Skip to main content
Log in

Some applications of intuitionistic fuzzy sets using new similarity measure

  • Original Research
  • Published:
Journal of Ambient Intelligence and Humanized Computing Aims and scope Submit manuscript

Abstract

Intuitionistic fuzzy set proposed by Atanassov, have gained attention from researchers for their applications in various fields. It is very useful in providing a flexible model to elaborate uncertainty and vagueness involved in decision making. In this paper, firstly some existing measures of distance and similarity are reviewed. We proposed its application in real life situations such as in diagnostic medicine and pattern recognition using new similarity measure. Moreover it is demonstrated that the proposed new similarity measure is capable of discriminating difference between patterns.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Atanassov KT (1999) Intuitionistic fuzzy set, theory and applications. Springer, New York

    Book  Google Scholar 

  • Atanassov KT (2001) Remark on two operations over intuitionistic fuzzy sets. Int J Uncertain Fuzziness Knowl Syst 9(1):71–75

    Article  MathSciNet  Google Scholar 

  • Chen SM (1995) Measures of similarity between vague sets. Fuzzy Sets Syst 74(2):217–223

    Article  MathSciNet  Google Scholar 

  • De SK, Biswas R, Roy AR (2000) Some operations on intuitionistic fuzzy sets. Fuzzy Sets Syst 114(4):477–484

    Article  MathSciNet  Google Scholar 

  • Dengfeng L, Chuntian C (2002) New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions. Pattern Recogn Lett 23(13):221–225

    Article  Google Scholar 

  • Ejegwa PA, Onoja AM, Emmanuel IT (2014) A notes on some models of intuitionistic fuzzy sets in real life situations. J Glob Res Math Arch 2:5

    Google Scholar 

  • Liu X (1992) Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets Syst 52:305–318

    Article  MathSciNet  Google Scholar 

  • Song Y, Wang X, Lei L, Xue A (2014) A new similarity measure between intuitionistic fuzzy sets and its application to pattern recognition. Abstr Appl Anal 2014:384241. https://doi.org/10.1155/2014/384241

    Article  MathSciNet  MATH  Google Scholar 

  • Szmidt E (2013) Distance and similarities in intuitionistic fuzzy sets. Springer, New York

    MATH  Google Scholar 

  • Szmidt E, Kacprzyk J (1997) Measuring distances between intuitionistic fuzzy sets. Notes IFS 3(4):1–3

    MathSciNet  MATH  Google Scholar 

  • Szmidt E, Kacprzyk J (2000) Distances between intuitionistic fuzzy Sets. Fuzzy Sets Syst 114(3):505–518

    Article  MathSciNet  Google Scholar 

  • Xia M, Xu Z (2010) Some new similarity measures for intuitionistic fuzzy values and their application in group decision making. J Syst Sci Syst Eng 19(4):430–452

    Article  Google Scholar 

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

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohammed Nabeel Iqbal.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Iqbal, M.N., Rizwan, U. Some applications of intuitionistic fuzzy sets using new similarity measure. J Ambient Intell Human Comput (2019). https://doi.org/10.1007/s12652-019-01516-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12652-019-01516-7

Keywords

Navigation