A New Distance on a Specific Subset of Fuzzy Sets

Majid Amirfakhrian

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Paper

A New Distance on a Specific Subset of Fuzzy Sets

Topics: Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic

In Proceedings of the 8th International Joint Conference on Computational Intelligence - Volume 0IJCCI, 83-87, 2016 , Porto, Portugal

Author: Majid Amirfakhrian

Affiliation: Central Tehran Branch and Islamic Azad University, Iran, Islamic Republic of

Keyword(s): Fuzzy Sets, Fuzzy Numbers, Fuzzy LR sets, Generalized LR fuzzy number, Value, Ambiguity.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Fuzzy Systems ; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic ; Soft Computing

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.

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Paper citation in several formats:

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

@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 (IJCCI 2016) - FCTA},
year={2016},
pages={83-87},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006047900830087},
isbn={978-989-758-201-1},
}

TY - CONF

JO - Proceedings of the 8th International Joint Conference on Computational Intelligence (IJCCI 2016) - FCTA
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
PB - SciTePress