Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory
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- Triangular norm join-morphism interval-valued fuzzy set Atanassov's intuitionistic fuzzy set interval-valued intuitionistic fuzzy set n-dimensional fuzzy set
The n-dimensional fuzzy sets have been introduced as a generalization of interval-valued fuzzy sets, Atanassov's intuitionistic and interval-valued intuitionistic fuzzy sets. In this paper we investigate t-norms on 3-dimensional sets which are join-morphisms. Under some additional conditions we show that they can be represented using a representation which generalizes a similar representation for t-norms in interval-valued fuzzy set theory.
- © 2013, the Authors. Published by Atlantis Press.
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Cite this article
TY - CONF AU - Glad Deschrijver PY - 2013/08 DA - 2013/08 TI - Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory BT - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13) PB - Atlantis Press SP - 80 EP - 87 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2013.12 DO - https://doi.org/10.2991/eusflat.2013.12 ID - Deschrijver2013/08 ER -