Topologies induced by pointwise L-fuzzifying quasi-uniformities

Bin Pang; Yi Zhao

doi:10.3233/IFS-152019

Topologies induced by pointwise L-fuzzifying quasi-uniformities

Bin Pang
, Yi Zhao^*

^*Corresponding author for this work

Harbin Institute of Technology Shenzhen
Beijing Institute of Technology

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

Abstract

Based on a completely distributive De Morgan algebra L, the notion of pointwise L-fuzzifying (quasi-)uniformity is introduced. It is shown that a pointwise L-fuzzifying quasi-uniformity U can induce two L-fuzzifying topologies τ_U and η_U, and the relations between τ_U and η_U are investigated.

Original language	English
Pages (from-to)	3025-3031
Number of pages	7
Journal	Journal of Intelligent and Fuzzy Systems
Volume	30
Issue number	5
DOIs	https://doi.org/10.3233/IFS-152019
State	Published - 2 Apr 2016
Externally published	Yes

Keywords

L-fuzzifying closure
L-fuzzifying interior
L-fuzzifying topology
pointwise L-fuzzifying (quasi-)uniformity

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10.3233/IFS-152019

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abstract = "Based on a completely distributive De Morgan algebra L, the notion of pointwise L-fuzzifying (quasi-)uniformity is introduced. It is shown that a pointwise L-fuzzifying quasi-uniformity U can induce two L-fuzzifying topologies τU and ηU, and the relations between τU and ηU are investigated.",

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AB - Based on a completely distributive De Morgan algebra L, the notion of pointwise L-fuzzifying (quasi-)uniformity is introduced. It is shown that a pointwise L-fuzzifying quasi-uniformity U can induce two L-fuzzifying topologies τU and ηU, and the relations between τU and ηU are investigated.

KW - L-fuzzifying closure

KW - L-fuzzifying interior

KW - L-fuzzifying topology

KW - pointwise L-fuzzifying (quasi-)uniformity

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M3 - 文章

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ER -

Topologies induced by pointwise L-fuzzifying quasi-uniformities

Abstract

Keywords

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