Expansive clayey soils are highly moisture sensitive with respect to stress, deformation and strength. These soils exhibit extreme variation in deformation such as heaving, loss of shear strength under certain Moisture Content and settlement and shrinkage as the Moisture Content alters. Swelling is the process of increase in volume of soil that occurs during its interaction with water. Expansiv...

We present a fuzzy (or quantitative) version of the van Benthem theorem, which characterizes propositional modal logic as the bisimulation-invariant fragment of first-order logic. Specifically, we consider a first-order fuzzy predicate logic alongwith its modal fragment, and show that the fuzzy first-order formulas that are non-expansive w.r.t. the natural notion of bisimulation distance are ex...

Let X be a compact metric space and [Formula: see text] a continuous map. Considering the space [Formula: see text] of all nonempty fuzzy sets on X endowed with the levelwise topology, we proved that its g-fuzzification is turbulent or erratic if the given system f is turbulent or erratic correspondingly and f is [Formula: see text]-expansive if and only if its g-fuzzification is [Formula: see ...

Risk analysis of swell and shrinkage is essential to properly evaluate engineering stability and safety of expansive soils. Herein a novel model for risk analysis of swell and shrinkage of expansive soils was proposed by means of coupling set pair analysis with stochastic simulation of triangular fuzzy numbers. A concept ofmulti-element connection number for a set pair, which consisted of measu...

hadamard (or complete $cat(0)$) spaces are complete, non-positive curvature, metric spaces. here, we prove a nonlinear ergodic theorem for continuous non-expansive semigroup in these spaces as well as a strong convergence theorem for the commutative case. our results extend the standard non-linear ergodic theorems for non-expansive maps on real hilbert spaces, to non-expansive maps on had...

Granular Pile Anchor (GPA) considers one of the solution foundation techniques, designed to mitigate the lifting of the sole resulting from expansive soils. This study work is to investigate the uplift movement response of (GPA) in expansive soil. The laboratory tests have been performed on an experimental. The effects of several parameters, such as length (L) of (GPA) and diameter (D), the thi...

Simulations and wargames offer powerful representations to model the mechanics and psychology of military operations that are inherently complex. They offer mechanisms to predict and assess the effectiveness of the mission plans and operations in achieving the military objectives. In this paper, we present a new approach to design the games rules of wargames using fuzzy rule bases, for quantita...

Hadamard (or complete $CAT(0)$) spaces are complete, non-positive curvature, metric spaces. Here, we prove a nonlinear ergodic theorem for continuous non-expansive semigroup in these spaces as well as a strong convergence theorem for the commutative case. Our results extend the standard non-linear ergodic theorems for non-expansive maps on real Hilbert spaces, to non-expansive maps on Ha...

we say that a finite group $g$ is conjugacy expansive if for anynormal subset $s$ and any conjugacy class $c$ of $g$ the normalset $sc$ consists of at least as many conjugacy classes of $g$ as$s$ does. halasi, mar'oti, sidki, bezerra have shown that a groupis conjugacy expansive if and only if it is a direct product ofconjugacy expansive simple or abelian groups.by considering a character analo...