Geodesic
Incomparable integrals and approximate calculation of monotone Boolean functions
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2017), pp. 51-55

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The number of incomparable $k$-dimensional intervals in the Boolean $n$-cube is estimated. The result is used to estimate the complexity of approximate computation of an arbitrary monotone Boolean function of $n$ variables. 
@article{VMUMM_2017_5_a8,
     author = {A. V. Chashkin},
     title = {Incomparable integrals and approximate calculation of monotone {Boolean} functions},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {51--55},
     publisher = {mathdoc},
     number = {5},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_5_a8/}
}
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A. V. Chashkin. Incomparable integrals and approximate calculation of monotone Boolean functions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2017), pp. 51-55. http://geodesic.mathdoc.fr/item/VMUMM_2017_5_a8/