Multi-Attribute Decision Making Based on the Similarity Degree of Ternary Interval Numbers

Abstract:

For multi-attribute decision making problems whose attribute values are ternary interval numbers and their weights and attribute values are not fully, this paper proposes a decision-making method based on the similarity degree of ternary interval numbers. Firstly, utilizing the closeness theory of fuzzy sets, we give the corresponding axiomatic definition of ternary interval numbers and obtain the corresponding calculation formula of similarity degree. Then, according to the basic idea of traditional TOPSIS method, we establish the multi-attribute decision making and give the general steps of solving multi-attribute decision making problems. Finally, the paper demonstrates the effectiveness and practicality of the method by the example analysis.

• Periodical: Advanced Materials Research (Volumes 926-930)
• Pages: 3092-3095
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.926-930.3092
• Online since: May 2014
• Authors: Guo Feng Liu, Li Guo, Yue Bao*
• Keywords: Close Degree, Multi-Attribute Decision Making, Ternary Interval Numbers

References

[1] D. Luo: Systems Engineering Theory & Practice, Vol. 29 (2009) No. 1, pp.124-130.

[2] Q.Z. Hu, W.H. Zhang: Statistics and Decision, Vol. 24 (2007), pp.26-28.

[3] Q.Z. Hu, W.H. Zhang and L. Yu : Engineering Science, Vol. 3 (2007), pp.47-51.

[4] J. Lin, Y. Jiang: Journal of Shandong University ( Natural Science). Vol. 7 (2011), pp.65-69.

[5] Q.Z. Hu, W.H. Zhang: Research and Application of Interval Number Theory (Science Press , China 2010).

[6] C.L. Yang, C.F. Zhang and W.C. Xu: Mathematics in Practice and Theory. Vol. 40 (2010) No. 21, pp.148-154.

[7] Y.J. Xu, Q.L. Da: Systems Engineering and Electronics, Vol. 29 (2007) No. 9, pp.1469-1471.