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Aggregation operators on cubic linguistic hesitant fuzzy numbers and their application in group decision-making

  • Aliya FahmiEmail author
  • Saleem Abdullah
  • Fazli Amin
Original Paper
  • 19 Downloads

Abstract

In this paper, we define linguistic hesitant fuzzy sets. We introduce cubic linguistic fuzzy sets and their operational laws. We propose a cubic linguistic hesitant fuzzy sets and their operational laws. We describe aggregation operators for cubic linguistic hesitant fuzzy sets which extended the generalized cubic linguistic hesitant fuzzy averaging (geometric) operator, generalized cubic linguistic hesitant fuzzy weighted averaging (GLCHFWA) operator, generalized cubic linguistic hesitant fuzzy weighted geometric (GCHFWG) operator, generalized cubic linguistic hesitant fuzzy ordered weighted average (GCLHFOWA) operator, generalized cubic linguistic hesitant fuzzy ordered weighted geometric (GCLHFOWG) operator, generalized cubic linguistic hesitant fuzzy hybrid averaging (GCLHFHA) operator and generalized cubic linguistic hesitant fuzzy hybrid geometric (GCLHFHG) operator. Moreover, we relate these aggregation operators to develop an approach to multiple-attribute group decision-making with cubic linguistic-hesitant fuzzy information. Finally, the overall ranking of an alternative is obtained. This example is presented to illustrate the feasibility and effectiveness of the proposed approach.

Keywords

Cubic linguistic fuzzy sets Aggregation operator cubic linguistic hesitant fuzzy number Multiple-attribute group decision-making 

Notes

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsHazara UniversityMansehraPakistan
  2. 2.Department of MathematicsAbdul Wali Khan University MardanMardanPakistan

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