Neutrosophic Sets and Systems
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.
Recommended Citation
Yadav, Monika; Rakesh Kumar Bajaj; and Aman Sharma. "Developing Neutrosophic Cubic Spherical Fuzzy Sets along with their Exponential Aggregation Operators for Decision-Making Problems." Neutrosophic Sets and Systems 70, 1 (2024). https://digitalrepository.unm.edu/nss_journal/vol70/iss1/12
