Results 181 to 190 of about 217 (205)

Unary operations on completely distributive complete lattices

Lecture Notes in Mathematics, 1985
exaly   +2 more sources

Approximation operators on complete completely distributive lattices

Information Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keyun Qin, Zheng Pei 0001, Jilin Yang, Yang Xu 0001   +3 more
openaire   +2 more sources

Free Distributive Completions of Partial Complete Lattices

Order, 1997
First the author gives some basic definitions and further provides a description of embedding of partial complete lattices in suitable concept lattices and its use in concept exploration. He discusses in which sense these concept lattices are freely generated by the partial complete lattices ``in the most distributive way''.
openaire   +2 more sources

Urysohn closedness on completely distributive lattices

Fuzzy Sets and Systems, 2004
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Jinming Fang, Yueli Yue
openaire   +1 more source

Metrizability Conditions for Completely Distributive Lattices

Canadian Mathematical Bulletin, 1983
AbstractA lattice is said to be essentially metrizable if it is an essential extension of a countable lattice. The main result of this paper is that for a completely distributive lattice the following conditions are equivalent: (1) the interval topology on L is metrizable, (2) L is essentially metrizable, (3) L has a doubly ordergenerating sublattice, (
Gierz, G., Lawson, J. D., Stralka, A. R.
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Rough approximations via ideal on a complete completely distributive lattice

Soft Computing, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongxia Han, Qingguo Li, Lankun Guo
openaire   +1 more source

On lattice-valued frames: The completely distributive case

Fuzzy Sets and Systems, 2010
The categories \(L\)-\(\mathsf{Frm}\) of lattice-valued frames (briefly, \(L\)-frames) were introduced by \textit{A. Pultr} and \textit{S. Rodabaugh} in [``Category theoretic aspects of chain-valued frames. I, II'', Fuzzy Sets Syst. 159, No.~5, 501--528 (2008; Zbl 1170.18004) and ibid. 529--558 (2008; Zbl 1170.18005)] for \(L\) a complete chain.
Javier Gutiérrez García, Ulrich Höhle, María Angeles de Prada-Vicente   +2 more
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On Raney's theorems for completely distributive complete lattices

Colloquium Mathematicum, 1988
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Complete almost distributive lattices

Asian-European Journal of Mathematics, 2014
In this paper, we introduce the concept of a complete almost distributive lattice (ADL), a zone and a dual zone in a complete ADL and derive their important properties.
G. C. Rao, Venugopalam Undurthi
openaire   +1 more source

Homomorphisms of complete distributive lattices

Quaestiones Mathematicae, 2000
The category of all complete distributive lattices and their complete homomorphisms is universal, and this is also true for the category of all complete distributive lattices whose morphisms preserve complete joins, finite meets and an additional nullary operation.
Pultr, A, Sichler, J, Trnková, V
openaire   +2 more sources