Transitive Openings

DOI

10.2991/eusflat.2011.104How to use a DOI?

Keywords

Similarity, Indistinguishability Operator, Finite-Valued t-norm, Transitive Closure, Transitive Opening

Abstract

Though the transitive closure of a reflexive and symmetric fuzzy relation R is unique and there are several algorithms to calculate it, there can be many transitive openings (maximal T-indistinguishability operators among the ones smaller than or equal to R). This paper presents a method to calculate transitive openings of a reflexive and symmetric fuzzy relation R. It is worth noticing that apart form the minimum t-norm, this is the first algorithm that allows us to calculate them.

Copyright

© 2011, 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  - Dionis Boixader
AU  - Jordi Recasens
PY  - 2011/08
DA  - 2011/08
TI  - Transitive Openings
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 493
EP  - 497
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.104
DO  - 10.2991/eusflat.2011.104
ID  - Boixader2011/08
ER  -