Ambiguous representations as fuzzy relations between sets

Details Ambiguous representations as fuzzy relations between sets Ambiguous representations as fuzzy relations between sets

2011-08-04

arxiv.org/abs/1108.1069v2

Fuzzy Sets and Systems 173:1 (2011), 25-44

Mathematics

Category Theory

Scientific paper

10.1016/j.fss.2011.02.007

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.

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