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Multiple attribute group decision making based on weighted aggregation operators of triangular neutrosophic cubic fuzzy numbers

  • Aliya FahmiEmail author
  • Fazli Amin
  • Hidayat Ullah
Original Paper
  • 32 Downloads

Abstract

In this paper, we define the new concepts of a triangular neutrosophic cubic fuzzy number (TNCFN), the basic operational laws of TNCFNs, and the score function of TNCFNs. Then, we develop a triangular neutrosophic cubic fuzzy weighted arithmetic averaging (TNCFWAA) operator and a triangular neutrosophic cubic fuzzy weighted geometric averaging (TNCFWGA) operator to aggregate triangular neutrosophic cubic fuzzy number (TNCFN) information and investigate their properties. Furthermore, a multiple attribute decision-making method based on the triangular neutrosophic cubic fuzzy weighted arithmetic averaging (TNCFWAA) operator and triangular neutrosophic cubic fuzzy weighted geometric averaging (TNCFWGA) operator and the score function of triangular neutrosophic cubic fuzzy number (TNCFN) is established under a triangular neutrosophic cubic fuzzy number (TNCFN) environment. Finally, an illustrative example of investment alternatives is given to demonstrate the application and effectiveness of the developed approach.

Keywords

Triangular neutrosophic cubic fuzzy number Score function Triangular neutrosophic cubic fuzzy weighted arithmetic averaging (TNCFWAA)  operator Triangular neutrosophic cubic fuzzy weighted geometric averaging (TNCFWGA) operator Multiple attribute decision making 

Notes

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interests regarding the publication of this paper.

Ethical standards

This study is not supported by any source or any organizations. This article does not contain any studies with human participants or animals performed by any of the authors.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsHazara UniversityMansehraPakistan

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