94 citations · 94 across the 8 of their papers we have counts for
8 papers
Contact relations on bounded distributive lattices and related structures
Ivo Düntsch, Rafał Gruszczyński
We study a discrete representation of contact relations on bounded distributive lattices and some of their reducts. In the course of the paper, we apply ideas and techniques develo…
A mixed logic with binary operators
Ivo Düntsch, Rafał Gruszczyński, Paula Menchón
In previous work "Betweenness algebras" we introduced and examined the class of betweenness algebras. In the current paper we study a larger class of algebras with binary operators…
The fork and its role in unification of closure algebras
Ivo Düntsch, Wojciech Dzik
We consider the two-pronged fork frame and the variety generated by its dual closure algebra . We describe the finite projective algebras in $\mathbf{Eq…
Betweenness algebras
Ivo Duentsch, Rafal Gruszczynski, Paula Menchon
We introduce and study a class of betweenness algebras-Boolean algebras with binary operators, closely related to ternary frames with a betweenness relation. From various axioms fo…
Confusion matrices and rough set data analysis
Ivo Düntsch, Günther Gediga
A widespread approach in machine learning to evaluate the quality of a classifier is to cross -- classify predicted and actual decision classes in a confusion matrix, also called e…
Approximation by filter functions
Ivo Düntsch, Günther Gediga, Hui Wang
In this exploratory article, we draw attention to the common formal ground among various estimators such as the belief functions of evidence theory and their relatives, approximati…
Complex Algebras of Arithmetic
Ivo Düntsch, Ian Pratt-Hartmann
An 'arithmetic circuit' is a labeled, acyclic directed graph specifying a sequence of arithmetic and logical operations to be performed on sets of natural numbers. Arithmetic circu…
Functions Definable by Numerical Set-Expressions
Ian Pratt-Hartmann, Ivo Düntsch
A "numerical set-expression" is a term specifying a cascade of arithmetic and logical operations to be performed on sets of non-negative integers. If these operations are confined…