Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

On two categories of many valued relations

Authors
Dikran Dikranjan, Alexander Šostak
Corresponding Author
Dikran Dikranjan
Available Online June 2015.
DOI
10.2991/ifsa-eusflat-15.2015.131How to use a DOI?
Keywords
L-fuzzy relation, many-valued relation, fuzzy topology, closure operator, interior operator.
Abstract

The purpose of these notes is to introduce the concept of a many-valued relation and to study two, in a certain sense dual, categories of such relations. Besides, we apply the concept of a manyvalued relation to the description of different approaches, both fixed-based and variable-based, to Fuzzy Topology and characterize categories related to Fuzzy Topology, in the framework of the orresponding categories of many-valued relations.

Copyright
© 2015, 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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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
10.2991/ifsa-eusflat-15.2015.131
ISSN
1951-6851
DOI
10.2991/ifsa-eusflat-15.2015.131How to use a DOI?
Copyright
© 2015, 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/).

Cite this article

TY  - CONF
AU  - Dikran Dikranjan
AU  - Alexander Šostak
PY  - 2015/06
DA  - 2015/06
TI  - On two categories of many valued relations
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 933
EP  - 938
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.131
DO  - 10.2991/ifsa-eusflat-15.2015.131
ID  - Dikranjan2015/06
ER  -