Portfolio selection: a fuzzy-ANP approach

This study developed specific criteria and a fuzzy analytic network process (FANP) to assess and select portfolios on the Tehran Stock Exchange (TSE). Although the portfolio selection problem has been widely investigated, most studies have focused on income and risk as the main decision-making criteria. However, there are many other important criteria that have been neglected. To fill this gap, first, a literature review was conducted to determine the main criteria for portfolio selection, and a Likert-type questionnaire was then used to finalize a list of criteria. Second, the finalized criteria were applied in an FANP to rank 10 different TSE portfolios. The results indicated that profitability, growth, market, and risk are the most important criteria for portfolio selection. Additionally, portfolios 6, 7, 2, 4, 8, 1, 5, 3, 9, and 10 (A6, A7, A2, A4, A8, A1, A5, A3, A9, and A10) were found to be the best choices. Implications and directions for future research are discussed.

[1]  Rupak Bhattacharyya,et al.  Stock portfolio selection using Dempster-Shafer evidence theory , 2016, J. King Saud Univ. Comput. Inf. Sci..

[2]  Veera Boonjing,et al.  AnELECTRE IIIBasedCBRApproach to Combinatorial Portfolio Selection , 2019, Asia-Pacific Journal of Financial Studies.

[3]  Bin Li,et al.  Moving average reversion strategy for on-line portfolio selection , 2015, Artif. Intell..

[4]  Rodrigo T. N. Cardoso,et al.  Decision-making for financial trading: A fusion approach of machine learning and portfolio selection , 2019, Expert Syst. Appl..

[5]  Thomas O. Boucher,et al.  Strong transitivity, rationality and weak monotonicity in fuzzy pairwise comparisons , 1998, Fuzzy Sets Syst..

[6]  Jiahan Li Sparse and Stable Portfolio Selection With Parameter Uncertainty , 2014 .

[7]  Matteo Marsili,et al.  LIQUIDITY RISK AND INSTABILITIES IN PORTFOLIO OPTIMIZATION , 2016 .

[8]  John R. McNamara,et al.  Portfolio Selection Using Stochastic Dominance Criteria , 1998 .

[9]  Fischer Black,et al.  How to Use Security Analysis to Improve Portfolio Selection , 1973 .

[10]  Andrew E. B. Lim,et al.  Mean-Variance Portfolio Selection with Random Parameters in a Complete Market , 2002, Math. Oper. Res..

[11]  Amir Abbas Najafi,et al.  An efficient heuristic method for dynamic portfolio selection problem under transaction costs and uncertain conditions , 2016 .

[12]  Mukesh Kumar Mehlawat,et al.  Credibilistic mean-entropy models for multi-period portfolio selection with multi-choice aspiration levels , 2016, Inf. Sci..

[13]  Rubén Saborido,et al.  Evolutionary multi-objective optimization algorithms for fuzzy portfolio selection , 2016, Appl. Soft Comput..

[14]  A. Uludağ,et al.  Applicability of Fuzzy TOPSIS Method in Optimal Portfolio Selection and an Application in BIST , 2017 .

[15]  S. Mohapatra,et al.  Momentum returns: A portfolio-based empirical study to establish evidence, factors and profitability in Indian stock market , 2020 .

[16]  O. Korn,et al.  Forward-Looking Measures of Higher-Order Dependencies with an Application to Portfolio Selection , 2015 .

[17]  D. Mihail,et al.  Criteria Determining Optimal Portfolio Selection: A Case Study , 2013 .

[18]  Donald Flagg,et al.  Selecting stocks and building portfolios: a sorting exercise , 2011 .

[19]  R. P. Mohanty,et al.  A fuzzy ANP-based approach to R&D project selection: A case study , 2005 .

[20]  Yi Peng,et al.  Evaluation of clustering algorithms for financial risk analysis using MCDM methods , 2014, Inf. Sci..

[21]  Mean-Variance Analysis in a Finite World , 1972 .

[22]  Bo Wang,et al.  A Multi-Objective Portfolio Selection Model With Fuzzy Value-at-Risk Ratio , 2018, IEEE Transactions on Fuzzy Systems.

[23]  Chien-Feng Huang,et al.  A hybrid stock selection model using genetic algorithms and support vector regression , 2012, Appl. Soft Comput..

[24]  I. Moon,et al.  Strategies for Process and Size Selection of Natural Gas Liquefaction Processes: Specific Profit Portfolio Approach by Economic Based Optimization , 2017 .

[25]  Zhixuan Gao Stock Investment Selection Management Based on Bayesian Method , 2019, Proceedings of the 2018 8th International Conference on Education and Management (ICEM 2018).

[26]  Clara Calvo,et al.  Fuzzy portfolio selection with non-financial goals: exploring the efficient frontier , 2016, Ann. Oper. Res..

[27]  Karthika Varma,et al.  Criteria Analysis Aiding Portfolio Selection Using Dematel , 2012 .

[28]  I. Chaudhry,et al.  FACTORS AFFECTING PORTFOLIO INVESTMENT IN PAKISTAN: EVIDENCE FROM TIME SERIES ANALYSIS , 2015 .

[29]  Jitka Hilliard,et al.  Size and price-to-book effects: Evidence from the Chinese stock markets , 2015 .

[30]  Gang Kou,et al.  Evaluation of feature selection methods for text classification with small datasets using multiple criteria decision-making methods , 2020, Appl. Soft Comput..

[31]  Yue Qi,et al.  Portfolio Selection in the Presence of Multiple Criteria , 2008 .

[32]  Vyacheslav V. Kalashnikov,et al.  Bi-objective project portfolio selection in Lean Six Sigma , 2017 .

[33]  Sarat Chandra Nayak,et al.  Estimating stock closing indices using a GA-weighted condensed polynomial neural network , 2018, Financial Innovation.

[34]  Hyeng Keun Koo,et al.  Consumption and Portfolio Selection with Labor Income: A Continuous Time Approach , 1998 .

[35]  J. Tobin Liquidity Preference as Behavior towards Risk , 1958 .

[36]  Steven C. Gold,et al.  Computerized stock screening rules for portfolio selection , 1999 .

[37]  Purushottam Kar,et al.  Ranking of Stocks Using a Hybrid DS-Fuzzy System: An Application to Bombay Stock Exchange , 2016 .

[38]  H. Levy,et al.  International Diversification of Investment Portfolios , 1970 .

[39]  Duan Li,et al.  Dynamic Mean-Risk Portfolio Selection with Multiple Risk Measures in Continuous-Time , 2014, Eur. J. Oper. Res..

[40]  Abdelwaheb Rebai,et al.  Fuzzy chance-constrained goal programming model for multi-attribute financial portfolio selection , 2017 .

[41]  M. Feldstein The Effects of Taxation on Risk Taking , 1969, Journal of Political Economy.

[42]  Wei Yan,et al.  Multi-period semi-variance portfolio selection: Model and numerical solution , 2007, Appl. Math. Comput..

[43]  Xiaoxia Huang,et al.  Fuzzy chance-constrained portfolio selection , 2006, Appl. Math. Comput..

[44]  Hashem Omrani,et al.  An integrated multi-objective Markowitz-DEA cross-efficiency model with fuzzy returns for portfolio selection problem , 2016, Appl. Soft Comput..

[45]  Ralph E. Steuer,et al.  On the increasing importance of multiple criteria decision aid methods for portfolio selection , 2018, J. Oper. Res. Soc..

[46]  Dimitris Askounis,et al.  Common stock portfolio selection: a multiple criteria decision making methodology and an application to the Athens Stock Exchange , 2009, Oper. Res..

[47]  Mohammad Reza Mohammadi,et al.  Multi-period fuzzy mean-semi variance portfolio selection problem with transaction cost and minimum transaction lots using genetic algorithm , 2016 .

[48]  Tihana Škrinjarić,et al.  Using Grey Incidence Analysis Approach in Portfolio Selection , 2018, International Journal of Financial Studies.

[49]  Hao Di,et al.  Uncertain Portfolio Selection with Background Risk , 2014, 2014 International Conference on IT Convergence and Security (ICITCS).

[50]  Masahiro Inuiguchi,et al.  Possibilistic linear programming: a brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem , 2000, Fuzzy Sets Syst..

[51]  M. Best,et al.  Prospect theory and portfolio selection , 2016 .

[52]  Alexandre Street,et al.  Risk-averse portfolio selection of renewable electricity generator investments in Brazil: An optimised multi-market commercialisation strategy , 2016 .

[53]  B. Dehning,et al.  Portfolio Risk-Return Analysis: The Case of the Automotive Industry in the Czech Republic , 2017 .

[54]  P. Dhrymes,et al.  Returns, Risk, Portfolio Selection, and Evaluation , 2017 .

[55]  Mehdi R. Zargham,et al.  A Web-based information system for stock selection and evaluation , 1999, Proceedings of International Workshop on Advance Issues of E-Commerce and Web-Based Information Systems. (Cat. No.PR00334).

[56]  Aparna Mehra,et al.  Financial analysis based sectoral portfolio optimization under second order stochastic dominance , 2017, Ann. Oper. Res..

[57]  Seyed Mohammad Seyedhosseini,et al.  A novel hybrid algorithm based on a harmony search and artificial bee colony for solving a portfolio optimization problem using a mean-semi variance approach , 2016 .

[58]  Abolfazl Kazemi,et al.  A hybrid fuzzy decision making method for a portfolio selection: a case study of Tehran Stock Exchange , 2014 .

[59]  Sergio Gómez,et al.  Portfolio selection using neural networks , 2005, Comput. Oper. Res..

[60]  Fouad Ben Abdelaziz,et al.  Multi-objective stochastic programming for portfolio selection , 2007, Eur. J. Oper. Res..

[61]  Yong Zhang,et al.  Reversion strategy for online portfolio selection with transaction costs , 2018, Int. J. Appl. Decis. Sci..

[62]  Carla Barracchini,et al.  An Ethical Investments Evaluation for Portfolio Selection , 2004 .

[63]  Yves Crama,et al.  Simulated annealing for complex portfolio selection problems , 2003, Eur. J. Oper. Res..

[64]  Francesco Cesarone,et al.  Real-world datasets for portfolio selection and solutions of some stochastic dominance portfolio models , 2016, Data in brief.

[65]  Indrė Lapinskaitė,et al.  Strategy of Sustainable Development in Investment Portfolio Case , 2014 .

[66]  Yang Chen,et al.  Pairwise comparison matrix in multiple criteria decision making , 2016 .

[67]  Yi Peng,et al.  A Group Decision Making Model for Integrating Heterogeneous Information , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[68]  Lean Yu,et al.  Fuzzy multi-period portfolio selection with different investment horizons , 2016, Eur. J. Oper. Res..

[69]  John B. Guerard,et al.  Earnings forecasting in a global stock selection model and efficient portfolio construction and management , 2015, Handbook of Applied Investment Research.

[70]  Jiale Zhu Theoretical and Empirical Study on Risk Measurement Method Statistics and Portfolio Model , 2019 .

[71]  Massimiliano Kaucic,et al.  Portfolio optimization by improved NSGA-II and SPEA 2 based on different risk measures , 2019, Financial Innovation.

[72]  William J. Baumol,et al.  An Expected Gain-Confidence Limit Criterion for Portfolio Selection , 1963 .

[73]  Yu-Min Lian,et al.  Portfolio selection in a multi-asset, incomplete-market economy , 2019, The Quarterly Review of Economics and Finance.

[74]  Amelia Bilbao-Terol,et al.  Fuzzy compromise programming for portfolio selection , 2006, Appl. Math. Comput..

[75]  A. Hashemizadeh,et al.  Project portfolio selection for construction contractors by MCDM–GIS approach , 2019, International Journal of Environmental Science and Technology.

[76]  Mehrdad Tamiz,et al.  Goal programming with extended factors for portfolio selection , 2019, Int. Trans. Oper. Res..

[77]  Masoud Rahiminezhad Galankashi,et al.  Maintenance policy selection: a fuzzy-ANP approach , 2018 .

[78]  Seung Heon Han,et al.  Multicriteria Financial Portfolio Risk Management for International Projects , 2004 .

[79]  Nuno Horta,et al.  A hybrid approach to portfolio composition based on fundamental and technical indicators , 2015, Expert Syst. Appl..

[80]  Richard F. Hartl,et al.  Pareto Ant Colony Optimization: A Metaheuristic Approach to Multiobjective Portfolio Selection , 2004, Ann. Oper. Res..

[81]  Ralph E. Steuer,et al.  An analytical derivation of the efficient surface in portfolio selection with three criteria , 2017, Ann. Oper. Res..

[82]  José Roberto Securato,et al.  Análise de carteiras de valor no mercado brasileiro , 2018 .

[83]  Veera Boonjing,et al.  Combinatorial portfolio selection with the ELECTRE III method: Case study of the Stock Exchange of Thailand (SET) , 2016, 2016 Federated Conference on Computer Science and Information Systems (FedCSIS).

[84]  Wei Wu,et al.  The Impact of Model Risk on Dynamic Portfolio Selection Under Multi-Period Mean-Standard-Deviation Criterion , 2018, Eur. J. Oper. Res..

[85]  H. M. Kat,et al.  Fund of hedge funds portfolio selection: A multiple-objective approach , 2005 .

[86]  A. Shibata Effects of Taxation on Risk-Taking , 1969 .

[87]  Peijun Guo,et al.  Portfolio selection based on fuzzy probabilities and possibility distributions , 2000, Fuzzy Sets Syst..

[88]  Xun Li,et al.  Optimal stopping investment in a logarithmic utility-based portfolio selection problem , 2017 .

[89]  Jafar Razmi,et al.  An integrated approach for supplier portfolio selection: Lean or agile? , 2015, Expert Syst. Appl..

[90]  Christer Carlsson,et al.  A fuzzy approach to R&D project portfolio selection , 2007, Int. J. Approx. Reason..

[91]  Qingxian Xiao,et al.  Portfolio selection problem with liquidity constraints under non-extensive statistical mechanics , 2016 .

[92]  Daniel Reed Bergmann,et al.  Analysis of value portfolios in the Brazilian market , 2018, Revista Contabilidade & Finanças.

[93]  Fereidoun Ghasemzadeh,et al.  An integrated framework for project portfolio selection , 1999 .

[94]  Christian Stummer,et al.  Portfolio selection under strict uncertainty: A multi-criteria methodology and its application to the Frankfurt and Vienna Stock Exchanges , 2007, Eur. J. Oper. Res..

[95]  Federica Cucchiella,et al.  Investments and cleaner energy production: A portfolio analysis in the Italian electricity market , 2017 .

[96]  Zeshui Xu,et al.  Portfolio selection and risk investment under the hesitant fuzzy environment , 2017, Knowl. Based Syst..

[97]  Taegyu Jeong,et al.  Effectiveness of F-SCORE on the Loser Following Online Portfolio Strategy in the Korean Value Stocks Portfolio , 2019, American Journal of Theoretical and Applied Business.

[98]  Hurson Ch.,et al.  Structuring Portfolio Selection Criteria for Interactive Decision Support , 2002 .

[99]  Kin Keung Lai,et al.  A model for portfolio selection with order of expected returns , 2000, Comput. Oper. Res..

[100]  Yi Peng,et al.  Evaluation of Classification Algorithms Using MCDM and Rank Correlation , 2012, Int. J. Inf. Technol. Decis. Mak..

[101]  Αικατερίνη Ανδρεοπούλου,et al.  Have individual stocks become more volatile : an empirical exploration of idiosyncratic risk , 2010 .

[102]  J. Lintner THE VALUATION OF RISK ASSETS AND THE SELECTION OF RISKY INVESTMENTS IN STOCK PORTFOLIOS AND CAPITAL BUDGETS , 1965 .

[103]  Wei Zhang,et al.  Portfolio selection with the effect of systematic risk diversification: formulation and accelerated gradient algorithm , 2019, Optim. Methods Softw..

[104]  Joe Zhu,et al.  Use of DEA cross-efficiency evaluation in portfolio selection: An application to Korean stock market , 2014, Eur. J. Oper. Res..

[105]  Yi Peng,et al.  Soft consensus cost models for group decision making and economic interpretations , 2019, Eur. J. Oper. Res..

[106]  Michael L. Tindall,et al.  A statistical learning approach for stock selection in the Chinese stock market , 2019, Financial Innovation.

[107]  R. C. Merton,et al.  Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case , 1969 .

[108]  Yang Shen,et al.  Mean-variance portfolio selection in a complete market with unbounded random coefficients , 2015, Autom..

[109]  T. Saaty,et al.  Dependence and independence: From linear hierarchies to nonlinear networks , 1986 .

[110]  Giulio Di Gravio,et al.  Project selection in project portfolio management: An artificial neural network model based on critical success factors , 2015 .

[111]  D. Chang Applications of the extent analysis method on fuzzy AHP , 1996 .

[112]  Yi Peng,et al.  MACHINE LEARNING METHODS FOR SYSTEMIC RISK ANALYSIS IN FINANCIAL SECTORS , 2019, Technological and Economic Development of Economy.

[113]  Svetlozar T. Rachev,et al.  Fat-Tailed and Skewed Asset Return Distributions : Implications for Risk Management, Portfolio Selection, and Option Pricing , 2005 .

[114]  Constantin Zopounidis,et al.  On The Use Of Multicriteria Decision Aid Methods To Portfolio Selection , 1997 .

[115]  Olivier Ledoit,et al.  Improved estimation of the covariance matrix of stock returns with an application to portfolio selection , 2003 .

[116]  M. Lettau,et al.  Have Individual Stocks Become More Volatile? An Empirical Exploration of Idiosyncratic Risk , 2000 .

[117]  Stephen P. Boyd,et al.  Multi-period portfolio selection with drawdown control , 2018, Ann. Oper. Res..

[118]  Xinchao Zhao,et al.  Uncertain mean-variance model for dynamic project portfolio selection problem with divisibility , 2019, Fuzzy Optim. Decis. Mak..

[119]  Xiang Li,et al.  Mean-variance-skewness model for portfolio selection with fuzzy returns , 2010, Eur. J. Oper. Res..

[120]  Reza Raei,et al.  Portfolio optimization using a hybrid of fuzzy ANP, VIKOR and TOPSIS , 2012 .

[121]  Aazam Shabani Vezmelai,et al.  Portfolio selection using ELECTRE III: Evidence from Tehran Stock Exchange , 2015 .

[122]  Francisco J. Nogales,et al.  Portfolio Selection With Robust Estimation , 2007, Oper. Res..

[123]  Arun J. Prakash,et al.  Portfolio selection and skewness: Evidence from international stock markets , 1997 .

[124]  Frederik Ahlemann,et al.  Successful project portfolio management beyond project selection techniques: Understanding the role of structural alignment , 2015 .

[125]  D. Jeng,et al.  Strategic project portfolio selection for national research institutes , 2015 .

[126]  D. Zilberman,et al.  Economics of Agricultural Supply Chain Design: A Portfolio Selection Approach , 2016 .

[127]  K. Brown,et al.  Analysis of investments & management of portfolios , 2012 .

[128]  Madjid Tavana,et al.  A hybrid mathematical programming model for optimal project portfolio selection using fuzzy inference system and analytic hierarchy process. , 2019, Evaluation and program planning.

[129]  Bo Li,et al.  Multi-period portfolio selection problem under uncertain environment with bankruptcy constraint , 2018 .

[130]  K. Hamza,et al.  Efficient Simulation Method for Dynamic Portfolio Selection with Transaction Cost, Liquidity Cost and Market Impact , 2016 .

[131]  Shurong Li,et al.  A class of multi-period semi-variance portfolio selection with a four-factor futures price model , 2008 .

[132]  Ana Poledica,et al.  Interpolative Boolean Approach for Fuzzy Portfolio Selection , 2019, Applying Fuzzy Logic for the Digital Economy and Society.

[133]  J. Martel,et al.  A multi‐criterion approach for selecting attractive portfolio , 2002 .

[134]  N. Nicolosi,et al.  Feature Selection Methods for Text Classification , 2008 .

[135]  Yi Peng,et al.  BEHAVIOR MONITORING METHODS FOR TRADE-BASED MONEY LAUNDERING INTEGRATING MACRO AND MICRO PRUDENTIAL REGULATION: A CASE FROM CHINA , 2019, Technological and Economic Development of Economy.

[136]  Xiao Zhong,et al.  Predicting the daily return direction of the stock market using hybrid machine learning algorithms , 2019, Financial Innovation.

[137]  Surendra S. Yadav,et al.  A PCA-DEA framework for stock selection in Indian stock market , 2017 .

[138]  Muhammad Hanif,et al.  A multivariate regression-cum-exponential estimator for population variance vector in two phase sampling , 2017 .

[139]  Wlodzimierz Ogryczak,et al.  Multiple criteria linear programming model for portfolio selection , 2000, Ann. Oper. Res..

[140]  R. Faff,et al.  Enhancing Mean-Variance Portfolio Selection by Modeling Distributional Asymmetries , 2013 .

[141]  Weiguo Zhang,et al.  A fuzzy portfolio selection model with background risk , 2015, Appl. Math. Comput..

[142]  Junzo Watada,et al.  Multi-period portfolio selection with dynamic risk/expected-return level under fuzzy random uncertainty , 2017, Inf. Sci..

[143]  David Quintana,et al.  Robust technical trading strategies using GP for algorithmic portfolio selection , 2016, Expert Syst. Appl..

[144]  Weijun Xu,et al.  Fuzzy multi-period portfolio selection optimization models using multiple criteria , 2012, Autom..

[145]  Steven C. H. Hoi,et al.  Online portfolio selection: A survey , 2012, CSUR.

[146]  W. Sharpe A Simplified Model for Portfolio Analysis , 1963 .