An integrated approach for stock evaluation and portfolio optimization

Portfolio selection problems consist of two phases: stock evaluation and portfolio optimization. This article presents an integrated approach to solve these sub-problems. Stock evaluation problem includes vague parameters, and fuzzy set is a useful tool to cope with uncertainty caused by both the financial markets and the behaviour of the investors’ decisions. In the first phase, a fuzzy multi-criteria decision-making approach is proposed to evaluate 30 stocks taken from ISE30. Then, a multi-objective portfolio optimization model is presented in the second phase. Markowitz's mean-variance model is combined with the objective of the expected performance value of portfolio and cardinality constraints. This multi-objective real-life problem was solved by using the reservation level driven Tchebycheff procedure. Finally, the most preferred non-dominated solutions were determined by considering investors’ preferences.

[1]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[2]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[3]  V. Bowman On the Relationship of the Tchebycheff Norm and the Efficient Frontier of Multiple-Criteria Objectives , 1976 .

[4]  Andrzej P. Wierzbick Basic properties of scalarizmg functionals for multiobjective optimization , 1977 .

[5]  Andrzej P. Wierzbicki,et al.  The Use of Reference Objectives in Multiobjective Optimization , 1979 .

[6]  S. Chanas The use of parametric programming in fuzzy linear programming , 1983 .

[7]  Ralph E. Steuer,et al.  An interactive weighted Tchebycheff procedure for multiple objective programming , 1983, Math. Program..

[8]  W. Pedrycz,et al.  A fuzzy extension of Saaty's priority theory , 1983 .

[9]  Hirotaka Nakayama,et al.  Satisficing Trade-off Method for Multiobjective Programming , 1984 .

[10]  J. Buckley Ranking alternatives using fuzzy numbers , 1985 .

[11]  Pekka Korhonen,et al.  A Visual Interactive Method for Solving the Multiple-Criteria Problem , 1986 .

[12]  S. Deming Multiple-criteria optimization , 1991 .

[13]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[14]  Vassil Vassilev,et al.  A Reference Direction Algorithm for Solving Multiple Objective Integer Linear Programming Problems , 1993 .

[15]  Subhash C. Narula,et al.  An interactive procedure for multiple objective integer linear programming problems , 1993 .

[16]  K. Miettinen,et al.  Interactive bundle-based method for nondifferentiable multiobjeective optimization: nimbus § , 1995 .

[17]  Don-lin Mon,et al.  Evaluating weapon system using fuzzy analytic hierarchy process based on entropy weight , 1994, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[18]  Jaap Spronk,et al.  Financial modelling: Where to go? With an illustration for portfolio management , 1997 .

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

[20]  John Buchanan,et al.  A naïve approach for solving MCDM problems: the GUESS method , 1997 .

[21]  Constantin Zopounidis,et al.  Profilio Selection Using the Adelais Multiobjective Linear Programming System , 1998 .

[22]  Gary R. Reeves,et al.  Some experiments in Tchebycheff-based approaches for interactive multiple objective decision making , 1999, Comput. Oper. Res..

[23]  Andrzej Jaszkiewicz,et al.  The 'Light Beam Search' approach - an overview of methodology and applications , 1999, Eur. J. Oper. Res..

[24]  Zvi Drezner,et al.  Allocation of demand when cost is demand-dependent , 1999 .

[25]  J. Buckley,et al.  Fuzzy hierarchical analysis , 1999, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).

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

[27]  Yazid M. Sharaiha,et al.  Heuristics for cardinality constrained portfolio optimisation , 2000, Comput. Oper. Res..

[28]  João C. N. Clímaco,et al.  An interactive reference point approach for multiobjective mixed-integer programming using branch-and-bound , 2000, Eur. J. Oper. Res..

[29]  C. Zopounidis,et al.  Multi‐criteria decision aid in financial decision making: methodologies and literature review , 2002 .

[30]  Ralph E. Steuer,et al.  Multiple criteria decision making combined with finance: A categorized bibliographic study , 2003, Eur. J. Oper. Res..

[31]  M. Bohanec,et al.  The Analytic Hierarchy Process , 2004 .

[32]  Kathrin Klamroth,et al.  An MCDM approach to portfolio optimization , 2004, Eur. J. Oper. Res..

[33]  Gwo-Hshiung Tzeng,et al.  Fuzzy MCDM approach for planning and design tenders selection in public office buildings , 2004 .

[34]  Ralph E. Steuer,et al.  Multiple Objectives in Portfolio Selection , 2005 .

[35]  Mehmet Ahlatçioglu,et al.  Fuzzy stock selection using a new fuzzy ranking and weighting algorithm , 2005, Appl. Math. Comput..

[36]  G. Mitra,et al.  Mean-risk models using two risk measures: a multi-objective approach , 2007 .

[37]  Yue Qi,et al.  Suitable-portfolio investors, nondominated frontier sensitivity, and the effect of multiple objectives on standard portfolio selection , 2007, Ann. Oper. Res..

[38]  Maria Grazia Speranza,et al.  Conditional value at risk and related linear programming models for portfolio optimization , 2007, Ann. Oper. Res..

[39]  Ezgi Aktar Demirtaş,et al.  An integrated multiobjective decision making process for supplier selection and order allocation , 2008 .

[40]  Beyza Ahlatçioglu Ozkok,et al.  Fuzzy portfolio selection using fuzzy analytic hierarchy process , 2009, Inf. Sci..

[41]  Pavel V. Sevastjanov,et al.  Stock screening with use of multiple criteria decision making and optimization , 2009 .

[42]  John Psarras,et al.  Equity portfolio management within the MCDM frame: a literature review , 2009 .

[43]  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..

[44]  J. Psarras,et al.  Portfolio construction on the Athens Stock Exchange: a multiobjective optimization approach , 2010 .

[45]  Refail Kasimbeyli,et al.  Combined forecasts in portfolio optimization: A generalized approach , 2012, Comput. Oper. Res..

[46]  Safak Kiris,et al.  Fuzzy Mcdm Approach of Stocks Evaluation and Portfolio Selection , 2014 .