Skip to main content
SpringerLink
Log in

Intuitionistic Fuzzy PROMETHEE Technique for Multi-criteria Decision Making Problems Based on Entropy Measure

  • Conference paper
  • First Online:
Advances in Computing and Data Sciences (ICACDS 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 721))

Included in the following conference series:

Abstract

Entropy measures play an important role in the field of fuzzy set theory and generalized by various authors for different purposes. In the present communication, intuitionistic fuzzy entropy measure based on sine function is developed. Further, the modified intuitionistic fuzzy PROMETHEE (IF-PROMETHEE) technique for multi-criteria decision making problems is discussed with the help of proposed entropy measure and the intuitionistic fuzzy preferences. Finally, the effectiveness of the technique is illustrated through a problem of selection of the antiretroviral drugs for HIV/AIDS to reduce the infection of HIV.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)

    Article  MATH  Google Scholar 

  2. Behzadian, M., Kazemzadeh, R.B., Albadvi, A., Aghdasi, M.: PROMETHEE: a comprehensive literature review on methodologies and applications. Eur. J. Oper. Res. 200, 198–215 (2010)

    Article  MATH  Google Scholar 

  3. Bilsel, R.U., Buyukozkan, G., Ruan, D.: A fuzzy preference ranking model for a quality evaluation of hospital Web sites. Int. J. Intell. Syst. 21, 1181–1197 (2006)

    Article  MATH  Google Scholar 

  4. Brans, J.P.: L’ingenierie de la decision; Elaboration d’intruments d’aide a la decision. La methode PROMETHEE. In: Nadeau, R., Landry, M. (eds.) L’aide a la decision: Nature, Instruments et Perspectives d’Avenir, pp. 183–213. Presses de I’Universite Laval, Quebec (1982)

    Google Scholar 

  5. Brans, J.P., Mareschal, B.: PROMETHEE methods. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, vol. 78, pp. 163–195. Springer, New York (2005)

    Chapter  Google Scholar 

  6. Brans, J.P., Mareschal, B.: PROMETHEE V - MCDM problems with segmentation constraints. INFOR 30, 85–96 (1992)

    MATH  Google Scholar 

  7. Brans, J.P., Mareschal, B.: The PROMETHEE VI procedure: how to differentiate hard from soft multicriteria problems. J. Decis. Syst. 4, 213–223 (1995)

    Article  Google Scholar 

  8. Burillo, P., Bustince, H.: Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy Sets Syst. 118, 305–316 (2001)

    MathSciNet  MATH  Google Scholar 

  9. De Luca, A., Termini, S.: A definition of a non-probabilistic entropy in the setting of fuzzy sets theory. Inf. Control 20, 301–312 (1972)

    Article  MATH  Google Scholar 

  10. De, S.K., Biswas, R., Roy, A.R.: An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets Syst. 117, 209–213 (2001)

    Article  MATH  Google Scholar 

  11. Goumas, M., Lygerou, V.: An extension of the PROMETHEE method for decision making in fuzzy environment: ranking of alternative energy exploitation projects. Eur. J. Oper. Res. 123, 606–613 (2000)

    Article  MATH  Google Scholar 

  12. Halouani, N., Chabchoub, H., Martel, J.M.: PROMETHEE MD-2T method for project selection. Eur. J. Oper. Res. 195, 841–849 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  13. Huang, G.S., Liu, Y.S.: The fuzzy entropy of vague sets based on non-fuzzy sets. Comput. Appl. Softw. 22, 16–17 (2005)

    Google Scholar 

  14. Hung, W.L., Yang, M.S.: Fuzzy entropy on intuitionistic fuzzy sets. Int. J. Intell. Syst. 21, 443–451 (2006)

    Article  MATH  Google Scholar 

  15. Joshi, D., Kumar, S.: Intuitionistic fuzzy entropy and distance measure based TOPSIS method for multi-criteria decision making. Egypt. Inform. J. 15, 97–104 (2014)

    Article  Google Scholar 

  16. Jurio, A., Paternain, D., Bustince, H., Guerra, C., Beliakov, G.: A construction method of Atanassov’s intuitionistic fuzzy sets for image processing. In: Proceedings of the Fifth IEEE Conference on Intelligent Systems, vol. 1, pp. 337–342 (2010)

    Google Scholar 

  17. Le Teno, J.F., Mareschal, B.: An interval version of PROMETHEE for the comparison of building products’ design with ill-defined data on environmental quality. Eur. J. Oper. Res. 109, 522–529 (1998)

    Article  MATH  Google Scholar 

  18. Li, W.X., Li, B.Y.: An extension of the PROMETHEE II method based on generalized fuzzy numbers. Expert Syst. Appl. 37, 5314–5319 (2010)

    Article  Google Scholar 

  19. Liao, H., Xu, Z.S.: A VIKOR-based method for hesitant fuzzy multi-criteria decision making. Fuzzy Optim. Decis. Making 12, 373–392 (2013)

    Article  MathSciNet  Google Scholar 

  20. Liao, H., Xu, Z.S.: Multi-criteria decision making with intuitionistic fuzzy PROMETHEE. J. Intell. Fuzzy Syst. 27, 1703–1717 (2014)

    MathSciNet  MATH  Google Scholar 

  21. Mishra, A.R.: Intuitionistic fuzzy information measures with application in rating of township development. Iran. J. Fuzzy Syst. 13, 49–70 (2016)

    MathSciNet  MATH  Google Scholar 

  22. Mishra, A.R., Jain, D., Hooda, D.S.: Intuitionistic fuzzy similarity and information measures with physical education teaching quality assessment. In: Satapathy, S.C., Raju, K.S., Mandal, J.K., Bhateja, V. (eds.) Proceedings of the Second International Conference on Computer and Communication Technologies. AISC, vol. 379, pp. 387–399. Springer, New Delhi (2016). doi:10.1007/978-81-322-2517-1_38

    Chapter  Google Scholar 

  23. Mishra, A.R., Hooda, D.S., Jain, D.: Weighted trigonometric and hyperbolic fuzzy information measures and their applications in optimization principles. Int. J. Comput. Math. Sci. 3, 62–68 (2014)

    Google Scholar 

  24. Mishra, A.R., Hooda, D.S., Jain, D.: On exponential fuzzy measures of information and discrimination. Int. J. Comput. Appl. 119, 01–07 (2015)

    Google Scholar 

  25. Mishra, A.R., Jain, D., Hooda, D.S.: On fuzzy distance and induced fuzzy information measures. J. Inf. Optim. Sci. 37, 193–211 (2016)

    MathSciNet  Google Scholar 

  26. Mishra, A.R., Jain, D., Hooda, D.S.: On logarithmic fuzzy measures of information and discrimination. J. Inf. Optim. Sci. 37, 213–231 (2016)

    MathSciNet  Google Scholar 

  27. Szmidt, E., Kacprzyk, J.: Entropy for intuitionistic fuzzy sets. Fuzzy Sets Syst. 118, 467–477 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  28. Verma, R., Sharma, B.D.: Exponential entropy on intuitionistic fuzzy sets. Kybernetika 49, 114–127 (2013)

    MathSciNet  MATH  Google Scholar 

  29. Xu, Z.S., Liao, H.C.: Intuitionistic fuzzy analytic hierarchy process. IEEE Trans. Fuzzy Syst. 22, 749–761 (2014)

    Article  Google Scholar 

  30. Wei, C.P., Zhang, Y.: Entropy measures for interval-valued intuitionistic fuzzy sets and their application in group decision making. Math. Prob. Eng. 2015, 1–13 (2015)

    MathSciNet  Google Scholar 

  31. Ye, J.: Two effectives measures of intuitionistic fuzzy entropy. Computing 87, 55–62 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  32. Zhang, K.J., Kluck, K.J., Achari, G.: A comparative approach for ranking contaminated sites based on the risk assessment paradigm using fuzzy PROMETHEE. Environ. Manage. 44, 952–967 (2009)

    Article  Google Scholar 

  33. Zhang, Q.S., Jiang, S.Y.: A note on information entropy measures for vague sets and its application. Inf. Sci. 178, 4184–4191 (2008)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge the helpful comments and suggestions of the reviewers, which have improved the paper.

Author information

Authors and Affiliations

  1. Jaypee University of Engineering and Technology, Guna, India

    Pratibha Rani & Divya Jain

Authors
  1. Pratibha Rani
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Divya Jain
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Divya Jain .

Editor information

Editors and Affiliations

  1. Krishna Engineering College, Ghaziabad, Uttar Pradesh, India

    Mayank Singh

  2. Jaypee University of Information Technology, Waknaghat, Himachal Pradesh, India

    P.K. Gupta

  3. Department of Computer Science and Engineering, Raghogarh, Jaypee University of Engineering and Technology, Guna, Madhya Pradesh, India

    Vipin Tyagi

  4. Indira Gandhi Delhi Technical University, New Delhi, India

    Arun Sharma

  5. School of Electrical Engineering and Computer Science, University of Ottawa, Ottawa, Ontario, Canada

    Tuncer Ören

  6. Department of Computer and Information Science, University of Michigan-Dearborn, Dearborn, Michigan, USA

    William Grosky

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Nature Singapore Pte Ltd.

About this paper

Cite this paper

Rani, P., Jain, D. (2017). Intuitionistic Fuzzy PROMETHEE Technique for Multi-criteria Decision Making Problems Based on Entropy Measure. In: Singh, M., Gupta, P., Tyagi, V., Sharma, A., Ören, T., Grosky, W. (eds) Advances in Computing and Data Sciences. ICACDS 2016. Communications in Computer and Information Science, vol 721. Springer, Singapore. https://doi.org/10.1007/978-981-10-5427-3_31

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-5427-3_31

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-5426-6

  • Online ISBN: 978-981-10-5427-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation