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

Abstract

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.