Cubic Hesitant Fuzzy Sets and Their Applications to Multi Criteria Decision Making

  • Faisal Mehmood International Islamic University
  • Tahir Mahmood International Islamic University
  • Qaisar Khan International Islamic University

Abstract

In this paper we introduced cubic hesitant fuzzy set and defined internal (external) cubic hesitant fuzzy set, P(R)-union and P(R)-intersection of cubic hesitant fuzzy sets. Furthermore we defined P(R)-addition and P(R)-multiplication of cubic hesitant fuzzy sets. By using the defined operations of cubic hesitant fuzzy sets we proved their different results. We also defined R-weighted averaging and R-weighted geometric operators for cubic hesitant fuzzy sets and practiced it in multi-criteria decision making problem.

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Published
2016-05-02
How to Cite
Mehmood, F., Mahmood, T., & Khan, Q. (2016). Cubic Hesitant Fuzzy Sets and Their Applications to Multi Criteria Decision Making. International Journal of Algebra and Statistics, 5(1), 19-51. https://doi.org/10.20454/ijas.2016.1055
Section
Articles