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ELECTRE II method based on the cosine similarity to evaluate the performance of financial logistics enterprises under double hierarchy hesitant fuzzy linguistic environment

Fuzzy Optimization and Decision Making (2022)Cite this article

Abstract

It is very common to use linguistic information to solve decision-making problems in real life, and the double hierarchy hesitant fuzzy linguistic term set (DHHFLTS) has been widely used because of its powerful ability of expressing complex linguistic information. There is no doubt that the comparison method of double hierarchy hesitant fuzzy linguistic elements (DHHFLEs) not only occupies an important theoretical and practical position, but also is the basis for further study of DHHFLTSs. However, the existing comparison methods of DHHFLEs still have some limitations. Therefore, this paper proposes a new DHHFLE comparison method, which is an improvement and perfection of the existing DHHFLE comparison methods. In addition, considering that the current research on distance and similarity measures of DHHFLEs is mostly based on the algebraic point of view, this paper proposes a cosine similarity measure of DHHFLEs, which fills the gap in the study of distance and similarity measures from the geometric point of view. Then, the cosine similarity-based DHHFL-ELECTRE II method is proposed to solve the multi-attribute decision-making (MADM) problem in the double hierarchy hesitant fuzzy linguistic environment. Finally, this method is used to solve a MADM problem in the performance evaluation of financial logistics enterprises. The results show that the proposed method has certain applicability and feasibility.

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References

  • Figueira, J. R., Greco, S., Roy, B., & Słowiński, R. (2010). ELECTRE methods: Main features and recent developments. In C. Zopounidis & P. Pardalos (Eds.), Handbook of multicriteria analysis. Applied optimization (Vol. 103, pp. 51–89). Springer.

    Chapter  Google Scholar 

  • Gou, X. J., Liao, H. C., Xu, Z. S., & Herrera, F. (2017). Double hierarchy hesitant fuzzy linguistic term set and MULTIMOORA method: A case of study to evaluate the implementation status of haze controlling measures. Information Fusion, 38, 22–34.

    Article  Google Scholar 

  • Gou, X. J., Liao, H. C., Xu, Z. S. & Herrera, F. (2021). Probabilistic double hierarchy linguistic term set and its use in designing an improved VIKOR method: The application in smart healthcare. Journal of the Operational Research Society, 72(12), 2611–2630.

    Article  Google Scholar 

  • Gou, X. J., & Xu, Z. S. (2019). Research on decision-making methods with double hierarchy hesitant fuzzy linguistic preferences. Sichuan University.

    Google Scholar 

  • Gou, X. J., & Xu, Z. S. (2021). Double hierarchy linguistic term set and its extensions: The state-of-the-art survey. International Journal of Intelligent Systems, 36(2), 832–865.

    Google Scholar 

  • Gou, X. J., Xu, Z. S., Liao, H. C., & Herrera, F. (2018). Multiple criteria decision making based on distance and similarity measures with double hierarchy hesitant fuzzy linguistic environment. Computers & Industrial Engineering, 126, 516–530.

    Article  Google Scholar 

  • Li, D. Q., Zeng, W. Y., & Li, J. H. (2015). New distance and similarity measures on hesitant fuzzy sets and their applications in multiple criteria decision making. Engineering Applications of Artificial Intelligence, 40, 11–16.

    Article  Google Scholar 

  • Liao, H. C., Wu, X. L., Mi, X. M., & Herrera, F. (2020). An integrated method for cognitive complex multiple experts multiple criteria decision making based on ELECTRE III with weighted Borda rule. Omega, 93, 102052.

    Article  Google Scholar 

  • Liu, N. N., He, Y., & Xu, Z. S. (2019). Evaluate public-private-partnership’s Advancement using double hierarchy hesitant fuzzy linguistic PROMETHEE with subjective and objective information from stakeholder perspective. Technological and Economic Development of Economy, 25(3), 386–420.

    Article  Google Scholar 

  • Liu, X. Y., Wang, X. L., Qu, Q. X., & Zhang, L. (2018). Double hierarchy hesitant fuzzy linguistic mathematical programming method for MAGDM based on Shapley values and incomplete preference information. IEEE Access, 6, 74162–74179.

    Article  Google Scholar 

  • Morente-Molinera, J. A., Pérez, I. J., Ureña, M. R., & Herrera-Viedma, E. (2015). On multi-granular fuzzy linguistic modeling in group decision making problems: A systematic review and future trends. Knowledge-Based Systems, 74, 49–60.

    Article  Google Scholar 

  • Nadya, R., Lucas, D., & Luiz, C. (2018). A group decision approach for supplier categorization based on hesitant fuzzy and ELECTRE TRI. International Journal of Production Economics, 202, 182–196.

    Article  Google Scholar 

  • Rashid, T., Faizi, S., & Xu, Z. (2018). ELECTRE-based outranking method for multi-criteria decision making using hesitant intuitionistic fuzzy linguistic term sets. International Journal of Fuzzy Systems, 20, 78–92.

    MathSciNet  Article  Google Scholar 

  • Rodríguez, R. M., Martínez, L., & Herrera, F. (2012). Hesitant fuzzy linguistic term sets for decision-making. IEEE Transactions on Fuzzy Systems, 20, 109–119.

    Article  Google Scholar 

  • Roy, B., & Bertier, P. (1971). La methode ELECTREII: Une methode de classement en presence de criteres multiples. SEMA (Metra International) Paris, 142.

  • Roy, B. (1968). Classement et choix en présence de points de vue multiples (la méthode ELECTRE). Revue Française D’informatique et de Recherche Opérationnelle, 2(8), 57–75.

    Article  Google Scholar 

  • Roy, B. (1996). Multicriteria methodology goes decision aiding. Kluwer Academic.

    Book  Google Scholar 

  • Roy, B., & Hugonnard, J. C. (1982). Ranking of suburban line extension alternatives on the paris metro system by a multicriteria method. Transportation Research Part A General, 16A(4), 301–312.

    Article  Google Scholar 

  • Salton, G., & McGill, M. J. (1983). Introduction to modern information retrieval. McGraw-Hill Book Company.

    MATH  Google Scholar 

  • Shen, C. (2009). The research on financial logistics management system (Doctoral dissertation) Tianjin University.

  • Wang, X. D., Gou, X. J., & Xu, Z. S. (2020). Assessment of traffic congestion with ORESTE method under double hierarchy hesitant fuzzy linguistic environment. Applied Soft Computing, 86, 105864.

    Article  Google Scholar 

  • Wang, J. H., & Hao, J. (2006). A new version of 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems, 14, 435–445.

    Article  Google Scholar 

  • Wu, M. C., & Chen, T. Y. (2011). The ELECTRE multicriteria analysis approach based on Atanassov’s intuitionistic fuzzy sets. Expert Systems with Applications, 38(10), 12318–21232.

    Article  Google Scholar 

  • Ye, J. (2011). Cosine similarity measures for intuitionistic fuzzy sets and their applications. Mathematical and Computer Modelling, 53(1–2), 91–97.

    MathSciNet  Article  Google Scholar 

  • Zadeh, L. A. (2012). Computing with words: What is computing with words (CWW)? Springer.

    Book  Google Scholar 

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Acknowledgements

This study was funded by the National Natural Science Foundation of China (No. 71771155).

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Authors and Affiliations

  1. Business School, Sichuan University, Chengdu, 610064, Sichuan, China

    Ruichen Zhang, Zeshui Xu & Xunjie Gou

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  1. Ruichen Zhang
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  2. Zeshui Xu
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  3. Xunjie Gou
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Correspondence to Zeshui Xu.

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Zhang, R., Xu, Z. & Gou, X. ELECTRE II method based on the cosine similarity to evaluate the performance of financial logistics enterprises under double hierarchy hesitant fuzzy linguistic environment. Fuzzy Optim Decis Making (2022). https://doi.org/10.1007/s10700-022-09382-3

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  • DOI: https://doi.org/10.1007/s10700-022-09382-3

Keywords

  • Double hierarchy hesitant fuzzy linguistic term set
  • Cosine similarity
  • Cosine similarity-based DHHFL-ELECTRE II method
  • Multi-attribute decision-making
  • Financial logistics enterprise performance evaluation