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