Abstract
The problem “given the fuzzy subsets A ⊂ U, B ⊂ V and B′ ⊂ V find all A′ ⊂ U such that A′·(A×B)=B′”, where · denotes max-min composition and x denotes Cartesian product, is investigated. The condition for the existence of a solution is shown and an analytical solution is given.
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