A New Distance on a Specific Subset of Fuzzy Sets

Majid Amirfakhrian

2016

Abstract

In this paper, first we propose a definition for fuzzy LR sets and then we present a method to assigning distance between these form of fuzzy sets. We show that this distance is a metric on the set of all trapezoidal fuzzy sets with the same height and all trapezoidal fuzzy numbers and is a pseudo-metric on the set of all fuzzy sets.

Paper Citation

in Harvard Style

Amirfakhrian M. (2016). A New Distance on a Specific Subset of Fuzzy Sets . In Proceedings of the 8th International Joint Conference on Computational Intelligence - Volume 2: FCTA, (IJCCI 2016) ISBN 978-989-758-201-1, pages 83-87. DOI: 10.5220/0006047900830087

in Bibtex Style

@conference{fcta16,
author={Majid Amirfakhrian},
title={A New Distance on a Specific Subset of Fuzzy Sets},
booktitle={Proceedings of the 8th International Joint Conference on Computational Intelligence - Volume 2: FCTA, (IJCCI 2016)},
year={2016},
pages={83-87},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006047900830087},
isbn={978-989-758-201-1},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 8th International Joint Conference on Computational Intelligence - Volume 2: FCTA, (IJCCI 2016)
TI - A New Distance on a Specific Subset of Fuzzy Sets
SN - 978-989-758-201-1
AU - Amirfakhrian M.
PY - 2016
SP - 83
EP - 87
DO - 10.5220/0006047900830087