Transitive Closure of Interval-valued Fuzzy Relations

DOI

10.1080/18756891.2013.802117How to use a DOI?

Keywords

Generalized t-norms, Interval-valued Fuzzy Relations, Interval-valued Fuzzy Sets, t-norms, t-representable t-norms, T-transitive closure

Abstract

In this paper are introduced some concepts of interval-valued fuzzy relations and some of their properties: reflexivity, symmetry, T-transitivity, composition and local reflexivity. The existence and uniqueness of T-transitive closure of interval-valued fuzzy relations is proved. An algorithm to compute the T-transitive closure of finite interval-valued fuzzy relations is showed. Some properties and some examples is given for t-representable and t-pseudo representable generalized t-norms.

Copyright

© 2017, 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  - JOUR
AU  - Ramón González-del-Campo
AU  - Luis Garmendia
AU  - Jordi Recasens
PY  - 2013
DA  - 2013/07/01
TI  - Transitive Closure of Interval-valued Fuzzy Relations
JO  - International Journal of Computational Intelligence Systems
SP  - 648
EP  - 657
VL  - 6
IS  - 4
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2013.802117
DO  - 10.1080/18756891.2013.802117
ID  - González-del-Campo2013
ER  -