Quadripartitioned Single Valued Neutrosophic Pythagorean Dombi Aggregate Operators in MCDM Problems

Abstract

The quadripartitioned single-valued neutrosophic set (QSVNS) is developed to understand the
concept of indeterminacy more clearly. It takes care of the diverse approaches while dealing with uncertainty
under single-valued neutrosophic environment. To make the QSVNS more functional and logical, the notion of
quadripartioned single-valued neutrosophic Pythagorean set (QSVNPS) is introduced. In QSVNPS, the
components
T C U F , , ,
are dependent in such a manner that
T F 
1,
C U 1
, and
2 2 2 2 T C U F     2 . So, the QSVNPS is a powerful framework for modeling the imprecise human
knowledge in a specific manner. To calculate the arithmetic operations, we consider the quadripartitioned
single-valued neutrosophic Pythagorean numbers (QSVNPNs) associated with QSVNPSs. The main advantage
of using QSVNPNs is that it allows the decision-makers to carry out the calculation on uncertain
parameters. The present paper aims to study Dombi operators and to establish some new Dombi weight
aggregate operators and develop some properties under QSVNPN environment for solving multi-criteria
decision-making(MCDM) problems that we encounter in our day-to-day life process. Then we define the score
and accuracy functions for ranking the QSVNPNs to choose the best-preferred alternative that goes through
under a set of certain criteria. A model for MCDM problems based on Dombi operators under QSVNPNs has
been introduced. To check the feasibility of the new approach, a numerical example is demonstrated that shows
the effectiveness of the proposed model for multi-criteria decision-making. Finally, a comparative analysis
between the rankings, obtained by using the proposed model, of the given set of alternatives under a certain set
of criteria gives the optimal choice.