Skip to main content
SpringerLink
Log in

A Multi-criteria Decision Making Method on Intuitionistic Fuzzy Sets

  • Conference paper
Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 54))

  • 1098 Accesses

Abstract

This paper discusses a multi-criteria decision making model on intuitionistic fuzzy sets. Based on the similarity measure between intuitionistic fuzzy sets, a novel method is shown for the multi-criteria decision making model, the starting point of the proposed method is a geometrical interpretation of intuitionistic fuzzy set. An alternative is mapped to an intuitionistic fuzzy value by using the degree of similarity, and then a score function is used to measure the degree of suitability that an alternative satisfies the decision maker’s requirement. Examples are given to show the proposed method’s effectiveness.

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

Access this chapter

Log in via an institution
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

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. Zadeh, L.A.: Fuzzy sets. Inform. Control 8, 338–356 (1965)

    Article  MATH  MathSciNet  Google Scholar 

  2. Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 87–96 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  3. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. Fuzzy Sets and Systems 20, 87–96 (1975)

    Google Scholar 

  4. Gau, W.L., Buehrer, D.J.: Vague sets. IEEE Trans SMC 23, 610–614 (1993)

    MATH  Google Scholar 

  5. Burillo, P., Bustine, H.: Vague sets are intuitionistic fuzzy sets. Fuzzy Sets and Systems 79, 403–405 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  6. Deschrijver, G., Kerre, E.E.: On the relationship between some extensions of fuzzy set theory. Fuzzy Sets and Systems 133, 227–235 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  7. Burillo, P., Bustince, H.: Construction theorems for intuitionistic fuzzy sets. Fuzzy Sets and Systems 84, 271–281 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  8. Burillo, P., Bustince, H.: Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy Sets and Systems 78, 305–316 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  9. Szmidt, E., Kacprzyk, J.: Distances between intuitionistic fuzzy sets. Fuzzy Sets and Systems 114, 505–518 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  10. Szmidt, E., Kacprzyk, J.: Distance between intuitionistic fuzzy sets and their applications in reasoning. Studies in Computational Intelligence 2, 101–116 (2005)

    Google Scholar 

  11. Szmidt, E., Kacprzyk, J.: A similarity measure for intuitionistic fuzzy sets and its application in supporting medical diagnostic reasoning. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 388–393. Springer, Heidelberg (2004)

    Google Scholar 

  12. Montero, J., Gómez, D., Bustince, H.: Atanassov’s intuitionistic fuzzy sets as a classification model. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds.) IFSA 2007. LNCS (LNAI), vol. 4529, pp. 69–75. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  13. Chen, S.M., Tan, J.M.: Handling multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets and Systems 67, 163–172 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  14. Hong, D.H., Choi, C.H.: Multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets and Systems 114, 103–113 (2000)

    Article  MATH  Google Scholar 

  15. Szmidt, E., Kacprzyk, J.: An application of intuitionistic fuzzy set similarity measures to a multi-criteria decision making problem. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 314–323. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  16. Atanassov, K.T.: Intuitionistic fuzzy sets: theory and application. physica-verlag, Heidelberg (2000)

    Google Scholar 

  17. Chen, S.M.: Similarity measures between vague sets and between elements. IEEE Trans. SMC 27, 153–158 (1997)

    Google Scholar 

  18. Fan, J.L.: Similarity measure on vague values and vague sets. Systems Engineering: Theory and Practice 26, 95–100 (2006) (In chinese)

    Google Scholar 

  19. Wang, J., Zhang, J., Liu, S.Y.: A new score function for fuzzy MCDM based on vague set theory. International Journal of Computational Cognition 4, 44–48 (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Information and Control, Xi’an Institute of Post and Telecommunications, Xi’an, 710061, P.R. China

    Rong Lan & Jiu-lun Fan

  2. School of Electronic Engineering, Xidian University, Xi’an, 710071, P.R. China

    Rong Lan

Authors
  1. Rong Lan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jiu-lun Fan
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Guangzhou Higher Education Mega Center, Guangzhou University, 230Wai Huan Xi Road, 510006, China

    Bing-yuan Cao

  2. Department of Mathematics, Hainan Normal University, Haikou, 571158, Hainan, P.R. China

    Cheng-yi Zhang

  3. Department of Electronic Information Engineering, Chongqing University of Science & Technology, 401331, Chongqing

    Tai-fu Li

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lan, R., Fan, Jl. (2009). A Multi-criteria Decision Making Method on Intuitionistic Fuzzy Sets. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-88914-4_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88913-7

  • Online ISBN: 978-3-540-88914-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation