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

DOI

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.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 9
EP  - 16
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.2
DO  - 10.2991/eusflat.2013.2
ID  - Demirci2013/08
ER  -