Skip to main content

Advertisement

Springer Nature Link
Log in

Interval Neutrosophic Multiple Attribute Decision-Making Method with Credibility Information

  • Published:
International Journal of Fuzzy Systems Aims and scope Submit manuscript

Abstract

By considering credibility on every evaluation value of attributes in interval neutrosophic decision making, this paper proposes a credibility-induced interval neutrosophic weighted arithmetic averaging (CIINWAA) operator and a credibility-induced interval neutrosophic weighted geometric averaging (CIINWGA) operator, and investigates their properties. Then, we present a projection measure between interval neutrosophic numbers (INNs) and its ranking method for INNs. Furthermore, a decision-making method is established based on the CIINWAA and CIINWGA operators and the projection measure-based ranking method to handle multiple attribute decision-making problems with interval neutrosophic information and credibility information. Finally, an illustrative example and the comparative analysis are provided to demonstrate the application and effectiveness of the developed approach.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Explore related subjects

Discover the latest articles and news from researchers in related subjects, suggested using machine learning.

References

  1. Wang, J.Q., Nie, R.R., Zhang, H.Y., Chen, X.H.: Intuitionistic fuzzy multi-criteria decision-making method based on evidential reasoning. Appl. Soft Comput. 13(4), 1823–1831 (2013)

    Article  Google Scholar 

  2. Tan, C.Q.: A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS. Expert Syst. Appl. 38(4), 3023–3033 (2011)

    Article  Google Scholar 

  3. Tan, C.Q., Ma, B.J., Wu, D.D., Chen, X.H.: Multi-criteria decision making methods based on interval-valued intuitionistic fuzzy sets. Int. J. Uncertain. Fuzziness Knowl. Based Syst. 22(3), 475–494 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  4. Wan, S.P., Dong, J.Y.: A possibility degree method for interval-valued intuitionistic fuzzy multi-attribute group decision making. J. Comput. Syst. Sci. 80(1), 237–256 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  5. Wang, J.Q., Han, Z.Q., Zhang, H.Y.: Multi-criteria group decision-making method based on intuitionistic interval fuzzy information. Group Decis. Negot. 23, 715–733 (2014)

    Article  Google Scholar 

  6. Liu, P.D.: Some Hamacher aggregation operators based on the interval-valued intuitionistic fuzzy numbers and their application to group decision making. IEEE Trans. Fuzzy Syst. 22(1), 83–97 (2014)

    Article  Google Scholar 

  7. Peng, J.J., Wang, J., Wu, X.H., Zhang, H.Y., Chen, X.H.: The fuzzy cross-entropy for intuitionistic hesitant fuzzy sets and its application in multi-criteria decision-making. Int. J. Syst. Sci. (2015). doi:10.1080/00207721.2014.993744

    MathSciNet  MATH  Google Scholar 

  8. Wang, J., Zhou, P., Li, K.J., Zhang, H.Y., Chen, X.H.: Multi-criteria decision-making method based on normal intuitionistic fuzzy-induced generalized aggregation operator. TOP 22, 1103–1122 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  9. Smarandache, F.: A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic. American Research Press, Rehoboth (1999)

    MATH  Google Scholar 

  10. Wang, H., Smarandache, F., Zhang, Y.Q., Sunderraman, R.: Interval Neutrosophic Sets and Logic: Theory and Applications in Computing. Hexis, Phoenix (2005)

    MATH  Google Scholar 

  11. Wang, H., Smarandache, F., Zhang, Y.Q., Sunderraman, R.: Single Valued Neutrosophic Sets. Multispace Multistruct. 4, 410–413 (2010)

    MATH  Google Scholar 

  12. Ye, J.: Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. Int. J. Gen. Syst. 42(4), 386–394 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  13. Ye, J.: Another form of correlation coefficient between single valued neutrosophic sets and its multiple attribute decision-making method. Neutrosophic Sets Syst. 1, 8–12 (2013)

    Google Scholar 

  14. Ye, J.: Single valued neutrosophic cross-entropy for multicriteria decision making problems. Appl. Math. Model. 38, 1170–1175 (2014)

    Article  MathSciNet  Google Scholar 

  15. Liu, P.D., Wang, Y.M.: Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean. Neural Comput. Appl. 25(7–8), 2001–2010 (2014)

    Article  Google Scholar 

  16. Ye, J.: Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making. J. Intell. Fuzzy Syst. 26, 165–172 (2014)

    MATH  Google Scholar 

  17. Chi, P.P., Liu, P.D.: An extended TOPSIS method for multiple attribute decision making problems based on interval neutrosophic set. Neutrosophic Sets Syst. 1, 63–70 (2013)

    Google Scholar 

  18. Ye, J.: A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets. J. Intell. Fuzzy Syst. 26, 2459–2466 (2014)

    MathSciNet  MATH  Google Scholar 

  19. Ye, J.: Vector similarity measures of simplified neutrosophic sets and their application in multicriteria decision making. Int. J. Fuzzy Syst. 16(2), 1–8 (2014)

    Google Scholar 

  20. Zhang, H.Y., Wang, J.Q., Chen, X.H.: Interval neutrosophic sets and their application in multicriteria decision making problems. Sci. World J. (2014). doi:10.1155/2014/645953

    Google Scholar 

  21. Peng, J.J., Wang, J.Q., Wang, J., Zhang, H.Y., Chen, X.H.: Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems. Int. J. Syst. Sci. (2015). doi:10.1080/00207721.2014.994050

    MathSciNet  Google Scholar 

  22. Peng, J.J., Wang, J.Q., Zhan, H.Y., Chen, X.H.: An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets. Appl. Soft Comput. 25, 336–346 (2015)

    Article  Google Scholar 

  23. Peng, J.J., Wang, J.Q., Wu, X.H., Wang, J., Chen, X.H.: Multi-valued neutrosophic sets and power aggregation operators with their applications in multi-criteria group decision- making problems. Int. J. Comput. Intell. Syst. 8(4), 345–363 (2015)

    Article  Google Scholar 

  24. Zhang, H.Y., Wang, J., Chen, X.H.: An outranking approach for multi-criteria decision-making problems with interval-valued neutrosophic sets. Neural Comput. Appl. (2015). doi:10.1007/s00521-015-1882-3

    Google Scholar 

  25. Tian, Z.P., Wang, J., Zhang, H.Y., Chen, X.H., Wang, J.Q.: Simplified neutrosophic linguistic normalized weighted Bonferroni mean operator and its application to multi-criteria decision-making problems. FILOMAT (2015). doi:10.2298/FIL1508576F

    Google Scholar 

  26. Xia, M.M., Xu, Z.S., Chen, N.: Induced aggregation under confidence levels. Int. J. Uncertain. Fuzziness Knowl. Based Syst. 19(2), 201–227 (2011)

    Article  MathSciNet  Google Scholar 

  27. Xu, Z.S., Hu, H.: Projection models for intuitionistic fuzzy multiple attribute decision making. Int. J. Inf. Technol Decis. Mak. 9(2), 267–280 (2010)

    Article  MATH  Google Scholar 

  28. Feng, F., Li, Y., Leoreanu-Fotea, V.: Application of level soft sets in decision making based on interval-valued fuzzy soft. Comput. Math. Appl. 60, 1756–1767 (2010)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

This paper was supported by the National Natural Science Foundation of China (No. 71471172).

Author information

Authors and Affiliations

  1. Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, 312000, Zhejiang, People’s Republic of China

    Jun Ye

Authors
  1. Jun Ye
    View author publications

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence to Jun Ye.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ye, J. Interval Neutrosophic Multiple Attribute Decision-Making Method with Credibility Information. Int. J. Fuzzy Syst. 18, 914–923 (2016). https://doi.org/10.1007/s40815-015-0122-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40815-015-0122-4

Keywords