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arXiv · 1904.11736

Ambiguous representations of semilattices and imperfect information

Oleh Nykyforchyn·Oksana Mykytsey
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Abstract

Crisp and lattice-valued ambiguous representations of one continuous semilattice in another one are introduced and operation of taking pseudo-inverse of the above relations is defined. It is shown that continuous semilattices and their ambiguous representations, for which taking pseudo-inverse is involutive, form categories. Self-dualities and contravariant equivalences for these categories are obtained. Possible interpretations and applications to processing of imperfect information are discussed.

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Oleh Nykyforchyn, Oksana Mykytsey. 2019-04-26. Ambiguous representations of semilattices and imperfect information. https://arxiv.org/abs/1904.11736

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