Ambiguous representations of semilattices and imperfect information
Category Theory
2019-04-29 v1 General Topology
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.
Keywords
Cite
@article{arxiv.1904.11736,
title = {Ambiguous representations of semilattices and imperfect information},
author = {Oleh Nykyforchyn and Oksana Mykytsey},
journal= {arXiv preprint arXiv:1904.11736},
year = {2019}
}