Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (2)

Search Parameters:
Keywords = fuzzy preconcept lattice

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
16 pages, 326 KB  
Article
Fuzzy Algebras of Concepts
by Manuel Ojeda-Hernández, Domingo López-Rodríguez and Pablo Cordero
Axioms 2023, 12(4), 324; https://doi.org/10.3390/axioms12040324 - 26 Mar 2023
Viewed by 1803
Abstract
Preconcepts are basic units of knowledge that form the basis of formal concepts in formal concept analysis (FCA). This paper investigates the relations among different kinds of preconcepts, such as protoconcepts, meet and join-semiconcepts and formal concepts. The first contribution of this paper, [...] Read more.
Preconcepts are basic units of knowledge that form the basis of formal concepts in formal concept analysis (FCA). This paper investigates the relations among different kinds of preconcepts, such as protoconcepts, meet and join-semiconcepts and formal concepts. The first contribution of this paper, is to present a fuzzy powerset lattice gradation, that coincides with the preconcept lattice at its 1-cut. The second and more significant contribution, is to introduce a preconcept algebra gradation that yields different algebras for protoconcepts, semiconcepts, and concepts at different cuts. This result reveals new insights into the structure and properties of the different categories of preconcepts. Full article
(This article belongs to the Special Issue Non-classical Logics and Related Algebra Systems)
Show Figures

Figure 1

18 pages, 360 KB  
Article
Gradation of Fuzzy Preconcept Lattices
by Alexander Šostak, Ingrīda Uļjane and Māris Krastiņš
Axioms 2021, 10(1), 41; https://doi.org/10.3390/axioms10010041 - 22 Mar 2021
Cited by 10 | Viewed by 2585
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue Fuzzy Set Theory and Applications)
Back to TopTop