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

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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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  -