Constraint heterogeneous concept lattices and concept lattices with heterogeneous hedges

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• 作者：Lubomir Antoni ; ^{lubomir.antoni@upjs.sk" class="auth_mail" title="E-mail the corresponding author} ; Stanislav Krajči ^{stanislav.krajci@upjs.sk" class="auth_mail" title="E-mail the corresponding author} ; Ondrej Krí ; dlo ^{ondrej.kridlo@upjs.sk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Formal concept analysis ; Algebra ; Heterogeneous concepts ; Hedges
• 刊名：Fuzzy Sets and Systems
• 出版年：2016
• 出版时间：15 November 2016
• 年：2016
• 卷：303
• 期：Complete
• 页码：21-37
• 全文大小：456 K

文摘

The paper deals with the isomorphism between the constraint heterogeneous concept lattices and concept lattices with heterogeneous hedges. The essential point of the former approach encompasses the full diversification of data structures within a formal context. In particular, we use a different complete lattice for diverse objects, a different complete lattice for diverse attributes and a different poset for diverse matrix fields. The latter framework with heterogeneous hedges results in a reduction in the size of the corresponding concept lattice. We present the properties of constraint heterogeneous approach that is associated with the fixpoints of hedges and we add remarks to the related studies.