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A New Optimization Model for Project Portfolio Selection Under Interval-Valued Fuzzy Environment

  • Research Article - Systems Engineering
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Abstract

Selecting the right projects is the primary objective of project-oriented organizations. The main concern of this research is to propose a new optimizing model for project evaluation and project portfolio selection under interval-valued fuzzy (IVF) environment. Projects involvement in uncertainties and complexities is notable, and managers have to make decisions under uncertain environments. In order to assist top managers in project selection under these circumstances, investment capitals and net cash flows of the projects in this paper are presented as IVF numbers instead of crisp or classical fuzzy numbers. Using IVF sets enables the proposed model to consider uncertainty more practically which is achieved through addressing vagueness and lack of information intuitively. A new compound index that simultaneously takes risk and return into account is also presented. This approach illustrates both risk level and return level of project and then calculates the risk of unit return of project. Risk is measured by lower semi-variance of projects’ returns which is a direct, clear and widely accepted downside risk measure. The presented model is first proposed for project evaluation and comparison; then, it is extended for project portfolio selection problem. Finally, the proposed optimization model is exemplified by evaluating the candidate projects and selecting a portfolio of project in real case study of a holding company in developing countries. Moreover, a numerical example is presented to illustrate the capability of model in large-size problems.

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References

  1. Medaglia A.L., Graves S.B., Ringuest J.L.: A multiobjective evolutionary approach for linearly constrained project selection under uncertainty. Eur. J. Oper. Res. 179(3), 869–894 (2007)

    Article  MATH  Google Scholar 

  2. Mavrotas G., Diakoulaki D., Kourentzis A.: Selection among ranked projects under segmentation, policy and logical constraints. Eur. J. Oper. Res. 187(1), 177–192 (2008)

    Article  MATH  Google Scholar 

  3. Iamratanakul, S.; Patanakul, P.; Milosevic, D.: Project portfolio selection: from past to present. In: Proceedings of the 2008 IEEE ICMIT, pp. 287–292 (2008)

  4. Bard J.F., Balachandra R., Kaufmann P.E.: An interactive approach to R&D project selection and termination. IEEE Trans. Eng. Manag. 35(3), 139–146 (1988)

    Article  Google Scholar 

  5. Wang J., Xu Y., Li Z.: Research on project selection system of pre-evaluation of engineering design project bidding. Int. J. Project Manag. 27(6), 584–599 (2009)

    Article  Google Scholar 

  6. Martino J.P.: Research and development project selection. Wiley, New York (1995)

    Google Scholar 

  7. Ebrahimnejad S., Hosseinpour M.H., Nasrabadi A.M.: A fuzzy bi-objective mathematical model for optimum portfolio selection by considering inflation rate effects. Int. J. Adv. Manuf. Technol. 69(1-4), 595–616 (2013)

    Article  Google Scholar 

  8. Chiu C.Y., Park C.S.: Capital budgeting decisions with fuzzy projects. Eng. Econ. 43(2), 125–150 (1998)

    Article  Google Scholar 

  9. Chiadamrong N.: An integrated fuzzy multi-criteria decision making method for manufacturing strategies selection. Comput. Ind. Eng. 37(1), 433–436 (1999)

    Article  Google Scholar 

  10. Kuchta D.: Fuzzy capital budgeting. Fuzzy Sets Syst. 111(3), 367–385 (2000)

    Article  MATH  Google Scholar 

  11. Lin C., Hsieh P.J.: A fuzzy decision support system for strategic portfolio management. Decis. Support Syst. 38(3), 383–398 (2004)

    Article  Google Scholar 

  12. Enea M., Piazza T.: Project selection by constrained fuzzy AHP. Fuzzy Optim. Decis. Mak. 3(1), 39–62 (2004)

    Article  MATH  Google Scholar 

  13. Huang X.: Credibility-based chance-constrained integer programming models for capital budgeting with fuzzy parameters. Inf. Sci. 176(18), 2698–2712 (2006)

    Article  MATH  Google Scholar 

  14. Wei C.C., Liang G.S., Wang M.J.J.: A comprehensive supply chain management project selection framework under fuzzy environment. Int. J. Proj. Manag. 25(6), 627–636 (2007)

    Article  Google Scholar 

  15. Rebiasz B.: Fuzziness and randomness in investment project risk appraisal. Comput. Oper. Res. 34(1), 199–210 (2007)

    Article  MATH  Google Scholar 

  16. Wang J., Hwang W.L.: A fuzzy set approach for R&D portfolio selection using a real options valuation model. Omega 35(3), 247–257 (2007)

    Article  MathSciNet  Google Scholar 

  17. Carlsson C., Fullér R., Heikkilä M., Majlender P.: A fuzzy approach to R&D project portfolio selection. Int. J. Approx. Reason. 44(2), 93–105 (2007)

    Article  MATH  Google Scholar 

  18. Huang X.: Mean-semivariance models for fuzzy portfolio selection. J. Comput. Appl. Math. 217(1), 1–8 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  19. Chen C.T., Cheng H.L.: A comprehensive model for selecting information system project under fuzzy environment. Int. J. Proj. Manag. 27(4), 389–399 (2009)

    Article  Google Scholar 

  20. Liao S.H., Ho S.H.: Investment project valuation based on a fuzzy binomial approach. Inf. Sci. 180(11), 2124–2133 (2010)

    Article  Google Scholar 

  21. Zhang W.G., Mei Q., Lu Q., Xiao W.L.: Evaluating methods of investment project and optimizing models of portfolio selection in fuzzy uncertainty. Comput. Ind. Eng. 61(3), 721–728 (2011)

    Article  Google Scholar 

  22. Perez, F.; Gomez, T.: Multiobjective project portfolio selection with fuzzy constraints. Ann. Oper. Res. (2014). doi:10.1007/s10479-014-1556-z

  23. Carlsson, C.; Fuller, R.; Mezeiz, J.: Project selection with interval-valued fuzzy numbers. In: 2011 IEEE 12th International Symposium on Computational Intelligence and Informatics (CINTI) (2011)

  24. Grattan-Guinness I.: Fuzzy Membership Mapped onto Intervals and Many-Valued Quantities. Math. Logic Q. 22(1), 149–160 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  25. Cornelis C., Deschrijver G., Kerre E.E.: Advances and challenges in interval-valued fuzzy logic. Fuzzy Sets Syst. 157(5), 622–627 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  26. Yao J.S., Lin F.T.: Constructing a fuzzy flow-shop sequencing model based on statistical data. Int. J. Approx. Reason. 29(3), 215–234 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  27. Hong D.H., Lee S.: Some algebraic properties and a distance measure for interval-valued fuzzy numbers. Inf. Sci. 148(1), 1–10 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  28. Carlsson C., Fullér R.: On possibilistic mean value and variance of fuzzy numbers. Fuzzy Sets Syst. 122(2), 315–326 (2001)

    Article  MATH  Google Scholar 

  29. Floricel S., Miller R.: Strategizing for anticipated risks and turbulence in large-scale engineering projects. Int. J. Proj. Manag. 19(8), 445–455 (2001)

    Article  Google Scholar 

  30. Chapman C.B., Ward S.C., Klein J.H.: An optimized multiple test framework for project selection in the public sector, with a nuclear waste disposal case-based example. Int. J. Proj. Manag. 24(5), 373–384 (2006)

    Article  Google Scholar 

  31. Ghorbal-Blal I.: The role of middle management in the execution of expansion strategies: The case of developers’ selection of hotel projects. Int. J. Hosp. Manag. 30(2), 272–282 (2011)

    Article  Google Scholar 

  32. Miller K.D., Reuer J.J.: Measuring organizational downside risk. Strat. Manag. J. 17(9), 671–691 (1996)

    Article  Google Scholar 

  33. Belaid F.: Decision-making process for project portfolio management. Int. J. Serv. Oper. Inf. 6(1-2), 160–181 (2011)

    Google Scholar 

  34. Markowitz H.M.: Portfolio selection: efficient diversification of investments (Vol. 16). Yale University Press, London (1968)

    Google Scholar 

  35. Hassanzadeh F., Collan M., Modarres M.: A practical approach to R&D portfolio selection using the fuzzy pay-off method. IEEE Trans. Fuzzy Syst. 20(4), 615–622 (2012)

    Article  Google Scholar 

  36. Gupta P., Inuiguchi M., Mehlawat M.K., Mittal G.: Multiobjective credibilistic portfolio selection model with fuzzy chance-constraints. Inf. Sci. 229, 1–17 (2013)

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran

    Vahid Mohagheghi & S. Meysam Mousavi

  2. Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran

    Behnam Vahdani

Authors
  1. Vahid Mohagheghi
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  2. S. Meysam Mousavi
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  3. Behnam Vahdani
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Correspondence to S. Meysam Mousavi.

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Mohagheghi, V., Mousavi, S.M. & Vahdani, B. A New Optimization Model for Project Portfolio Selection Under Interval-Valued Fuzzy Environment. Arab J Sci Eng 40, 3351–3361 (2015). https://doi.org/10.1007/s13369-015-1779-6

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  • DOI: https://doi.org/10.1007/s13369-015-1779-6

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