Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)

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Inf- and Sup-preserving Aggregation Functions

Authors
Marta Cardin
Corresponding Author
Marta Cardin
Available Online 30 August 2021.
DOI
10.2991/asum.k.210827.092How to use a DOI?
Keywords
Inf-lattice, convexity algebra, inf-preserving function, interior operator, congruence, aggregation operator
Abstract

We introduce inf-lattices, sup-lattices and convexity algebras and we define closure or interior operators and congruences in these algebraic structures. We prove that any inf-lattice can be represented as a quotient of a power set lattice with respect to a congruence. Moreover we consider closure operators defined on a poset and we provide a characterization of inf-preserving maps between inf-lattices. Inf-preserving aggregation functions are described.

Copyright
© 2021, 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
Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
30 August 2021
ISBN
978-94-6239-423-0
ISSN
2589-6644
DOI
10.2991/asum.k.210827.092How to use a DOI?
Copyright
© 2021, 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

risenwbib
TY  - CONF
AU  - Marta Cardin
PY  - 2021
DA  - 2021/08/30
TI  - Inf- and Sup-preserving Aggregation Functions
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 682
EP  - 686
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.092
DO  - 10.2991/asum.k.210827.092
ID  - Cardin2021
ER  -