Abstract
In this paper, we use two approaches to define the concept of fuzzy nominal sets: classic and universal algebraic. We see that the fuzzy nominal sets obtained using the universal algebraic approach (so-called fuzzy nominal sets) are within finitely supported mathematics, whereas the fuzzy nominal sets derived using the classical approach (so-called fuzzy nominal (nu _{_{textrm{supp}}})-sets) are within ordinary mathematics and each fuzzy nominal set can be considered as a fuzzy nominal (nu _{textrm{supp}})-set. We also go over the presheaf representation of fuzzy nominal sets and some other properties of these various types of fuzzy nominal sets.
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Razmara, N.S., Haddadi, M. & Keshvardoost, K. Fuzzy nominal sets. Soft Comput (2024). https://doi.org/10.1007/s00500-024-09709-9
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DOI: https://doi.org/10.1007/s00500-024-09709-9