ωθ-Convergence theory of filters in Lω-spaces - Details

author：

Chen, S.-L. (Chen, S.-L..) ^[1] | Cai, G.-R. (Cai, G.-R..) ^[2] | Chen, G.-L. (Chen, G.-L..) ^[3] | Guo, W.-Z. (Guo, W.-Z..) ^[4]

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Abstract：

In　this　paper,　the　concepts　of　ωθ-closed　sets　and　ωθ-open　sets　in　L　?-spaces　are　introduced,　and　the　ωθ-convergence　theory　of　filters　in　an　Lω-space　is　established.　By　means　of　the　ωθ-convergence　theory,　some　important　characterizations　with　respective　to　the　ωθ-closed　sets,　ωT2　separation　and　(ω1,　ω2)　θ-continuous　mappings　are　obtained.　©　2008　IEEE.

Keyword：

ωθ- convergence; Filter; Fuzzy lattice; Fuzzy mapping; Lω-space

Community：

[ 1 ] [Chen, S.-L.]School of Sciences, Jimei University, Xiamen, Fjian Province, 361021, China
[ 2 ] [Cai, G.-R.]School of Sciences, Jimei University, Xiamen, Fjian Province, 361021, China
[ 3 ] [Chen, G.-L.]College of Methematics and Computer Science, Fuzhou University, Fuzhou, Fujian Province, 360002, China
[ 4 ] [Guo, W.-Z.]College of Methematics and Computer Science, Fuzhou University, Fuzhou, Fujian Province, 360002, China

Reprint 's Address：

[Chen, S.-L.]School of Sciences, Jimei University, Xiamen, Fjian Province, 361021, China

Email：

sgzx@jmu.edu.cn

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Source ：

Proceedings - 5th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2008

Year： 2008

Volume： 1

Page： 489-493

Language： English

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