2026-06-01T19:50:01Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/331512026-02-03T11:35:25Zcom_10630_2254col_10630_37953

00925njm 22002777a 4500 dc Bejines-López, Carlos author Ojeda Hernández, Manuel author López-Rodríguez, Domingo author 2024 Flag codes are a recent network coding strategy based on linear algebra. Fuzzy vector subspaces extend the notions of classical linear algebra. They can be seen as abstractions of flags to the point that several fuzzy vector subspaces can be identified to the same flag, which naturally induces an equivalence relation on the set of fuzzy vector subspaces. The main contributions of this work are the methodological abstraction of flags and flag codes in terms of fuzzy vector subspaces, as well as the generalisation of three distinct equivalence relations that originated from the fuzzy subgroup theory and study of their connection with flag codes, computing the number of equivalence classes in the discrete case, which represent the number of essentially distinct flags, and a comprehensive analysis of such relations and the properties of the corresponding quotient sets. Bejines, C., Ojeda-Hernández, M., & López-Rodríguez, D. (2024). Analysis of Fuzzy Vector Spaces as an Algebraic Framework for Flag Codes. Mathematics, 12(3), 498. https://hdl.handle.net/10630/33151 10.3390/math12030498 Matemáticas difusas Analysis of Fuzzy Vector Spaces as an Algebraic Framework for Flag Codes