Aggregation functions on bounded partially ordered sets and their classification

M Komornikova, R Mesiar - Fuzzy Sets and Systems, 2011 - Elsevier
Several classes of aggregation functions on bounded partially ordered sets are introduced
and discussed. Considering their conjunctive and/or disjunctive attitude, some classification …

Overlap and grouping functions on complete lattices

J Qiao - Information Sciences, 2021 - Elsevier
Recently, Paiva et al. introduced the concepts of lattice-valued overlap and quasi-overlap
functions, and showed the migrativity, homogeneity and other properties of (quasi-) overlap …

On ordinal sums of triangular norms on bounded lattices

S Saminger - Fuzzy Sets and Systems, 2006 - Elsevier
Ordinal sums have been introduced in many different contexts, eg, for posets, semigroups, t-
norms, copulas, aggregation operators, or quite recently for hoops. In this contribution, we …

New construction of an ordinal sum of t-norms and t-conorms on bounded lattices

A Dvořák, M Holčapek - Information Sciences, 2020 - Elsevier
This paper introduces a new ordinal sum construction of t-norms and t-conorms on bounded
lattices based on interior and closure operators. The proposed method generalizes several …

Modified ordinal sums of triangular norms and triangular conorms on bounded lattices

Ü Ertuğrul, F Karaçal, R Mesiar - International Journal of …, 2015 - Wiley Online Library
Having in mind that ordinal sum construction of triangular norms (triangular conorms) may
not work on bounded lattices, in general, we propose a modification of ordinal sums of t …

Constructing uninorms via closure operators on a bounded lattice

Y Ouyang, HP Zhang - Fuzzy Sets and Systems, 2020 - Elsevier
In this paper, via closure (resp. interior) operators on a bounded lattice L, we propose a
rather effective method to construct uninorms on L with a given triangular norm T (resp …

Data fusion: theory, methods, and applications

M Gagolewski - arXiv preprint arXiv:2208.01644, 2022 - arxiv.org
A proper fusion of complex data is of interest to many researchers in diverse fields, including
computational statistics, computational geometry, bioinformatics, machine learning, pattern …

Characterizing when an ordinal sum of t-norms is a t-norm on bounded lattices

J Medina - Fuzzy Sets and Systems, 2012 - Elsevier
One of the most important operators in soft computing are the triangular norms (t-norms), as
well as the combination among them. The ordinal sum of triangular norms on [0, 1] has been …

Some further results about uninorms on bounded lattices

B Zhao, T Wu - International Journal of Approximate Reasoning, 2021 - Elsevier
The main purpose of this paper is to solve the problem proposed by Çaylı about uninorms
on bounded lattices and build close relationships among uninorms constructed in this paper …

Constructions of quasi-overlap functions and their generalized forms on bounded partially ordered sets

J Qiao - Fuzzy Sets and Systems, 2022 - Elsevier
Recently, Paiva et al. introduced the concept of quasi-overlap functions on bounded lattices
and investigated some vital properties of them. In this paper, we continue consider this …