Lattice representations of interval-valued fuzzy sets

Lattice representations of interval-valued fuzzy sets

In this paper, a solution of the problem of the interval-valued fuzzy sets synthesis, is given. The codomain is considered to be a lattice of intervals. The necessary and sufficient conditions for a family of subsets to be a family of cut sets of an interval-valued fuzzy set are given.

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Bibliographische Detailangaben
Veröffentlicht in:Fuzzy sets and systems 2014-02, Vol.236, p.50-57
Hauptverfasser: Ranitovic, Marijana, Petojevic, Aleksandar
Format: Artikel
Sprache:eng
Schlagworte:
Cuts
Fuzzy
Fuzzy logic
Fuzzy set theory
Interval-valued fuzzy sets
Intervals
Lattice-valued fuzzy sets
Lattices
Representations
Synthesis
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Beschreibung
Zusammenfassung:In this paper, a solution of the problem of the interval-valued fuzzy sets synthesis, is given. The codomain is considered to be a lattice of intervals. The necessary and sufficient conditions for a family of subsets to be a family of cut sets of an interval-valued fuzzy set are given.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2013.07.006