Skip to main content

Fuzzy Capital Budgeting: Investment Project Evaluation and Optimization

  • Chapter
Fuzzy Applications in Industrial Engineering

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 201))

Abstract

Capital budgeting is based on the analysis of some financial parameters of considered investment projects. It is clear that estimation of investment efficiency, as well as any forecasting, is rather an uncertain problem. In a case of stock investment one can to some extent predict future profits using stock history and statistical methods, but only in a short time horizon. In the capital investment one usually deals with a business-plan which takes a long time — as a rule, some years — for its realization. In such cases, a description of uncertainty within a framework of traditional probability methods usually is impossible due to the absence of objective information about probabilities of future events. This is a reason for the growing for the last two decades interest in applications of interval and fuzzy methods in budgeting. In this paper a technique for fuzzy-interval evaluation of financial parameters is presented. The results of technique application in a form of fuzzy-interval and weighted non-fuzzy values for main financial parameters NPV and IRR as well as the quantitative estimation of risk of an investment are presented.Another problem is that one usually must consider a set of different local criteria based on financial parameters of investments. As its possible solution, a numerical method for optimization of future cash-flows based on the generalized project’s quality criterion in a form of compromise between local criteria of profit maximisation and financial risk minimisation is proposed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Belletante B, Arnaud H (1989) Choisir ses investissements. Paris Chotard et Associés Éditeurs

    Google Scholar 

  2. Brigham E F (1992) Fundamentals of Financial Management. The Dryden Press, New York

    Google Scholar 

  3. Chansa-ngavej Ch, Mount-Campbell CA (1991) Decision criteria in capital budgeting under uncertainties: implications for future research. Int J Prod Economics 23:25–35

    Article  Google Scholar 

  4. Liang P, Song F (1994) Computer-aided risk evaluation system for capital investment. Omega 22(4):391–400

    Article  Google Scholar 

  5. Bogle HF, Jehenck GK (1985) Investment Analysis: US Oil and Gas Producers Score High in University Survey. In: Proc of Hydrocarbon Economics and Evaluation Symposium. Dallas 234–241

    Google Scholar 

  6. Babusiaux D, Pierru A (2001) Capital budgeting, project valuation and financing mix: Methodological proposals. Europian Journal of Operational Research 135:326–337

    Article  MATH  MathSciNet  Google Scholar 

  7. Moore RE (1966) Interval analysis. Englewood Cliffs, Prentice-Hall N J

    MATH  Google Scholar 

  8. Zadeh LA (1965) Fuzzy sets. Inf.Control 8:338–353

    Article  MATH  MathSciNet  Google Scholar 

  9. Ward TL (1985) Discounted fuzzy cash flow analysis. In: 1985 Fall Industrial Engineering Conference Proceedings 476–481

    Google Scholar 

  10. Buckley JJ (1987) The fuzzy mathematics of finance. Fuzzy Sets and Systems 21:257–273

    Article  MATH  MathSciNet  Google Scholar 

  11. Chen S (1995) An empirical examination of capital budgeting techniques: impact of investment types and firm characteristics. Eng Economist 40(2):145–170

    Google Scholar 

  12. Chiu CY, Park CS (1994) Fuzzy cash flow analysis using present worth criterion. Eng Economist 39(2):113–138

    Google Scholar 

  13. Choobineh F, Behrens A (1992) Use of intervals and possibility distributions in economic analysis. J Oper Res Soc 43(9):907–918

    Article  MATH  Google Scholar 

  14. Dimova L, Sevastianov P, Sevastianov D (2005) MCDM in a fuzzy setting: investment projects assessment application. International Journal of Production Economics (in press)

    Google Scholar 

  15. Li Calzi M (1990) Towards a general setting for the fuzzy mathematics of finance. Fuzzy Sets and Systems 35:265–280

    Article  MATH  MathSciNet  Google Scholar 

  16. Perrone G (1994) Fuzzy multiple criteria decision model for the evaluation of AMS. Comput Integrated Manufacturing Systems 7(4):228–239

    Article  Google Scholar 

  17. Chiu CY, Park CS (1994) Fuzzy cash flow analysis using present worth criterion. Eng Economist 39(2):113–138

    Google Scholar 

  18. Kahraman C, Tolga E, Ulukan Z (2000) Justification of manufacturing technologies using fuzzy benefit/cost ratio analysis. Int J Product Econom 66(1):45–52

    Article  Google Scholar 

  19. Kahraman C, Ulukan Z (1997) Continuous compounding in capital budgeting using fuzzy concept. In: Proc of the 6th IEEE International Conference on Fuzzy Systems 1451–1455

    Google Scholar 

  20. Kahraman C, Ulukan Z (1997) Fuzzy cash flows under inflation. In: Proc of the Seventh International Fuzzy Systems Association World Congress (IFSA 97) 4:104–108

    Google Scholar 

  21. Sevastianov P, Sevastianov D (1997) Risk and capital budgeting parameters evaluation from the fuzzy sets theory position. Reliable software 1:10–19

    Google Scholar 

  22. Dimova L, Sevastianov D, Sevastianov P (2000) Application of fuzzy sets theory, methods for the evaluation of investment efficiency parameters. Fuzzy economic review 5(1):34–48

    Google Scholar 

  23. Kuchta D (2000) Fuzzy capital budgeting. Fuzzy Sets and Systems 111:367–385

    Article  MATH  Google Scholar 

  24. Kahraman C (2001) Fuzzy versus probabilistic benefit/cost ratio analisis for public work projects. Int J Appl Math Comp Sci 11(3):705–718

    MATH  MathSciNet  Google Scholar 

  25. Kahraman C, Ruan D, Tolga E (2002) Capital budgeting techniques using discounted fuzzy versus probabilistic cash flows. Information Sciences 142:57–76

    Article  MATH  Google Scholar 

  26. Kaufmann A, Gupta M (1985) Introduction to fuzzy-arithmetic theory and applications. Van Nostrand Reinhold, New York

    MATH  Google Scholar 

  27. Jaulin L, Kieffir M, Didrit O, Walter E (2001) Applied Interval Analysis. Springer-Verlag, London

    MATH  Google Scholar 

  28. Longerstaey J, Spenser M (1996) RiskMetric-Technical document. RiskMetric Group, J.P. Morgan, New York

    Google Scholar 

  29. Nedosekin A, Kokosh A (2004) Investment risk estimation for arbitrary fuzzy factors of investment project. In: Proc. of Int. Conf. on Fuzzy Sets and Soft Computing in Economics and Finance. St. Petersburg 423–437

    Google Scholar 

  30. Yager RA (1979) On the measure of fuzziness and negation. Part 1. Membership in the Unit. Interval Int J Gen Syst 5:221–229

    Article  MATH  MathSciNet  Google Scholar 

  31. Yager RR, Detyniecki M, Bouchon-Meunier B (2001) A context-dependent method for ordering fuzzy numbers using probabilities, Information Sciences 138:237–255

    Article  MATH  MathSciNet  Google Scholar 

  32. Sevastianov P, Dimova L, Zhestkova E (2000) Methodology of the multicriteria quality estimation and its software realizing. In: Proc of the Fourth International Conference on New Information Technologies NITe’ 1:50–54

    Google Scholar 

  33. Sevastianov P, Rog P (2002) A probabilistic approach to fuzzy and interval ordering, Task Quarterly. Special Issue Artificial and Computational Intelligence 7:147–156

    Google Scholar 

  34. Sewastianow P, Rog P (2005) Two-objective method for crisp and fuzzy interval comparison in optimization. Computers and Operation Research (in press)

    Google Scholar 

  35. Zimmermann HJ, Zysno P (1980) Latest connectives in human decision making. Fuzzy Sets and Systems 4:37–51

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this chapter

Cite this chapter

Sevastjanov, P., Dimova, L., Sevastianov, D. (2006). Fuzzy Capital Budgeting: Investment Project Evaluation and Optimization. In: Kahraman, C. (eds) Fuzzy Applications in Industrial Engineering. Studies in Fuzziness and Soft Computing, vol 201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-33517-X_7

Download citation

  • DOI: https://doi.org/10.1007/3-540-33517-X_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33516-0

  • Online ISBN: 978-3-540-33517-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics