Some properties of infinite fuzzy relational equations with sup-inf composition

  • Authors:
  • Qing-Quan Xiong;Xue-Ping Wang

  • Affiliations:
  • -;-

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2013

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Abstract

This paper deals with infinite fuzzy relational equations with sup-inf composition. First, some properties of them are investigated. Then some necessary and sufficient conditions for the existence of attainable solutions (resp. unattainable solutions and partially attainable ones) are given if the solution set is nonempty. Finally, the set of attainable solutions is described.