Developing Neutrosophic Cubic Spherical Fuzzy Sets along with their Exponential Aggregation Operators for Decision-Making Problems

Abstract

In this article, we have devised the notion of neutrosophic cubic spherical fuzzy sets (NCSFSs) for 
the first time and discussed their basic binary operations along with important properties. This 
proposition has been framed superimposing the existing notions of spherical neutrosophic set (SNS) 
as well as the interval-valued neutrosophic spherical fuzzy set (IVNSFS). This proposition 
computationally helps in handling incompatible situations where each element has been addressed 
by truth, indeterminacy, and false membership values. Next, some important exponential 
operational laws have been relationally established for NCSFSs, highlighting their significant 
properties. Furthermore, to address decision-making challenges in the NCSFS environment, we 
have developed exponential weighted aggregate operators based on the proposed & defined 
operational laws with important results. Finally, an algorithm for solving a decision-making 
problem has been presented by using the proposed exponential weighted aggregate operators, 
where the best site for waste material has been identified with the help of a numerical example by 
keeping the environmental factors into account. In the numerical example, we created a decision 
matrix based on experts' opinions and then applied the suggested NCSFWEA operators to a waste 
disposal site selection issue that has five alternatives and four attributes. At last, by utilizing the 
scoring function, the alternatives have been ranked. 

DOI: 10.5281/zenodo.13173139