Takaaki Fujita, Arif Mehmood
To address uncertainty, vagueness, and imprecision in decision-making, various extensions of classical set theory have been developed. Examples of such sets include fuzzy sets, neutrosophic sets, and plithogenic sets. A Multilinear Set consists of binary variables constrained by multilinear equations, where each auxiliary variable represents the product of selected primary binary variables. Extended concepts of the Multilinear Set using frameworks such as Fuzzy Sets have not yet been explored. To fill this gap, this paper investigates and analyzes the structures of Fuzzy Multilinear Sets, Neutrosophic Multilinear Sets, and Plithogenic Multilinear Sets.