Geodesic
An algebra over estimation algorithms: monotone decision rules
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 10, pp. 1893-1904

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Decision rules (for recognition algorithms) with additional monotonicity constraints are investigated. It is shown that the correctness of an algorithm that uses these decision rules is equivalent to the standard notion of correctness studied in the classical works on the algebraic approach to the recognition problem. 
@article{ZVMMF_2005_45_10_a13,
     author = {A. G. D'yakonov},
     title = {An algebra over estimation algorithms: monotone decision rules},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1893--1904},
     publisher = {mathdoc},
     volume = {45},
     number = {10},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a13/}
}
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A. G. D'yakonov. An algebra over estimation algorithms: monotone decision rules. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 10, pp. 1893-1904. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a13/