title: PC-solutions and quasi-solutions of the interval system of linear algebraic equations
metadata.name: dc.contributor.author
metadata.value: Noskov, Sergei I.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Lakeyev, Anatoly V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-10-06T10:39:00Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-10-06T10:39:00Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Noskov S. L, Lakeyev A. V. PC-solutions and quasi-solutions of the interval system of linear algebraic equations. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 3, pp. 262-276.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2021.304
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/33250
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The problem of solving the interval system of linear algebraic equations (ISLAEs) is one
  of the well-known problems of interval analysis, which is currently undergoing intensive
  development. In general, this solution represents a set, which may be given differently, de-
  pending on which quantifiers are related to the elements of the left and right sides of this
  system. Each set of solutions of ISLAE to be determined is described by the domain of
  compatibility of the corresponding system of linear inequalities and, normally, one nonlinear
  condition of the type of complementarity. It is difficult to work with them when solving
  specific problems. Therefore, in the case of nonemptiness in the process of solving the problem
  it is recommended to find a so-called PC-solution, based on the application of the technique
  known in the theory of multi-criterial choice, that presumes maximization of the solving
  capacity of the system of inequalities. If this set is empty, it is recommended to find a quasi-
  solution of ISLAE. The authors compare the approach proposed for finding PC- and/or
  quasi-solutions to the approach proposed by S. P. Shary, which is based on the application
  of the recognizing functional.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 17; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: interval system of linear algebraic equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: AE-solutions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: PC-solution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: quasi-solution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: recognizing functional
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: problem of linear programming
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: PC-solutions and quasi-solutions of the interval system of linear algebraic equations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 262-276.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/33250/1/262-276.pdf
resources.format: Adobe PDF
resources.size: 418,98 kB