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RESEARCH PRODUCT
Gradation of Fuzzy Preconcept Lattices
Alexander ŠOstakIngrīda UļjaneMāris Krastiņšsubject
Theoretical computer scienceLogicComputer scienceMathematics::General Mathematicsfuzzy context; fuzzy preconcept; fuzzy preconcept lattice; fuzzy concept; fuzzy concept lattice; graded fuzzy preconcept lattice0206 medical engineeringfuzzy preconceptContext (language use)02 engineering and technologyFuzzy logic0202 electrical engineering electronic engineering information engineeringFuzzy conceptMathematical Physicsfuzzy preconcept latticeAlgebra and Number TheorySeries (mathematics)lcsh:Mathematicsfuzzy contextfuzzy conceptfuzzy concept latticelcsh:QA1-939graded fuzzy preconcept latticeComputer Science::Programming Languages020201 artificial intelligence & image processingGradationGeometry and Topology020602 bioinformaticsAnalysisdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-03-22 | Axioms; Volume 10; Issue 1; Pages: 41 |