Further results on L-ordered fuzzifying convergence spaces

B. Pang; Y. Zhao

Further results on L-ordered fuzzifying convergence spaces

B. Pang
, Y. Zhao^*

^*Corresponding author for this work

Harbin Institute of Technology Shenzhen

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

Abstract

In this paper, it is shown that the category of L-ordered fuzzifying convergence spaces contains the category of pretopological L-ordered fuzzifying convergence spaces as a bireective subcategory and the latter contains the category of topological L-ordered fuzzifying convergence spaces as a bireective subcategory. Also, it is proved that the category of L-ordered fuzzifying convergence spaces can be embedded in the category of stratified L-ordered convergence spaces as a coreective subcategory.

Original language	English
Pages (from-to)	77-92
Number of pages	16
Journal	Iranian Journal of Fuzzy Systems
Volume	13
Issue number	1
Publication status	Published - 1 Feb 2016
Externally published	Yes

Keywords

Category theory
L-filter
L-ordered fuzzifying convergence space
Stratified L-ordered convergence space

Cite this

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AB - In this paper, it is shown that the category of L-ordered fuzzifying convergence spaces contains the category of pretopological L-ordered fuzzifying convergence spaces as a bireective subcategory and the latter contains the category of topological L-ordered fuzzifying convergence spaces as a bireective subcategory. Also, it is proved that the category of L-ordered fuzzifying convergence spaces can be embedded in the category of stratified L-ordered convergence spaces as a coreective subcategory.

KW - Category theory

KW - L-filter

KW - L-ordered fuzzifying convergence space

KW - Stratified L-ordered convergence space

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JO - Iranian Journal of Fuzzy Systems

JF - Iranian Journal of Fuzzy Systems

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Further results on L-ordered fuzzifying convergence spaces

Abstract

Keywords

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