A multi-criteria group decision making algorithm with quadripartitioned neutrosophic weighted aggregation operators using quadripartitioned neutrosophic numbers in IPQSVNSS environment

  • R. ChatterjeeEmail author
  • P. Majumdar
  • S. K. Samanta
Methodologies and Application


In this paper, quadripartitioned neutrosophic numbers (QNNs) are introduced, operations over them have been defined and some of their properties have been studied. QNNs have been implemented in defining the quadripartitioned neutrosophic weighted arithmetic averaging operator and the quadripartitioned neutrosophic weighted geometric averaging operator for ranking the final scores of the alternatives and choosing the most suitable alternative among them. The concept of interval-valued possibility quadripartitioned single-valued neutrosophic soft sets has been utilized to propose an algorithm for a multi-criteria group decision making problem. In this approach, entropy-based weights are allocated to the elements of the universe of discourse under consideration. Finally, the obtained results are compared with existing ones by means of comparative studies.


Quadripartitioned neutrosophic number Entropy Multi-criteria decision making 



The research of the first author is supported by University JRF (Junior Research Fellowship). The research of the third author is partially supported by the Special Assistance Programme (SAP) of UGC, New Delhi, India [Grant No. F 510/3/DRS-III/(SAP-I)].

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

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-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsVisva-BharatiSantiniketanIndia
  2. 2.Department of MathematicsM. U. C. Women’s CollegeBurdwanIndia

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