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

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2 Citations (Scopus)

Abstract

© 2015, Pleiades Publishing, Ltd.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.
Original languageEnglish
Pages (from-to)206-211
JournalComputational Mathematics and Mathematical Physics
Issue number2
DOIs
Publication statusPublished - 2015

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Dual Cone
Finitely Generated
Cones
Cone
Line
Multicriteria Optimization
Optimization Problem

Cite this

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title = "Algorithm for recalculating the generatrix lines of a finitely generated fuzzy cone after adding a generatrix to its dual cone",
abstract = "{\circledC} 2015, Pleiades Publishing, Ltd.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.",
author = "O.V. Baskov",
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AB - © 2015, Pleiades Publishing, Ltd.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.

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