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.
Open Access
This is an open access article distributed under the CC BY-NC license.

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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  -