To solve multiple attribute decision making problems with intuitionistic trapezoidal fuzzy information, two optimization models based on the maximizing deviation method, by which the attribute weights can be determined, is established. We utilize the intuitionistic trapezoidal fuzzy weighted geometric mean (ITFWGM) operator to aggregate the intuitionistic trapezoidal fuzzy information correspon...

Abstract: To cure imperfections such as low accuracy and the lack of ability to nucleate hole in the conventional level set-based topology optimization method, a novel method using a trapezoidal method with discrete design variables is proposed. The proposed method can simultaneously accomplish topology and shape optimization. The finite element method is employed to obtain element properties a...

We propose two differential geometric representations of planar shapes using: (i) direction functions and (ii) curvature functions, of their boundaries. Under either representation, planar shapes are treated as elements of infinite-dimensional shape spaces. Pairwise differences between the shapes are quantified using the lengths of geodesics connecting them on the shape spaces. We specify the g...

Glass fiber trapezoidal corrugated sandwich structures are composed of cores and glass fiber-reinforced polymer (GFRP) panels. A series low-velocity impact tests were conducted to investigate the resistance performance, considering effects position, impactor shape, diameter on damage mechanism structures. When shape energy remain constant, maximum load at node point is higher than base, while d...

This paper solves a particular incremental motion control problem, which is specified by the trapezoidal velocity profile, using multisegment sliding mode control. Each segment of the multisegment switching surfaces is designed to match the corresponding part of the trapezoidal velocity profile, so that the motor dynamics on the specified-segment switching surface have the desired velocity or a...

The emergency service facilities location is one of the most important issues in the emergency management. This study focused on the location set covering problem (LSCP) for emergency service facilities under fuzzy environment. On the basis of defining the signed distance of trapezoidal fuzzy number, the ranking rules of trapezoidal fuzzy number are defined, the model of emergency service facil...

Applications of three-dimensional Galerkin boundary element methods require the numerical evaluation of many four-dimensional integrals. In this paper we explore the possibility of using extrapolation quadrature. To do so, one needs appropriate error functional expansions. The treatment here is limited to integration over a region T1×T2, where T1 and T2 are planar triangular elements in a hangi...