An Extension of Fuzzy Relational Compositions Using Generalized Quantifiers
- https://doi.org/10.2991/ifsa-eusflat-15.2015.10How to use a DOI?
- Fuzzy relations, Sup-T composition, Inf-R composition, Bandler-Kohout products.
Fuzzy relational compositions have been extensively studied by many authors. Especially, we would like to express studies of the fuzzy relational compositions motivated by their applications to medical diagnosis by Willis Bandler and Ladislav Kohout. These types of compositions use only two quantifiers: universal quantifier and existential quantifier. There exists a huge gap between these quantifiers. This is a natural motivation for studying fuzzy relational compositions defined based on generalized quantifiers. In this paper, we revisit and provide definitions of these compositions as well as those of derived images and preimages. Furthermore, we investigate their mathematical properties.
- © 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 - Nhung Cao AU - Martin Stepnicka AU - Michal Holcapek PY - 2015/06 DA - 2015/06 TI - An Extension of Fuzzy Relational Compositions Using Generalized Quantifiers 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 - 49 EP - 58 SN - 1951-6851 UR - https://doi.org/10.2991/ifsa-eusflat-15.2015.10 DO - https://doi.org/10.2991/ifsa-eusflat-15.2015.10 ID - Cao2015/06 ER -