Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)

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Graded Fuzzy Preconcept Lattices: Theoretical Basis

Authors
Alexander Šostak, Ingrīda Uļjane, Māris Krastiņš
Corresponding Author
Alexander Šostak
Available Online 30 August 2021.
DOI
10.2991/asum.k.210827.057How to use a DOI?
Keywords
Fuzzy context, Fuzzy concept lattice, Fuzzy preconcept, Fuzzy preconcept lattice, Gradation of fuzzy preconcept lattices
Abstract

Noticing certain limitations of concept lattices in the fuzzy context, especially in view of their practical applications, in this paper we propose a more general approach based on what we call graded fuzzy preconcept lattices. We believe that this approach is more adequate for dealing with fuzzy information than the one based on fuzzy concept lattices. In this paper we develop theoretical basis for graded fuzzy preconcept lattices. Some possible applications of graded fuzzy lattices are discussed in the Conclusion section.

Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
30 August 2021
ISBN
10.2991/asum.k.210827.057
ISSN
2589-6644
DOI
10.2991/asum.k.210827.057How to use a DOI?
Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Alexander Šostak
AU  - Ingrīda Uļjane
AU  - Māris Krastiņš
PY  - 2021
DA  - 2021/08/30
TI  - Graded Fuzzy Preconcept Lattices: Theoretical Basis
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 427
EP  - 434
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.057
DO  - 10.2991/asum.k.210827.057
ID  - Šostak2021
ER  -