Review of Structured-Degree Uncertain Sets: Vector-, Matrix-, and Tensor-Valued Membership
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An Uncertain Set assigns to each element a generalized uncertainty value, providing a unified language that encompasses fuzzy, intuitionistic fuzzy, neutrosophic, plithogenic, and related models [1]. In this paper, we extend the notion of a membership function from scalar degrees to structured degrees represented by vectors, matrices, and higher-order tensors. We introduce vector-valued, matrix-valued, and tensor-valued Uncertain Sets (including the corresponding fuzzy, neutrosophic, and related special cases) and investigate their fundamental properties.