Skip to main content

Present Worth Analysis Using Pythagorean Fuzzy Sets

  • Conference paper
  • First Online:
Book cover Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

Abstract

One of the investment decision making techniques is present worth analysis (PWA) and it is almost the most frequently used one. Uncertain cash flows, uncertain life, and uncertain time value of money cause the usage of a fuzzy PWA. In this paper, we develop a Pythagorean fuzzy present worth analysis method to handle the fuzzy parameters of investments. Pythagorean fuzzy sets have better powerful ability than intuitionistic fuzzy sets to model the uncertainty in investment decision making problems. We present the numerical applications of the proposed PWA method.

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 EPUB and 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

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87–96 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  • Baskak, M., Kahraman, C.: Fuzzy replacement analysis. Conference of the North American: Fuzzy Information Processing Society (1998)

    Google Scholar 

  • Buckley, J.J.: The fuzzy mathematics of finance. Fuzzy Sets Syst. 1987(21), 257273 (1987)

    MathSciNet  Google Scholar 

  • Dick, S., Yager, R.R., Yazdanbakhsh, O.: On Pythagorean and complex fuzzy set operations. IEEE Trans. Fuzzy Syst. 24(5), 1009–1021 (2016)

    Article  Google Scholar 

  • Dimitrovski, A., Matos, M.: Fuzzy present worth analysis with correlated and uncorrelated cash flows. In: Kahraman, C. (ed.) Fuzzy Engineering Economics with Applications. Springer, Heidelberg (2008)

    Google Scholar 

  • Esogbue, A.O., Hearnes, W.E.: On replacement models via a fuzzy set theoretic framework. IEEE Trans. Syst. Man Cybernet. 28(4), 549–560 (1998)

    Article  MATH  Google Scholar 

  • Garg, H.: A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multicriteria decision making problem. J. Intell. Fuzzy Syst. 31(1), 529–540 (2016)

    Article  MATH  Google Scholar 

  • Garibaldi, J.M., Ozen, T.: Uncertain fuzzy reasoning: a case study in modelling expert decision making. IEEE Trans. Fuzzy Syst. 15(1), 16–30 (2007)

    Article  Google Scholar 

  • Grattan-Guiness, I.: Fuzzy membership mapped onto interval and many-valued quantities, p. 22. Z. Math. Logik, Grundladen Math (1975)

    Google Scholar 

  • Jahn, K.: Intervall-wertige Mengen. Math. Nach. 68(1975), 115–132 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  • Kahraman, C. (ed.): Fuzzy Engineering Economics with Applications, Studies in Fuzziness and Soft Computing, vol. 233. Springer, Berlin (2008)

    Google Scholar 

  • Kahraman, C., Demircan, M.L.: Fuzzy replacement analysis. In: Kahraman, C. (ed.) Fuzzy Engineering Economics with Applications. Springer, New York (2008)

    Google Scholar 

  • Kahraman, C., Ruan, D., Tolga, E.: Capital budgeting techniques using discounted fuzzy versus probabilistic cash flows. Inf. Sci. 142(1–4), 57–76 (2002)

    Article  MATH  Google Scholar 

  • Karaşan, A., Kahraman, C.: A novel intuitionistic fuzzy DEMATEL—ANP—TOPSIS integrated methodology for freight village location selection. J. Intell. Fuzzy Syst. (accepted paper)

    Google Scholar 

  • Karsak, E., Tolga, E.: Fuzzy multi-criteria decision-making procedure for evaluating advanced manufacturing system investments. Int. J. Prod. Econ. 69(1), 49–64 (2001)

    Article  Google Scholar 

  • Kaufmann, A., Gupta, M.M.: Fuzzy mathematical models in engineering and management science. Elsevier, New York (1988)

    MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  • Kuchta, D.: Optimization with fuzzy present worth analysis and applications, in fuzzy engineering economics with applications. In: Kahraman, C. (ed.) Studies in Fuzziness and Soft Computing, vol. 233, pp. 43–69 (2008)

    Google Scholar 

  • Liou, T.S., Chen, C.W.: Fuzzy decision analysis for alternative selection using a fuzzy annual worth criterion. Eng. Econ. 51(1), 19–34 (2006)

    Article  Google Scholar 

  • Liu, W., Chang, J., He, X.: Generalized Pythagorean fuzzy aggregation operators and applications in decision making. Control Decis. 31(12), 2280–2286 (2016)

    Google Scholar 

  • Peng, X., Yang, Y.: Some results for pythagorean fuzzy sets. Int. J. Intell. Syst. 30(11), 1133–1160 (2015)

    Article  MathSciNet  Google Scholar 

  • Sambuc, R.: Fonctions ɸ-floues. Application l’aide au diagnostic en pathologie thyroidienne. Univ. Marseille, France (1975)

    Google Scholar 

  • Smarandache, F.: Neutrosophic logic-generalization of the intuitionistic fuzzy logic. arXiv preprint math/0303009 (2003)

    Google Scholar 

  • Torra, V.: Hesitant fuzzy sets. Int. J. Intell. Syst. 25(2010), 529–539 (2010)

    MATH  Google Scholar 

  • Yager, R.R.: Pythagorean fuzzy subsets. In: Proceedings of the Joint IFSA Congress and NAFIPS Meeting, pp. 57–61. Edmonton, Canada (2013)

    Google Scholar 

  • Yager, R.R.: On the theory of bags. Int. J. Gen Syst. 13(1986), 23–37 (1986)

    Article  MathSciNet  Google Scholar 

  • Zadeh, L.: Fuzzy sets. Inf. Control 8(1965), 338–353 (1965)

    Article  MATH  Google Scholar 

  • Zadeh, L.: The concept of a linguistic variable and its application to approximate reasoning-1. Inf. Sci. 8, 199–249 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang, X., Xu, Z.: Extension of TOPSIS to multiple criteria decision making with pythagorean fuzzy sets. Int. J. Intell. Syst. 29, 1061–1078 (2014)

    Article  MathSciNet  Google Scholar 

  • Zhang, X.: Multicriteria Pythagorean fuzzy decision analysis. Inf. Sci. 330, 104–124 (2016)

    Article  Google Scholar 

  • Ward, T.L.: Fall Industrial Engineering Conference. Institute of Industrial Engineers, Chicago, pp. 476–481 (1985)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cengiz Kahraman .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Cite this paper

Kahraman, C., Onar, S.C., Oztaysi, B. (2018). Present Worth Analysis Using Pythagorean Fuzzy Sets. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 642. Springer, Cham. https://doi.org/10.1007/978-3-319-66824-6_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-66824-6_30

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66823-9

  • Online ISBN: 978-3-319-66824-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics