NEW AGGREGATION OPERATORS OF Α-CUTS WITH NEUTROSOPHIC Z-NUMBERS AND THEIR PROPERTIES

Abstract

 The proposed model is a novel Multi-Criteria Decision-Making (MCDM) approach that modifies the neutrosophic Z-numbers set using the α-cut technique, referred to as α-cut Neutrosophic Z-numbers (αNZN) model. This method generalizes different classical fuzzy set approaches. This study also introduces the fundamental explanations of union, intersection, and complement of the α-cut sets of neutrinos called z-numbers, and explores their properties associated with arithmetic operations. This work presents a prosecution of relevant examples to enhance the clarity and the comprehension of the subject. Additionally, two new aggregation operators, namely; the α-cut Neutrosophic Z-numbers Weighted Average (αNZN-WA) and α-cut Neutrosophic Z-numbers Weighted Geometric (αNZN-WG) are proposed using the α-cut method to incorporate uncertainty represented as interval numbers. Furthermore, a scoring scheme is also formulated to rank alternatives more effectively.