Decision Precising Fuzzy Technology to Evaluate the Credit Risks of Investment Projects”, IEEE 10-th International Conference on Intelligent Systems Desigh and Applications (ISDA 2010), Cairo, Egypt, 2010, 103-108.
[18] G.Sirbiladze, I. Khutsishvili and B. Ghvaberidze, "Multistage decisionmaking fuzzy methodology for optimal investments based on experts’ evaluations”, European Journal of Operational Research, 232(1), 2014, 169–177.
[19] G. Sirbiladze, A. Sikharulidze, B. Ghvaberidze and B. Matsaberidze, "Fuzzy-probabilistic Aggregations in the Discrete Covering Problem”, International Journal of General Systems, 40: 2, 2011, 169 -196.
[20] G. Sirbiladze, Extremal Fuzzy Dynamic Systems: Theory and Applications, IFSR International Series on Systems Science and Engineering, Vol. 28, 1st Edition. 2013, Springer, 396p.
[21] V. Torra, "The weighted OWA operator”, Int. Journal of Intelligent Systems, 12, 1997, 153-166.
[22] D. Wu, Y. Zhang, D. Wu and D. L. Olson, "Fuzzy multi-objective programming for supplier selection and risk modeling: A possibility approach”, European Journal of Operational Research, 200(3), 2010, 774-787.
[23] R. R. Yager, "On Ordered Weighted Averaging aggregation operators in multicriteria decision making”, IEEE Trans. On Systems, Man and Cybernetics B, 18, 1988, 183-190.
[24] R. R. Yager, "On the Evalution of Uncertain Courses of Action”, Fuzzy Optimization and Decision Making, 1(1), 2002, 13-41.
[25] R. R. Yager, J. Kacprzyk and G. Beliakov, Recent Development in the ordered Weighted Averaging Operations: Theory and Practice. Studies in Fuzziness and Soft Computing, 265, 2011, Berlin: Springer-Verlag.
[26] R.R. Yager, "Level sets for membership evaluation of fuzzy subsets”. In: Fuzzy Sets and Possibility Theory: Recent Developments (R.R. Yager, ed.), Pergamon Press, Oxford, 1982, 90-97.