Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

An Extension of Fuzzy Relational Compositions Using Generalized Quantifiers

Authors
Nhung Cao, Martin Stepnicka, Michal Holcapek
Corresponding Author
Nhung Cao
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.10How to use a DOI?
Keywords
Fuzzy relations, Sup-T composition, Inf-R composition, Bandler-Kohout products.
Abstract

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.

Copyright
© 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/).

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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.10How to use a DOI?
Copyright
© 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  -