Abstract
In this paper, we extend the study of derivations on residuated lattices to residuated multilattices. Special types of derivations (implicative and multiplicative) and their connections with the complemented elements are investigated. In particular, one obtains that the good ideal derivations of a bounded residuated multilattice are completely determined by its complemented elements. Supporting examples of all the notions treated are also included.
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Maffeu, L.N., Lele, C., Nganou, J.B. et al. Multiplicative and implicative derivations on residuated multilattices. Soft Comput 23, 12199–12208 (2019). https://doi.org/10.1007/s00500-019-04184-z
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DOI: https://doi.org/10.1007/s00500-019-04184-z