[HTML][HTML] A review on logical connectives defined on finite chains

M Munar, S Massanet, D Ruiz-Aguilera - Fuzzy Sets and Systems, 2023 - Elsevier
This paper aims to compile the main results published in the literature on the study of logical
connectives defined on finite chains, as well as to establish relationships between different …

A survey on the existing classes of uninorms

M Mas, S Massanet, D Ruiz-Aguilera… - Journal of Intelligent & …, 2015 - content.iospress.com
This paper wants to be a compilation of the different existing classes of uninorms. From their
introduction, uninorms have been extensively studied not only as aggregation operators but …

A characterization of a class of uninorms with continuous underlying operators

P Drygaś, D Ruiz-Aguilera, J Torrens - Fuzzy Sets and Systems, 2016 - Elsevier
In this paper all uninorms locally internal in the region A (e)(given by the complement in [0,
1] 2 of [0, e] 2∪[e, 1] 2, where e is the neutral element of the uninorm) having continuous …

[HTML][HTML] Characterization of uninorms with continuous underlying t-norm and t-conorm by means of the ordinal sum construction

A Mesiarová-Zemánková - International Journal of Approximate Reasoning, 2017 - Elsevier
The uninorms with continuous underlying t-norm and t-conorm are characterized via the
ordinal sum construction of Clifford. Using the previous results of the author, where each …

Characterizations of idempotent discrete uninorms

M Couceiro, J Devillet, JL Marichal - Fuzzy Sets and Systems, 2018 - Elsevier
In this paper we provide an axiomatic characterization of the idempotent discrete uninorms
by means of three conditions only: conservativeness, symmetry, and nondecreasing …

Characterization of uninorms with continuous underlying t-norm and t-conorm by their set of discontinuity points

A Mesiarová-Zemánková - IEEE Transactions on Fuzzy …, 2017 - ieeexplore.ieee.org
Uninorms with continuous underlying t-norm and t-conorm are discussed and properties of
the set of discontinuity points of such a uninorm are shown. This set is proved to be a subset …

Discrete overlap functions: basic properties and constructions

J Qiao - International Journal of Approximate Reasoning, 2022 - Elsevier
As a kind of emerging binary continuous aggregation operator that has been successfully
applied in many practical application problems, overlap functions on the unit closed interval …

On properties of uninorms locally internal on the boundary

G Li, HW Liu - Fuzzy Sets and Systems, 2018 - Elsevier
On properties of uninorms locally internal on the boundary - ScienceDirect Skip to main
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Uninorms and their applications

P Drygaś - 2023 - repozytorium.ur.edu.pl
In human life, we constantly receive a lot of information from the world around us. We have
to make decisions based on them, so we have to process and combine them. One way to …

[HTML][HTML] A survey on the enumeration of classes of logical connectives and aggregation functions defined on a finite chain, with new results

M Munar, M Couceiro, S Massanet… - Fuzzy Sets and …, 2024 - Elsevier
The enumeration of logical connectives and aggregation functions defined on a finite chain
has been a hot topic in the literature for the last decades. Multiple advantages can be …