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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2015 Volume 55, Number 2, Pages 207–212 (Mi zvmmf10151)

This article is cited in 2 papers

Algorithm for recalculating the generatrix lines of a finitely generated fuzzy cone after adding a generatrix to its dual cone

O. V. Baskov

St. Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia

Abstract: 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.

Key words: fuzzy set theory, fuzzy cone, algorithm for finding generatrix lines of the dual of a fuzzy cone, multicriteria optimization.

UDC: 519.658

Received: 08.11.2013

DOI: 10.7868/S0044466915020040


 English version:
Computational Mathematics and Mathematical Physics, 2015, 55:2, 206–211

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