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

’Only comparable’ T -transitive property and its closures for IVFRs

Authors
Ramón González-del-Campo, Luis Garmendia
Corresponding Author
Ramón González-del-Campo
Available Online June 2015.
DOI
10.2991/ifsa-eusflat-15.2015.34How to use a DOI?
Keywords
Interval-valued Fuzzy Relations, Interval-valued Fuzzy Sets, T-transitivity, Ttransitive closure, P weak closures, weak Ttransitivity.
Abstract

In this paper a weaker kind of transitive property for interval-valued fuzzy relations (IVFRs) is introduced. It is called ’only comparable’ T-transitivity because it relaxes the need that all intervals must be comparable, by just the need of having T-transitive cycles only for comparable intervals. This paper also defines a weak concept of closure, and it is proved that it exists just one T-transitive and weak T-transitive closure, it does not exists an ’only comparable’ T-transitive weak closure, but there exist many ’only comparable’ T-transitive weak closures of an IVFR.

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-15.2015.34
ISSN
1951-6851
DOI
10.2991/ifsa-eusflat-15.2015.34How 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  - Ramón González-del-Campo
AU  - Luis Garmendia
PY  - 2015/06
DA  - 2015/06
TI  - ’Only comparable’ T -transitive property and its closures for IVFRs
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  - 225
EP  - 232
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.34
DO  - 10.2991/ifsa-eusflat-15.2015.34
ID  - González-del-Campo2015/06
ER  -