Some properties of infinite fuzzy relational equations with sup-inf composition
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. (c) 2011 Elsevier Inc. All rights reserved.
fuzzy relation fuzzy relational equation solution set minimal solution