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Relational correspondences for L-fuzzy rough approximations defined on De Morgan Heyting algebras (2307.16055v2)
Published 29 Jul 2023 in math.RA and cs.LO
Abstract: We consider fuzzy rough sets defined on De Morgan Heyting algebras. We present a theorem that can be used to obtain several correspondence results between fuzzy rough sets and fuzzy relations defining them. We characterize fuzzy rough approximation operators corresponding to compositions of reflexive, transitive, mediate, Euclidean and adjoint fuzzy relations defined on De Morgan Heyting algebras by using only a single axiom.
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