Skip to main content

Extended TOPSIS and VIKOR Methods Based on a New Distance Measure of Intuitionistic Fuzzy Number

  • Conference paper
  • First Online:
Artificial Intelligence and Sustainable Computing

Part of the book series: Algorithms for Intelligent Systems ((AIS))

  • 369 Accesses

Abstract

Based on a new distance measure, this study proposes an intuitionistic FTOPSIS (Fuzzy Technique for Order Preference by Similarity to Ideal Solution) and an intuitionistic FVIKOR (Fuzzy VLSE Kriterijumska Optimizacija Kompromisno Resenje) method. We have developed a novel IFN (intuitionistic fuzzy number) distance metric and used it to calculate separation measure, collective utility, and personal regret. It is used to tackle MCDM (Multi-Criteria Decision-Making) situations where the weights of the parameters are unknown and the alternatives are ranked using IFNs (intuitionistic fuzzy numbers). Through numerical examples, a comparison of these two techniques is explained.

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 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
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

Similar content being viewed by others

References

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

    Article  MATH  Google Scholar 

  2. Atanassov KT (1999) Intuitionistic fuzzy sets. Physica-Verlag, Heidelberg, New York

    Book  MATH  Google Scholar 

  3. Boran FE (2011) An integrated intuitionistic fuzzy multi criteria decision making method for facility location selection. Math Comput Appl 16:487–496

    MathSciNet  MATH  Google Scholar 

  4. Parveen N, Kamble PN (2021) An extension of TOPSIS for group decision making in intuitionistic fuzzy environment. Math Found Comput 4:61–71 (American Institute of Mathematical Sciences). https://doi.org/10.3934/mfc.2021002

  5. Izadikhah M (2012) Group decision making process for supplier selection with TOPSIS method under interval-valued intuitionistic fuzzy numbers. Adv Fuzzy Syst 1–14

    Google Scholar 

  6. Parveen N, Kamble PN (2020) Decision making problem using fuzzy TOPSIS method with hexagonal fuzzy number. In: Advances in intelligent systems and computing, vol 1025. Springer Nature, Singapore, pp 421–430

    Google Scholar 

  7. Opricovic S, Teeng GH (2007) Extended VIKOR method in comparison with outranking methods. Eur J Oper Res 178:514–529

    Article  MATH  Google Scholar 

  8. Luo X, Wang X (2017) Extended VIKOR method for intuitionistic fuzzy multiattribute decision making based on a new distance measure. Math Probl Eng 1–16

    Google Scholar 

  9. Kamble PN, Parveen N (2018) An application of integrated fuzzy AHP and fuzzy TOPSIS method for staff selection. J Comput Math Sci 9(9):1161–1169

    Google Scholar 

  10. Hwang CL, Yoon K (1981) Multiple attribute decision making method. Springer, Berlin, pp 115–140

    Google Scholar 

  11. Opricovic S (1998) Multi-criteria optimization of civil engineering systems. Faculty of Civil Engineering, Belgrade

    Google Scholar 

  12. Mahapatra GS, Roy TK (2013) Intuitionistic fuzzy number and its arithmetic operation with application on system failure. J Uncertain Syst 7:92–107

    Google Scholar 

  13. Ponnivalavan K, Pathinathan T (2015) Intuitionistic pentagonal fuzzy number. ARPN J Eng Appl Sci 10:5446–5450

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Naziya Parveen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Kamble, P.N., Parveen, N. (2022). Extended TOPSIS and VIKOR Methods Based on a New Distance Measure of Intuitionistic Fuzzy Number. In: Pandit, M., Gaur, M.K., Rana, P.S., Tiwari, A. (eds) Artificial Intelligence and Sustainable Computing. Algorithms for Intelligent Systems. Springer, Singapore. https://doi.org/10.1007/978-981-19-1653-3_37

Download citation

Publish with us

Policies and ethics