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Description
  • In this paper, we consider the problem of solving systems of fuzzy relation equations. Two types of these systems with different compositions are considered and processed simultaneously. A new sufficient condition and new solvability criteria are proposed for systems of both types. All these conditions are finitary and thus can be easily verified. The sufficient condition and criteria of solvability characterize a relationship between a skeleton $n\times n$ matrix ($n$ is a number of equations) and a vector of the right-hand side.
  • In this paper, we consider the problem of solving systems of fuzzy relation equations. Two types of these systems with different compositions are considered and processed simultaneously. A new sufficient condition and new solvability criteria are proposed for systems of both types. All these conditions are finitary and thus can be easily verified. The sufficient condition and criteria of solvability characterize a relationship between a skeleton $n\times n$ matrix ($n$ is a number of equations) and a vector of the right-hand side. (en)
Title
  • Finitary Solvability Conditions for Systems of Fuzzy Relation Equations
  • Finitary Solvability Conditions for Systems of Fuzzy Relation Equations (en)
skos:prefLabel
  • Finitary Solvability Conditions for Systems of Fuzzy Relation Equations
  • Finitary Solvability Conditions for Systems of Fuzzy Relation Equations (en)
skos:notation
  • RIV/61988987:17610/13:A130104F!RIV13-AV0-17610___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA108270902), Z(MSM6198898701)
http://linked.open...iv/cisloPeriodika
  • 234
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 75121
http://linked.open...ai/riv/idVysledku
  • RIV/61988987:17610/13:A130104F
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • system of fuzzy relation equations; similarity; fuzzy preorder; criterion of solvability; skeleton system; skeleton matrix (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [76519635C10A]
http://linked.open...i/riv/nazevZdroje
  • INFORM SCIENCES
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Perfiljeva, Irina
http://linked.open...n/vavai/riv/zamer
issn
  • 0020-0255
number of pages
http://localhost/t...ganizacniJednotka
  • 17610
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