Stock portfolio selection using a new decision-making approach based on the integration of fuzzy CoCoSo with Heronian mean operator
DOI:
https://doi.org/10.31181/dmame0310022022nKeywords:
Multi-criteria decision-making (MCDM), Heronian mean (HM), Combined compromise solution (CoCoSo), PSO, Portfolio analysis.Abstract
The main objective of stock portfolio selection is to distribute capital to selected stocks to get the most profitable returns at a lower risk. The performance of a stock depends on a number of criteria based on the risk-return measures. Therefore, the selection of shares is subject to fulfilling a number of criteria. In this paper, we have adopted an integrated approach based on the two-stage framework. First, the Heronian mean operator (improved generalized weighted Heronian mean an improved generalized geometric weighted Heronian mean) is combined with the traditional Combined compromise solution (CoCoSo) method to present a new decision-making model for dealing with stock selection problems. Second, the Base-criterion method is used to calculate the relative optimal weights of the specified decision criteria. Despite the uncertainties, the advanced CoCoSo-H model eliminates the efficacy of anomalous data and makes complex decisions more flexible. A case study of stock selection for the portfolio under the National stock exchange (NSE) is discussed to validate the applicability of the proposed model. Different portfolios have been constructed using Particle swarm optimization (PSO). The outcome shows the prominence and stability of the proposed model when compared to previous studies.
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Abdelaziz, F.B., Aouni, B., & Fayedh, R.E. (2007). Multi-objective stochastic programming for portfolio selection. European Journal of Operational Research, 177(3), 1811–1823.
Ammar, E., & Khalifa, H.A. (2003). Fuzzy portfolio optimization a quadratic programming approach. Chaos, Solitons & Fractals, 18(5), 1045–1054.
Aouni, B., Abdelaziz, F.B., & Martel, J.M. (2005). “Decision-maker’s preferences modeling in the stochastic goal programming”. European Journal of Operational Research, 162(3), 610–618.
Ballestero, E. (2001). Stochastic goal programming: a mean-variance approach. European Journal of Operational Research, 131(3), 476–481.
Banker, R.D., Charnes, A., & Cooper, W.W. (1984). Some models for estimating technical and scale in efficiencies in data envelopment analysis. Management Science, 30(9), 1078-1092.
Beliakov, G., Pradera, A., & Calvo, T. (2007). Aggregation functions: a guide for practitioners. Springer, Berlin. (Chapter 7)
Benayoun, R., Roy, B., & Sussman, N. (1996). Manual de, du programme ELECTRE. Note Synth. Form. 25.
Bhattacharya, R., Hossain, S.A., & Kar, S. (2014). Fuzzy cross-entropy, mean, variance, skewness models for portfolio selection. Journal of king Saud university. Computer and information sciences, 26(1), 79-87.
Boonjing, V., & Boongasame, L. (2017). Combinatorial portfolio selection with the ELECTRE III method: case study of the stock exchange of Thailand. Asian Journal of Finance and Accounting, 7(4), 351-362.
Božanić, D., Milić, A., Tešić, D., Salabun, W., & Pamučar, D. (2021). D numbers–FUCOM–fuzzy RAFSI model for selecting the group of construction machines for enabling mobility. Facta Universitatis, Series: Mechanical Engineering, 19(3), 447-471.
Charnes, A., Cooper, W.W., & Rhodes, E. (1978). Measuring the efficiency of decision-making units, European Journal of Operational Research, 2(6), 429-444.
Chen, C.T., Hung, & W.Z. (2009). A New Decision-Making Method for Stock Portfolio Selection Based on Computing with Linguistic Assessment. Journal of Applied Mathematics and Decision Sciences, 1-20.
Dedania, H.V., Shah, V.R., & Sanghvi, R.C. (2015). Portfolio Management: Stock Ranking by Multiple Attribute Decision Making Methods. Technology and Investment, 6(4), 141-150.
Detyniekie, M. (2001). Fundamentals on aggregation operators. (Chapter 2).
Deveci, M., Pamucar, D., & Gokasar, I. (2021). Fuzzy Power Heronian function based CoCoSo method for the advantage prioritization of autonomous vehicles in real-time traffic management. Sustainable Cities and Society, 69, 102846.
Dincer, H. (2015). Profit-based stock selection approach in banking sector using Fuzzy AHP and MOORA method. Global Business and Economics Research Journal, 4(2), 1-26.
Durmic, E., Stevic, Z., Chatterjee, P., Vasiljevic, M., & Tomasevic, M. (2020). Sustainable supplier selection using combined FUCOM – Rough SAW model. Reports in Mechanical Engineering. 1(1), 33-43.
Edirisinghe, N.C.P., & Zhang, X. (2008). Portfolio selection under DEA-based relative financial strength indicators: Case of US industries. Journal of the Operational Research Society, 59(6), 842-856.
Fazli, S., & Jafar, H. (2012). Developing a hybrid multi-criteria model for investment in stock exchange. Management science letters, 2(2), 457-468.
Fontela, E., & Gabus, A. (1972). World Problems, An Invitation to Further Thought within The Framework of DEMATEL. Battelle Geneva Research Centre, Switzerland.
Galankashi, M.R, Rafiei, F.M., & Ghezelbash, M. (2020). Portfolio selection: a fuzzy-ANP approach. Financial Innovation, 6(1), 17.
Gorcun, O.F., Senthil, S., & Kucukonder, H. (2021). Evaluation of tanker vehicle selection using a novel hybrid fuzzy MCDM technique. Decision Making: Applications in Management and Engineering. 4(2), 140-162.
Grossman, S. J., & Stiglitz, J. E. (1980). On the impossibility of informationally efficient markets. The American economic review, 70(3), 393-408.
Gupta, S., Bandyopadhyay, G., Bhattacharjee, M., & Biswas, S. (2019). Portfolio Selection using DEA-COPRAS at risk–return interface based on NSE (India). International Journal of Innovative Technology and Exploring Engineering (IJITEE), 8(10), 4078-4086.
Gupta, S., Mathew, M., Gupta, S., & Dawar, V. (2021). Benchmarking the private sector banks in India using MCDM approach. Journal of Public Affairs, 21(2), e2409.
Haseli, G., Sheikh, R., & Sana, S. S. (2020). Extension of base-criterion method based on fuzzy set theory. International Journal of Applied and Computational Mathematics, 6, 1-24.
Haseli, G., Sheikh, R., & Sana, S.S. (2019). Base-criteria on multi-criteria decision-making method and its applications. International journal of management science and engineering management, 15(2), 79-88.
Hota, H.S., Awasthi, V.K., & Singhai, S.K. (2015). AHP Method Applied for Portfolio Ranking of Various Indices and Its Year Wise Comparison. International Journal of Research Studies in Computer Science and Engineering (IJRSCSE), 53-57.
Huang, X. (2008). Portfolio selection with a new definition of risk. European Journal of Operational Research, 186(1), 351–357.
Hurson, C.H., & Zopounidis, C. (1995). On the use of multicriteria decision aid methods to portfolio selection. Journal of Euro Asian Manage, 1(2), 69–94.
Hwang, C.L., & Yoon, k. (1981). Multiple attribute decision making, methods and applications. Springer, New York. (Chapter 6)
Kennedy, J., & Eberhart, R. (1995). Particle swarm optimization. In Proceedings of ICNN'95-international conference on neural networks (Vol. 4, pp. 1942-1948). IEEE.
Krishna, S., Niyas, K., Arun, P., & Kumar, R. (2018). Model for choosing best stock among a set of stocks in stock market. International Journal of Advances in Science Engineering and Technology, 6(1), 39-47.
Lintner, J. (1965a). The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets. Review of Economics and Statistics, 47 (1), 13–37.
Lintner, J. (1965b). Security Prices, Risk and Maximal Gains from Diversification. Journal of Finance, 20(4), 587–615.
Liu, P., & Zhang, L. (2017). Multiple criteria decision making method based on neutrosophic hesitant fuzzy Heronian mean aggregation operators. Journal of Intelligent & Fuzzy Systems, 32(1), 303-319.
Mansouri, A., Naser, E., & Ramazani, M. (2014). Ranking of companies based on TOPSIS-DEA approach methods (case study of cement industry in Tehran stock exchange). Pakistan Journal of Statistics and Operation Research, 10(2).
Markowitz, H. (1952). Portfolio selection, Journal of Finance, 7(1), 77–91.
Mills, E. F. E. A., Baafi, M. A., Amowine, N., & Zeng, K. (2020). A hybrid grey MCDM approach for asset allocation: evidence from China’s Shanghai Stock Exchange. Journal of Business Economics and Management, 21(2), 446-472.
Narang, M., Joshi, M.C., & Pal, A.K. (2021). A hybrid Fuzzy COPRAS-Base-Criterion Method for Multi-criteria Decision Making. Soft Computing. 25(13), 8391-8399.
Nourianfar, K., & Montazer, G. A. (2013). A fuzzy MCDM approach based on COPRAS method to solve supplier selection problems. In The 5th Conference on Information and Knowledge Technology (pp. 231-235). IEEE.
Pamucar, D., & Savin, L.M. (2020). Multiple-criteria model for optimal off-road vehicle selection for passenger transportation: BWM-COPRAS model. Military Technical Courier. 68(1), 28-64.
Pamucar, D., Stevic, Z., & Sremac, S. (2018). A New Model for Determining Weight Coefficients of Criteria in MCDM Models: Full Consistency Method (FUCOM). Symmetry. 10, 393.
Pamucar, D., Žižović, M., Biswas, S., & Božanić, D. (2021). A new logarithm methodology of additive weights (LMAW) for multi-criteria decision-making: Application in logistics. Facta Universitatis, Series: Mechanical Engineering. 19(3), 361-380.
Peng, X., Zhang, X., & Luo, Z. (2020). Pythagorean fuzzy MCDM method based on CoCoSo and CRITIC with score function for 5G industry evaluation. Artificial Intelligence Review, 53(5), 3813-3847.
Poklepović, T., & Babić, Z. (2014). Stock selection using a hybrid MCDM approach. Croatian. Operational Research Review, 5, 273-290.
Rahmani, A., Hosseinzadeh Lotfi, F., Rostamy-Malkhalifeh, M., & Allahviranloo, T. (2016). A new method for defuzzification and ranking of fuzzy numbers based on the statistical beta distribution. Advances in Fuzzy Systems, 2016.
Rezaei, J. (2015). Best-worst multi-criteria decision-making method. Omega, 53, 49-57.
Saaty, T.L. (1980). The Analytic Hierarchy Process Mcgraw Hill, New York. Agricultural Economics Review, 70, 34.
Satty, T.L. (1996). Decision making with dependence and feedback: The analytic network process. RWS Publication. (Chapter 2).
Savitha, M.T., & George, M. (2017). New Methods for Ranking of Trapezoidal Fuzzy Numbers. Advances in Fuzzy Mathematics, 12(5), 1159-1170.
Sharpe, W.F. (1964). Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk. Journal of finance, 19(3), 425–442.
Sykora, S. (2009). Mathematical means and averages: Generalized Heronian means. Stan’s Library: Castano Primo, Italy. https://doi.org/10.3247/SL3Math09.002
Sykora, S. (2009b). Generalized Heronian means II. Stan’s Library: Castano Primo, Italy. https://doi.org/ 10.3247/SL3Math09.002
Thakur, G.S.M., Bhattacharyya, R., & Sarkar, S. (2018). Stock portfolio selection using Dempster–Shafer evidence theory. Journal of king Saud university. Computer and Information Sciences, 30 (2), 223-235.
Tiryaki, F., & Ahlatcioglu, M. (2005). Fuzzy stock selection using a new fuzzy ranking and weighting algorithm. Applied Mathematics and Computation, 170(1), 144–157.
Treynor, J. L. (2015). Toward a Theory of Market Value of Risky Assets. Treynore on Institutional Investing, 49-59.
Wen, Z., Liao, H., Kazimieras Zavadskas, E., & Al-Barakati, A. (2019). Selection third-party logistics service providers in supply chain finance by a hesitant fuzzy linguistic combined compromise solution method. Economic research - Ekonomska istraživanja, 32(1), 4033-4058.
Xidonas, P., Mavrotas, G., & Psarras, J. (2010). Equity portfolio construction and selection using multi-objective mathematical programming. Journal of Global Optimization, 47, 185-209.
Yazdani, M., Wen, Z., Liao, H., Banaitis, A., & Turskis, Z. (2019). A Grey Combined Compromise Solution (COCOSO-G) method for supplier selection in construction management. Journal of Civil Engineering and Management, 25(8), 858-874.
Yazdani, M., Zarate, P., Kazimieras Zavadskas, E., & Turskis, Z. (2019). A combined compromise solution (CoCoSo) method for multi-criteria decision-making problems. Management Decision, 57(9), 2501-2519.
Zadeh, L.A. (1965). Fuzzy sets. Information Controal, 8(3), 338-353.
Zavadskas, E.K. (1994). "The new method of multicriteria complex proportional assessment of projects," Technological and Economic Development of Economy. 131-139.
Zavadskas, E.K., Kaklauskas, A. & Kvederytė, N. (2001). Multivariant design and multiple criteria analysis of building life cycle. Informatica. 12(1), 169–188.
Zeleny, M., & Cochrane, J.L. (1973). Multiple-criteria decision making. University of South Carolina Press.
Zopounidis, C., & Doumpos, M. (2013). Multicriteria decision systems for financial problems. Top, 21, 241-261.
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