# A New Distance on a Specific Subset of Fuzzy Sets

### Majid Amirfakhrian

#### 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.

#### References

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#### 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