Alexandrov L-Fuzzy Pre-Proximities

Kim, Yong Chan; Oh, Ju-Mok

doi:10.3390/math7010085

Mathematics

2019

DOI: 10.3390/math7010085

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Alexandrov L-Fuzzy Pre-Proximities

Yong Chan Kim

Ju-Mok Oh

Abstract: In this paper, we introduce the concepts of Alexandrov L-fuzzy pre-proximities on complete residuated lattices. Moreover, we investigate their relations among Alexandrov L-fuzzy pre-proximities, Alexandrov L-fuzzy topologies, L-fuzzy upper approximate operators, and L-fuzzy lower approximate operators. We give their examples.

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2022

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Cited by 1 publication

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On the Categorical Connections of L-G-Filter Spaces and a Galois Correspondence with L-Fuzzy Pre-Proximity Spaces

Jose¹,

Mathew²

2022

New Math. and Nat. Computation

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The study examines the categorical connections of [Formula: see text]-G-filters with [Formula: see text]-filters and [Formula: see text]-interior operators. Besides, the relationship between [Formula: see text]-G-filters and [Formula: see text]-fuzzy pre-proximities is also explored. Indeed, the Galois correspondence between the categories of stratified [Formula: see text]-G-filter spaces and [Formula: see text]-fuzzy pre-proximity spaces is revealed in this paper.

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On the Categorical Connections of L-G-Filter Spaces and a Galois Correspondence with L-Fuzzy Pre-Proximity Spaces

Jose¹,

Mathew²

2022

New Math. and Nat. Computation

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show abstract

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Alexandrov L-Fuzzy Pre-Proximities

Cited by 1 publication

References 19 publications

On the Categorical Connections of L-G-Filter Spaces and a Galois Correspondence with L-Fuzzy Pre-Proximity Spaces

On the Categorical Connections of L-G-Filter Spaces and a Galois Correspondence with L-Fuzzy Pre-Proximity Spaces

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