On distances derived from symmetric difference functions

DOI

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.

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  - 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  - 10.2991/ifsa-eusflat-15.2015.90
ID  - Aguiló2015/06
ER  -