About t-norms on type-2 fuzzy sets

DOI

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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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  - 10.2991/eusflat.2013.25
ID  - Hernández2013/08
ER  -