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

On distances derived from symmetric difference functions

Authors
Isabel Aguiló, Tomasa Calvo, Javier Martín, Gaspar Mayor, Jaume Suñer
Corresponding Author
Isabel Aguiló
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.90How to use a DOI?
Keywords
Symmetric difference function, t-norm, t-conorm, strong negation, distance.
Abstract
Once introduced a definition of symmetric difference function on the unit real interval [0,1], we consider a method to construct such functions based on a triplet formed by a t-norm, a t-conorm and a strong negation. Our main goal is to characterize those triplets that define symmetric difference functions which are distances.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Cite this article

TY  - CONF
AU  - Isabel Aguiló
AU  - Tomasa Calvo
AU  - Javier Martín
AU  - Gaspar Mayor
AU  - Jaume Suñer
PY  - 2015/06
DA  - 2015/06
TI  - On distances derived from symmetric difference functions
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  - 632
EP  - 637
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.90
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.90
ID  - Aguiló2015/06
ER  -