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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …