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

Gradual Complex Numbers

Authors
Emmanuelly Sousa, Regivan H. N. Santiago
Corresponding Author
Emmanuelly Sousa
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.212How to use a DOI?
Keywords
Fuzzy numbers, gradual numbers, gradual complex numbers.
Abstract

This paper aims to introduce the concept of Gradual Complex Number (GCN) based on the existing definition of gradual numbers and to show that the algebraic and polar forms, as well as some algebraic properties, of complex numbers can be directly extended from the crisp case. Furthermore, a kind of distance is established in order to deal with such numbers.

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/).

Download article (PDF)

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
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.212How 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  - Emmanuelly Sousa
AU  - Regivan H. N. Santiago
PY  - 2015/06
DA  - 2015/06
TI  - Gradual Complex Numbers
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  - 1493
EP  - 1498
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.212
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.212
ID  - Sousa2015/06
ER  -