Ambiguous representations as fuzzy relations between sets

Oleh Nykyforchyn; Dušan Repovš

doi:10.1016/j.fss.2011.02.007

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arXiv · 1108.1069

Ambiguous representations as fuzzy relations between sets

Oleh Nykyforchyn·Dušan Repovš

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Abstract

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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BibTeX RIS

Oleh Nykyforchyn, Dušan Repovš. 2011-08-05. Ambiguous representations as fuzzy relations between sets. https://doi.org/10.1016/j.fss.2011.02.007

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