Algorithm for recalculating the generatrix lines of a finitely generated fuzzy cone after adding a generatrix to its dual cone
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 2, pp. 207-212
Cet article a éte moissonné depuis la source Math-Net.Ru
The problem of finding the generatrix lines of a fuzzy cone that is dual to a given finitely generated fuzzy cone is studied. Given the generatrix lines of mutually dual fuzzy cones, one or several generatrix lines are added to one of them. An algorithm for finding the generatrix lines of its dual fuzzy cone is described. The algorithm can be applied to multicriteria optimization problems.
@article{ZVMMF_2015_55_2_a5,
author = {O. V. Baskov},
title = {Algorithm for recalculating the generatrix lines of a finitely generated fuzzy cone after adding a generatrix to its dual cone},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {207--212},
year = {2015},
volume = {55},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_2_a5/}
}
TY - JOUR AU - O. V. Baskov TI - Algorithm for recalculating the generatrix lines of a finitely generated fuzzy cone after adding a generatrix to its dual cone JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2015 SP - 207 EP - 212 VL - 55 IS - 2 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_2_a5/ LA - ru ID - ZVMMF_2015_55_2_a5 ER -
%0 Journal Article %A O. V. Baskov %T Algorithm for recalculating the generatrix lines of a finitely generated fuzzy cone after adding a generatrix to its dual cone %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2015 %P 207-212 %V 55 %N 2 %U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_2_a5/ %G ru %F ZVMMF_2015_55_2_a5
O. V. Baskov. Algorithm for recalculating the generatrix lines of a finitely generated fuzzy cone after adding a generatrix to its dual cone. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 2, pp. 207-212. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_2_a5/
[1] Chernikov S. N., Lineinye neravenstva, Nauka, M., 1968
[2] Noghin V. D., Baskov O. V., “Pareto set reduction based on an arbitrary finite collection of numerical information on the preference relation”, Dokl. Akademii Nauk, 438:4 (2011), 456–459
[3] Elsaid E. A., “Some properties of convex fuzzy sets and convex fuzzy cones”, Fuzzy Sets and Systems, 106 (1999), 381–386 | DOI
[4] Biacino L., “An extension principle for closure operators”, J. Math. Analysis and Appl., 198 (1996), 1–24 | DOI
[5] Zadeh L. A., “Fuzzy sets”, Information Control, 8 (1965), 338–353 | DOI