Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

A Survey on Fuzzy Differences

Authors
Francielle Santo Pedro, Laécio Carvalho de Barros, Luciana Takata Gomes
Corresponding Author
Francielle Santo Pedro
Available Online June 2015.
DOI
10.2991/ifsa-eusflat-15.2015.100How to use a DOI?
Keywords
Fuzzy numbers, differences, derivatives.
Abstract

Several definitions of difference between fuzzy numbers are well established in literature: standard, Hukuhara, generalized Hukuhara, generalized, CIA and other differences based on joint possibility distributions. We present and compare them. An example of epidemiological model of a disease with direct transmission illustrates the different approaches. Finally, we briefly state some derivatives defined by using the cited differences.

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/).

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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
10.2991/ifsa-eusflat-15.2015.100
ISSN
1951-6851
DOI
10.2991/ifsa-eusflat-15.2015.100How to use a DOI?
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  - Francielle Santo Pedro
AU  - Laécio Carvalho de Barros
AU  - Luciana Takata Gomes
PY  - 2015/06
DA  - 2015/06
TI  - A Survey on Fuzzy Differences
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  - 705
EP  - 710
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.100
DO  - 10.2991/ifsa-eusflat-15.2015.100
ID  - SantoPedro2015/06
ER  -