ω-Convergence theory of filters in Lω -spaces

In this paper, an ω -convergence theory of filters in an Lω -space is established. By means of the ω -convergence theory, some important characterizations with respective to the ω -closed sets, ω T 2 separation and ( ω 1 , ω 2 )-continuous mappings are obtained. Moreover, the mutual relationships am...

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Bibliographic Details
Published inFuzzy optimization and decision making Vol. 7; no. 4; pp. 351 - 360
Main Authors Chen, Shui-Li, Chen, Guo-Long, Zhang, Jian-Cheng
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.12.2008
Subjects
Artificial Intelligence
Calculus of Variations and Optimal Control; Optimization
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Probability Theory and Stochastic Processes
Fuzzy mapping
Filter
Ideal
space
Fuzzy lattice
Molecular net
Convergence
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Summary:In this paper, an ω -convergence theory of filters in an Lω -space is established. By means of the ω -convergence theory, some important characterizations with respective to the ω -closed sets, ω T 2 separation and ( ω 1 , ω 2 )-continuous mappings are obtained. Moreover, the mutual relationships among ω -convergence of molecular nets, ω -convergence of ideals and ω -convergence of filters are given.
ISSN:1568-4539
1573-2908
DOI:10.1007/s10700-008-9043-0