Characterizations of minimal T3 L-fuzzy topological spaces

Sheng Gang Li; Zong Ben Xu

doi:10.1016/S0020-0255(00)00024-4

Characterizations of minimal T₃ L-fuzzy topological spaces

Sheng Gang Li
, Zong Ben Xu

School of Mathematics and Statistics

Shaanxi Normal University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Let L be a completely distributive complete lattice, and X a nonempty set. Then L^X is also a completely distributive complete lattice. In this paper, we will prove the existence and a characterization theorem of the minimal elements of T₃LX, where T₃LX is the set of all T₃ closed topologies on L^X ordered by inclusion. We also present a method for constructing a T₃ closed topology strictly weaker than a given nonminimal T₃ closed topology on L^X.

Original language	English
Pages (from-to)	119-126
Number of pages	8
Journal	Information Sciences
Volume	128
Issue number	1-2
DOIs	https://doi.org/10.1016/S0020-0255(00)00024-4
State	Published - Sep 2000

Keywords

L-fuzzy T closed topology
L-fuzzy closed topology
Regular filter
Regular ideal

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10.1016/S0020-0255(00)00024-4

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title = "Characterizations of minimal T3 L-fuzzy topological spaces",

abstract = "Let L be a completely distributive complete lattice, and X a nonempty set. Then LX is also a completely distributive complete lattice. In this paper, we will prove the existence and a characterization theorem of the minimal elements of T3LX, where T3LX is the set of all T3 closed topologies on LX ordered by inclusion. We also present a method for constructing a T3 closed topology strictly weaker than a given nonminimal T3 closed topology on LX.",

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AB - Let L be a completely distributive complete lattice, and X a nonempty set. Then LX is also a completely distributive complete lattice. In this paper, we will prove the existence and a characterization theorem of the minimal elements of T3LX, where T3LX is the set of all T3 closed topologies on LX ordered by inclusion. We also present a method for constructing a T3 closed topology strictly weaker than a given nonminimal T3 closed topology on LX.

KW - L-fuzzy T closed topology

KW - L-fuzzy closed topology

KW - Regular filter

KW - Regular ideal

UR - https://www.scopus.com/pages/publications/0346479494

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DO - 10.1016/S0020-0255(00)00024-4

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ER -

Characterizations of minimal T₃ L-fuzzy topological spaces

Abstract

Keywords

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