Application of Information Measures in Multiple Criteria Decision Making

  • Bahram Farhadinia
  • Zeshui Xu
Part of the Uncertainty and Operations Research book series (UOR)


We are intended to present a number of studies that focus on the distance measure, the similarity measure and the entropy measure for HFSs and some extensions of HFS. All we know that the information measures for HFSs and their extensions are fundamentally important in various fields such as decision making, market prediction, pattern recognition and cluster analysis.


  1. 1.
    C. Kahraman, I. Kaya, A fuzzy multicriteria methodology for selection among energy alternatives. Exp. Syst. Appl. 37, 6270–6281 (2010)CrossRefGoogle Scholar
  2. 2.
    Z.S. Xu, M.M. Xia, Distance and similarity measures for hesitant fuzzy sets. Inf. Sci. 181, 2128–2138 (2011)CrossRefGoogle Scholar
  3. 3.
    L.A. Zadeh, Fuzzy sets. Inf. Comput. 8, 338–353 (1965)Google Scholar
  4. 4.
    B. Farhadinia, Distance and similarity measures for higher order hesitant fuzzy sets. Knowl.-Based Syst. 55, 43–48 (2014)CrossRefGoogle Scholar
  5. 5.
    N. Chen, Z.S. Xu, M.M. Xia, Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis. Appl. Math. Model. 37, 2197–2211 (2013)CrossRefGoogle Scholar
  6. 6.
    B. Farhadinia, Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets. Inf. Sci. 240, 129–144 (2013)CrossRefGoogle Scholar
  7. 7.
    Z.S. Xu, J. Chen, J.J. Wu, Clustering algorithm for intuitionistic fuzzy sets. Inf. Sci. 178, 3775–3790 (2008)CrossRefGoogle Scholar
  8. 8.
    R.M. Rodriguez, L. Martinez, F. Herrera, Hesitant fuzzy linguistic term sets for decision making. IEEE Trans. Fuzzy Syst. 20, 109–119 (2012)CrossRefGoogle Scholar
  9. 9.
    H.C. Liao, Z.S. Xu, X.J. Zeng, Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making. Inf. Sci. 271, 125–142 (2014)CrossRefGoogle Scholar
  10. 10.
    J. Ye, Multiple attribute group decision-making methods with completely unknown weights in intuitionistic fuzzy setting and interval-valued intuitionistic fuzzy setting. Group Decis. Negot. 22, 173–188 (2013)CrossRefGoogle Scholar
  11. 11.
    G. Zhang, J. Ma, J. Lu, Emergency management evaluation by a fuzzy multi-criteria group decision support system. Stoch. Env. Res. Risk Assess. 23, 517–527 (2009)CrossRefGoogle Scholar
  12. 12.
    L. Wang, X. Zheng, L. Zhang, Q. Yue, Notes on distance and similarity measures of dual hesitant fuzzy sets, Int. J. Appl. Math. 46 (2016) IJAM-46-4-11Google Scholar
  13. 13.
    C. Bachmaier, F.J. Brandenburg, A. Gleibner, A. Hofmeier, On the hardness of maximum rank aggregation problems. J. Discret. Algorithms 31, 2–13 (2015)CrossRefGoogle Scholar

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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Quchan University of TechnologyQuchanIran
  2. 2.Business SchoolSichuan UniversityChengduChina

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