120 citations · 211 across the 21 of their papers we have counts for
6 papers · 1 filter
On Extensions of Quasi-Overlap and Quasi-Grouping Functions Defined on Bounded Lattices
Ana Shirley Monteiro, Regivan Santiago, Benjamín Bedregal +2
In this paper, we propose a method of extending quasi-overlap and grouping functions defined on a sublattice of a bounded lattice to this lattice considering a more gen…
(,,)-Implications
Fernando Neres, Benjamín Bedregal, Regivan H. N. Santiago
In this paper we introduce a new class of fuzzy implications called (,,)-implications inspired in the logical equivalence $p\rightarrow q \equiv \neg(p\wedge\neg q)\vee\ne…
Residuated implications derived from quasi-overlap functions on lattices
Rui Paiva, Benjamín Bedregal, Regivan Santiago
In this paper, we introduce the concept of residuated implications derived from quasi-overlap functions on lattices and prove some related properties. In addition, we formalized th…
Lattice-valued Overlap and Quasi-Overlap Functions
Rui Paiva, Eduardo Palmeira, Regivan Santiago +1
Overlap functions were introduced as class of bivariate aggregation functions on [0, 1] to be applied in image processing. This paper has as main objective to present appropriates…
Semi-BCI Algebras
Regivan H. N. Santiago, Benjamin Bedregal, João Marcos +2
The notion of semi-BCI algebras is introduced and some of its properties are investigated. This algebra is another generalization for BCI-algebras. It arises from the "intervalizat…
n-Dimensional Fuzzy Negations
Benjamín Bedregal, Ivan Mezzomo, Renata Hax Sander Reiser
n-Dimensional fuzzy sets is a fuzzy set extension where the membership values are n-tuples of real numbers in the unit interval [0,1] orderly increased, called n-dimensional interv…