Hierarchies generated for data represented by fuzzy ternary relations

Authors:
Narcis Clara
Affiliations:
Universitat de Girona, Departament d'Informàtica i Matemàtica Aplicada, Girona, Spain
Venue:
ICS'09 Proceedings of the 13th WSEAS international conference on Systems
Year:
2009

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Abstract

The paper deals with a particular kind of analysis of data which, in the basic setting, has the form of a three dimensional table. The main aim is to analyze how the concepts and results of Fuzzy Formal Concept Analysis for fuzzy binary relations can be generalized to fuzzy ternary relations. A structure of hierarchies is obtained starting from the a-cuts of the fuzzy ternary relation. Finally, properties of projections, cylindric extensions and their compositions complement the work.