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Non-usual orthocomplementations on partially ordered sets and fuzziness. (English) Zbl 0631.06005

The authors consider partially ordered sets with weak orthocomplementations and derive basic properties of such structures. As examples they discuss the lattice of all generalized characteristic functions (fuzzy sets) and a special class of self-adjoint bounded operators in Hilbert space (“fuzzy” projections).
Reviewer: P.Ptak

MSC:

06C15 Complemented lattices, orthocomplemented lattices and posets
06A06 Partial orders, general
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