Neutrosophic Cubic Hamacher Aggregation Operators and Their Applications inDecision Making

Abstract

In this paper, firstly, novel approaches of score function and accuracy function are introduced to achievemore practical and convincing comparison results of two neutrosophic cubic values. Furthermore, the neutrosophic cubicHamacher weighted averaging operator and the neutrosophic cubic Hamacher weighted geometric operator are developedto aggregate neutrosophic cubic values. Some desirable properties of these operators such as idempotency, monotonicityand boundedness are discussed. To deal with the multi-criteria decision making problems in which attribute valuestake the form of the neutrosophic cubic elements, the decision making algorithms based on some Hamacher aggregationoperators, which are extensions of the algebraic aggregation operators and Einstein aggregation operators, are constructed.Finally, the illustrative examples and comparisons are given to verify the proposed algorithms and to demonstrate theirpracticality and effectiveness.