Concept lattices associated with interval-valued L-fuzzy contexts

Date

1995

Director

Publisher

Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión publicada / Argitaratu den bertsioa

Project identifier

Abstract

In 1882 Wille published the paper titled Restructuring lattice theory: an approach based on hierarchies of concepts, where he developed a new theory called formal concept theory. In that paper he analyzes 0/1 relations between the object and attribute sets. Applying the L-fuzzy set theory to Wille’s results, we have developed the L-fuzzy concept theory dealing with L-fuzzy relations inside 0/1 relations. The final purpose of our theory is knowledge acquisition and classification. Taking as departure point the L-fuzzy concept theory, in this paper we study contexts defined by interval-valued L-fuzzy relations between the object and attribute sets. We give a new definition of L-fuzzy concept valid for this case and analyze the structure of the L-fuzzy concept set. We apply these results to a medical example.

Description

Keywords

Knowledge acquisition and learning, Data analysis methods, Interval-valued L-fuzzy concepts

Department

Automática y Computación / Automatika eta Konputazioa

Faculty/School

Degree

Doctorate program

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