Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

Applications of Categorical Fixed-basis Fuzzy Topological Spaces to A-valued Spaces

Authors
Mustafa Demirci
Corresponding Author
Mustafa Demirci
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.2How to use a DOI?
Keywords
Fuzzy topology Categorical fuzzy topology Partially ordered set-valued space Augmented partially ordered set Complete partially ordered set Subset system
Abstract
As an application of the dual equivalence between the category of L-spatial C-objects and the category of L-sober C-M-L-spaces, it is shown in this paper that for a fixed augmented partially ordered set A, there exists a dual equivalence between the category of A-spatial augmented partially ordered sets and the category of A-sober A-valued spaces. Then, with regard to this duality, for a fixed (Z1,Z2)-complete partially ordered set L, we establish a dual equivalence between the category of L-spatial (Z1,Z2)-complete partially ordered sets and the category of L-sober L-valued Q-spaces.
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Proceedings
8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2013.2How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Mustafa Demirci
PY  - 2013/08
DA  - 2013/08
TI  - Applications of Categorical Fixed-basis Fuzzy Topological Spaces to A-valued Spaces
BT  - 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.2
DO  - https://doi.org/10.2991/eusflat.2013.2
ID  - Demirci2013/08
ER  -