Geodesic
On cardinality of some subclasses of monotone functions
Diskretnaya Matematika, Tome 17 (2005) no. 4, pp. 81-97 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the classes of functions of $n$ variables which are intersections of the class $M$ of monotone functions and other precomplete classes in three-valued logic. We find the asymptotic behaviour of the logarithm of cardinality of such classes as $n\to\infty$. 
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D. V. Khovratovich. On cardinality of some subclasses of monotone functions. Diskretnaya Matematika, Tome 17 (2005) no. 4, pp. 81-97. http://geodesic.mathdoc.fr/item/DM_2005_17_4_a7/

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[2] Alekseev V. B., “O chisle monotonnykh $k$-znachnykh funktsii”, Problemy kibernetiki, 28 (1974), 5–24 | MR | Zbl

[3] Kleitmen D., “O probleme Dedekinda: chislo monotonnykh bulevykh funktsii”, Kibern. sb., 7 (1970), 43–52