Ambiguous representations as fuzzy relations between sets
Crisp and L-fuzzy ambiguous representations of closed subsets of one space by closed subsets of another space are introduced. It is shown that, for each pair of compact Hausdorff spaces, the set of (crisp or L-fuzzy) ambiguous representations is a lattice and a compact Hausdorff Lawson upper semilattice. The categories of ambiguous and L-ambiguous representations are defined and investigated. (C) 2011 Elsevier B.V. All rights reserved.
fuzzy relation category theory compactum non-additive measure lawson lattice