Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

Geometric similarity measures for the intuitionistic fuzzy sets

Authors
Eulalia Szmidt, Janusz Kacprzyk
Corresponding Author
Eulalia Szmidt
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.124How to use a DOI?
Keywords
Intuitionistic fuzzy sets distances similarity measures
Abstract

This paper is a continuation of our previous works on geometric similarity measures between Atanassov's intuitionistic fuzzy sets (A-IFSs for short). We consider some traps of the straightforward approach in the case of A-ISs while similarity is understood as a dual concept of a distance. The difficulties are a result of, first, the symmetry of the three terms (the membership, non-membership and hesitation margin) in an A-IFS element description, and second, of an important role played by those three terms in the definition of the complement of the A-IFS which should be taken into account in the similarity measures.

Copyright
© 2013, 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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Volume Title
Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2013.124How to use a DOI?
Copyright
© 2013, 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  - Eulalia Szmidt
AU  - Janusz Kacprzyk
PY  - 2013/08
DA  - 2013/08
TI  - Geometric similarity measures for the intuitionistic fuzzy sets
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 880
EP  - 887
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.124
DO  - https://doi.org/10.2991/eusflat.2013.124
ID  - Szmidt2013/08
ER  -