Skip to main content

Use of Intuitionistic Fuzzy Time Series in Forecasting Enrollments to an Academic Institution

  • Conference paper
  • First Online:
Book cover Proceedings of Fifth International Conference on Soft Computing for Problem Solving

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 436))

Abstract

Fuzzy time series (FTS) forecasting models are widely applicable when the information is imprecise and vague. The concept of fuzzy set (FS) is generalized to intuitionistic fuzzy set (IFS) and proved that it is more suitable and powerful tool to deal with real life problems under uncertainty as compared to FSs theory. In this study, first we extended the definitions of FTS to the IFSs and proposed the notion of intuitionistic FTS. Further, the presented concept of intuitionistic FTS is applied to develop a forecasting model under uncertainty. Then, it is applied to the benchmark problem of the historical enrollments data of University of Alabama and the obtained results are compared with the results obtained by existing methods to show its effectiveness as compared to FTS.

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

  1. Zadeh, L.A.: Fuzzy set. Inf. Control 8, 338–353 (1965)

    Google Scholar 

  2. Song, Q., Chissom, B.: Fuzzy time series and its models. Fuzzy Sets Syst. 54, 269–277 (1993)

    Google Scholar 

  3. Song, Q., Chissom, B.: Forecasting enrollments with fuzzy time series—Part I. Fuzzy Sets Syst. 54, 1–9 (1993)

    Google Scholar 

  4. Song, Q., Chissom, B.: Forecasting enrollments with fuzzy time series—Part II. Fuzzy Sets Syst. 64, 1–8 (1994)

    Google Scholar 

  5. Chen, S.M.: Forecasting enrollments based on fuzzy time series. Fuzzy Sets Syst. 81, 311–319 (1996)

    Google Scholar 

  6. Huarng, K.: Heuristic models of fuzzy time series for forecasting. Fuzzy Sets Syst. 123, 369–386 (2001)

    Google Scholar 

  7. Chen, S.M.: Forecasting enrollments based on high-order fuzzy time series. Cybern. Syst. 33, 1–16 (2002)

    Google Scholar 

  8. Lee, H.S., Chou., M.T.: Fuzzy forecasting based on fuzzy time series. Int. J. Comput. Math. 81(7), 781–789 (2004)

    Google Scholar 

  9. Singh, S.R.: A simple method of forecasting based on fuzzy time series. Appl. Math. Comput. 186, 330–339 (2007)

    Google Scholar 

  10. Liu, H.T.: An improved fuzzy time series forecasting method using trapezoidal fuzzy numbers. Fuzzy Optim. Decision Making 6, 63–80 (2007)

    Google Scholar 

  11. Liu, H.T., Wei, N.C., Yang, C.G.: Improved time-variant fuzzy time series forecast. Fuzzy Optim. Decision Making 8, 45–65 (2009)

    Google Scholar 

  12. Joshi, B.P., Kumar, S.: A computational method for fuzzy time series forecasting based on difference parameters. Int. J. Model. Simul. Sci. Comput. 4(1), 1250023-1-1250023-12 (2013)

    Google Scholar 

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

    Google Scholar 

  14. Joshi, B.P., Kumar, S.: A computational method of forecasting based on intuitionistic fuzzy sets and fuzzy time series. In: Proceedings of the International Conference on SocProS 2011, AISC 131, 925–932. springerlink.com (2011)

    Google Scholar 

  15. Joshi, B.P., Kumar, S.: Intuitionistic fuzzy sets based method for fuzzy time series forecasting. Cybern. Syst. 43(1), 34–47 (2012)

    Google Scholar 

  16. Joshi, B.P., Kumar, S.: Fuzzy time series model based on intuitionistic fuzzy sets for empirical research in stock market. Int. J. Appl. Evol. Comput. 3(4), 71–84 (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bhagawati Prasad Joshi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer Science+Business Media Singapore

About this paper

Cite this paper

Joshi, B.P., Mukesh Pandey, Sanjay Kumar (2016). Use of Intuitionistic Fuzzy Time Series in Forecasting Enrollments to an Academic Institution. In: Pant, M., Deep, K., Bansal, J., Nagar, A., Das, K. (eds) Proceedings of Fifth International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 436. Springer, Singapore. https://doi.org/10.1007/978-981-10-0448-3_70

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-0448-3_70

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-0447-6

  • Online ISBN: 978-981-10-0448-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics