COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY OF L-FUZZY SETS

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SHI F.G.

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Journal Paper

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Journal: Iranian Journal of Fuzzy Systems Year:2004 | Volume:1 | Issue:1 Page(s): 79-79

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Title

COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY OF L-FUZZY SETS

Author(s)

SHI F.G. | Issue Writer Certificate

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Abstract

In this paper, countable compactness and the Lindelof property are defined for L-fuzzy sets, where L is a complete de Morgan algebra. They don*t rely on the structure of the basis lattice L and no distributivity is required in $L$. A fuzzy compact L-set is countably compact and has the Lindelof property. An L-set having the Lindelof property is countably compact if and only if it is fuzzy compact. Many characterizations of countable compactness and the Lindelof property are presented by means of open L-sets and closed L-sets when L is a completely distributive de Morgan algebra.

Cites

COUNTABLY NEAR PS-COMPACTNESS IN L-TOPOLOGICAL SPACES

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APA: Copy

SHI, F.G.. (2004). COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY OF L-FUZZY SETS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 1(1), 79-79. SID. https://sid.ir/paper/530336/en

Vancouver: Copy

SHI F.G.. COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY OF L-FUZZY SETS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2004;1(1):79-79. Available from: https://sid.ir/paper/530336/en

IEEE: Copy

F.G. SHI, “COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY OF L-FUZZY SETS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 1, no. 1, pp. 79–79, 2004, [Online]. Available: https://sid.ir/paper/530336/en

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