Graph theory, a branch of mathematics, studies the relationships between entities using
vertices and edges. Uncertain Graph Theory has emerged within this field to model the …

This paper presents a new method for solving fuzzy systems of equations (SoEs) where their
parameters are represented by fuzzy intervals (FIs). A FI is a normal and convex fuzzy set …

As an important extension of the rough set theory, interval-set rough sets provide an effective
method to solve the problem that the objective sets cannot be accurately expressed in the …

Thick ellipsoids were recently introduced by the authors to represent uncertainty in state
variables of dynamic systems, not only in terms of guaranteed outer bounds but also in terms …

We exploit the temporal coherence of closed-form animated implicit surfaces by locally re-
evaluating an octree-like discretization of the implicit field only as and where is necessary to …

This paper revisits interval-valued fuzzy regression and proposes a new unified framework
to address interval-valued type-1 and type-2 fuzzy regression models. The paper focuses on …

Codac (Catalog Of Domains And Contractors) is a C++/Python library providing tools for
constraint programming over reals, trajectories and sets. It has many applications in …

Set inversion and box contraction consist in finding guaranteed solutions to an equation
where variables belong to bounded sets. These problems are classic in Euclidean spaces …

A triaxial accelerometer has been developed to measure and determine the uncertainty
associated with unknown vibrations disturbing a small force metrology experiment …

This paper summarizes the mathematical aspects of fuzzy and bipolar mathematical
morphology and shows how morphological operators can be applied to define spatial …