Nodal filters in Residuated Lattices

Mahmood Bakhshi · Journal of Intelligent & Fuzzy Systems · 2016

In this paper, we introduce the notion of a nodal filter in residuated lattices. We give several characterizations of these filters and also some relationships between these filters and other types of filters are obtained, as well. Finally, we prove that the class of all nodal filters of a residuat ed lattice forms a Heyting algebra.

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