On the cardinality of some families of discrete connectives

The computation of a closed formula for the cardinality some discrete connectives has received interest research community since beginning this class operators. This paper constitutes substantial progress in topic. First, monotonicities and other properties are related to plane partitions, concept deeply studied field combinatorics. Second, already known expressions on partitions adapted concrete connectives. With this, we establish formulas negations binary connectives; concretely, conjunctions, disjunctions implications. As well, sets implications satisfying several additional literature.