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
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Sprache:	eng
Schlagworte:	Lattices Representations Theorems
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creator	Amroune, Abdelaziz Oumhani, Ali
description	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.
doi_str_mv	10.3233/JIFS-151029
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title	A representation theorem for infinite fuzzy distributive lattices
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