Affiliations: Department of Statistics and Operational Research, University of Oviedo, Campus of Gijón, Gijón, Spain
Correspondence:
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Corresponding author. Susana Montes, Department of Statistics and Operational Research, University of Oviedo, Campus of Gijón, 33203 Gijón, Spain. Tel.: +34 985 18 2133; Fax: +34 985 18 1902; E-mail: [email protected]
Note: [1] The research reported in this paper has been supported by Project TIN2014-59543-P of the Spanish Ministry of Economy.
Abstract: Partitions are at the basis of many processes as classification. They are classically defined in the context of crisp sets. However, partitions based on fuzzy sets have been proven to be more useful in real-life problems. This has motivated several different proposals to extend the definition of partition to the fuzzy sets context. Nevertheless, fuzzy sets evaluated in the real interval [0, 1] are still a too restrictive context for some problems. In this contribution we propose a generalization of the notion of partition based on lattices valued sets. We also study some of their properties.
