A representation theorem for infinite fuzzy distributive lattices

A representation theorem for infinite fuzzy distributive lattices

In this paper, we show that the category of infinite fuzzy Priestley spaces is equivalent to the dual of the category of infinite fuzzy distributive lattices. A representation theorem for the infinite fuzzy distributive lattices is also given.

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Veröffentlicht in:Journal of intelligent & fuzzy systems 2017-01, Vol.32 (1), p.35-42
Hauptverfasser: Amroune, Abdelaziz, Oumhani, Ali
Format: Artikel
Sprache:eng
Schlagworte:
Lattices
Representations
Theorems
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Beschreibung
Zusammenfassung:In this paper, we show that the category of infinite fuzzy Priestley spaces is equivalent to the dual of the category of infinite fuzzy distributive lattices. A representation theorem for the infinite fuzzy distributive lattices is also given.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-151029