p-Topologicalness and p-regularity for lattice-valued convergence spaces

In this paper, p-topologicalness and p-regularity for Jägerʼs stratified L-generalized convergence spaces and those for Boustique et al.ʼs stratified L-convergence spaces are studied through two different methods. One method generalizes the well-known Fischerʼs (dual) diagonal condition, the other m...

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Veröffentlicht in:	Fuzzy sets and systems 2014-03, Vol.238, p.26-45
Hauptverfasser:	Li, Lingqiang, Jin, Qiu
Format:	Artikel
Sprache:	eng
Schlagworte:	Closure (neighborhood) L-filter Closures Construction Convergence Diagonal axiom Fuzzy set theory Lattice-valued convergence space p-Regular p-Topological
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creator	Li, Lingqiang Jin, Qiu
description	In this paper, p-topologicalness and p-regularity for Jägerʼs stratified L-generalized convergence spaces and those for Boustique et al.ʼs stratified L-convergence spaces are studied through two different methods. One method generalizes the well-known Fischerʼs (dual) diagonal condition, the other method uses the (neighborhood) closure of stratified L-filter. In addition, the p-topologicalness and p-regularity w.r.t. initial constructions and final constructions are also discussed.
doi_str_mv	10.1016/j.fss.2013.08.012
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subjects	Closure (neighborhood) L-filter Closures Construction Convergence Diagonal axiom Fuzzy set theory Lattice-valued convergence space p-Regular p-Topological
title	p-Topologicalness and p-regularity for lattice-valued convergence spaces
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