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

About t-norms on type-2 fuzzy sets

Authors
Pablo Hernández, Susana Cubillo, Carmen Torres
Corresponding Author
Pablo Hernández
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.25How to use a DOI?
Keywords
Funtions of I in I normal and convex functions t-norm and t-conorm
Abstract

Walker et al. ([19], [20]) defined two families of binary operations on M (set of functions of [0,1] in [0,1]), and they determined that, under certain conditions, those operations are t-norms (triangular norm) or t-conorms on L (all the normal and convex functions of M). We define binary operations on M, more general than those given by Walker et al., and we study many properties of these general operations that allow us to deduce new t-norms and t-conorms on both L, and M.

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.2013.25How 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  - Pablo Hernández
AU  - Susana Cubillo
AU  - Carmen Torres
PY  - 2013/08
DA  - 2013/08
TI  - About t-norms on type-2 fuzzy sets
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 171
EP  - 178
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.25
DO  - https://doi.org/10.2991/eusflat.2013.25
ID  - Hernández2013/08
ER  -