Geodesic
On positive completeness and positively closed sets of multifunctions of rank~$2$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1313-1319

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In article the problem of expressibility of multifunctions of rank $2$ by positive closure operator is considered. A necessary and sufficient condition for the positive completeness of an arbitrary set of multifunctions and all positively closed sets of multifunctions are found.
Keywords: multifunction, positive closure, completeness, $k$-valued logic.
Mots-clés : superposition 
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     author = {I. K. Sharankhaev},
     title = {On positive completeness and positively closed sets of multifunctions of rank~$2$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1313--1319},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a13/}
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I. K. Sharankhaev. On positive completeness and positively closed sets of multifunctions of rank~$2$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1313-1319. http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a13/