Next Article in Journal
A New Family of Boolean Functions with Good Cryptographic Properties
Next Article in Special Issue
Conditional Intuitionistic Fuzzy Mean Value
Previous Article in Journal
Generalization of the Regularization Method to Singularly Perturbed Integro-Differential Systems of Equations with Rapidly Oscillating Inhomogeneity
Previous Article in Special Issue
Hybrid Ideals of BCK/BCI-Algebras
Article

Gradation of Fuzzy Preconcept Lattices

1
Institute of Mathematics and CS University of Latvia, LV-1459 Riga, Latvia
2
Department of Mathematics, University of Latvia, LV-1004 Riga, Latvia
*
Author to whom correspondence should be addressed.
The first two authors are thankful for the partial financial support from the project No. Lzp-2020/2-0311.
Academic Editor: Salvatore Sessa
Received: 15 December 2020 / Revised: 13 March 2021 / Accepted: 15 March 2021 / Published: 22 March 2021
(This article belongs to the Special Issue Fuzzy Set Theory and Applications)
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 then the one based on fuzzy concept lattices. We consider two possible gradation methods of fuzzy preconcept lattice—an inner one, called D-gradation and an outer one, called M-gradation, study their properties, and illustrate by a series of examples, in particular, of practical nature. View Full-Text
Keywords: fuzzy context; fuzzy preconcept; fuzzy preconcept lattice; fuzzy concept; fuzzy concept lattice; graded fuzzy preconcept lattice fuzzy context; fuzzy preconcept; fuzzy preconcept lattice; fuzzy concept; fuzzy concept lattice; graded fuzzy preconcept lattice
MDPI and ACS Style

Šostak, A.; Uļjane, I.; Krastiņš, M. Gradation of Fuzzy Preconcept Lattices. Axioms 2021, 10, 41. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010041

AMA Style

Šostak A, Uļjane I, Krastiņš M. Gradation of Fuzzy Preconcept Lattices. Axioms. 2021; 10(1):41. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010041

Chicago/Turabian Style

Šostak, Alexander, Ingrīda Uļjane, and Māris Krastiņš. 2021. "Gradation of Fuzzy Preconcept Lattices" Axioms 10, no. 1: 41. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010041

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop