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

On interval pseudo-homogeneous uninorms

Authors
Lucelia Lima Costa, Benjamin Bedregal, Humberto Bustince, Marcus Rocha
Corresponding Author
Lucelia Lima Costa
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.207How to use a DOI?
Keywords
T-norm, t-conorm, uninorm, pseudohomogeneous.
Abstract

In this paper, we introduce the concept of interval pseudo-homegeneous uninorms. We extend the concept of pseudo-homogeneity of specific functions for interval pseudo-homogeneous functions. It is studied two cases of interval pseudo-homogeneous uninorms, that is, interval pseudo-homogeneous tnorms and interval pseudo-homogeneous t-conorms. It is proved a form of interval pseudo-homogeneous t-norms, that is, TM and we also prove that only interval t-conorm which is pseudo-homogeneous is SM and that there are no interval pseudo-homogeneous proper uninorms.

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
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.207How 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  - Lucelia Lima Costa
AU  - Benjamin Bedregal
AU  - Humberto Bustince
AU  - Marcus Rocha
PY  - 2015/06
DA  - 2015/06
TI  - On interval pseudo-homogeneous uninorms
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  - 1459
EP  - 1464
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.207
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.207
ID  - LimaCosta2015/06
ER  -