Completely lattice L-ordered sets with and without L-equality

Martinek, Pavel

Title:

Author:

Martinek, Pavel

Document type:

Peer-reviewed article (English)

Source document:

Fuzzy Sets and Systems. 2011-03-16, vol. 166, issue 1, p. 44-55

ISSN:

0165-0114 (Sherpa/RoMEO, JCR)

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DOI:

https://doi.org/10.1016/j.fss.2010.11.003

Abstract:

A relationship between L-order based on an L-equality and L-order based on crisp equality is explored in detail. This enables to clarify some properties of completely lattice L-ordered sets and generalize some related assertions. Namely, Belohlavek's main theorem of fuzzy concept lattices is generalized as well as his theorem dealing with Dedekind-MacNeille completion. Analogously, completion of an L-ordered set via completely lattice L-ordered set of all down-L-sets is described. (C) 2010 Elsevier B.V. All rights reserved.

Full text:

https://www.sciencedirect.com/science/article/pii/S0165011410004549

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Citace článku v časopise:
MARTINEK, Pavel. Completely lattice L-ordered sets with and without L-equality. Fuzzy Sets and Systems [online]. 2011, vol. 166, iss. 1, s. 44-55. [cit. 2024-07-05]. ISSN 0165-0114. Dostupné z: https://www.sciencedirect.com/science/article/pii/S0165011410004549.

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