It is generally agreed that of all quadrature formulae, the trapezoidal rule, while being the simplest, is also the least accurate. There is, however, a rather general class of integrals for which the trapezoidal rule can be shown to be a highly accurate means of obtaining numerical values. Specifically, if the integrand is a periodic, even function with all derivatives continuous, then the int...

Defuzzification is the process of converting a fuzzy quantity to precise quantity, just as fuzzification is the conversion of a precise quantity to a fuzzy quantity. Various types of defuzzification methods, are available for conversion of fuzzy to non-fuzzy. In this paper, defuzzification functions in intuitionistic fuzzy environment such as triangular, trapezoidal, L-trapezoidal, R-trapezoida...

trapezoidal channels are frequently used in irrigation networks and other free surface water conveyance systems. the computation of the critical flow depth is one of the primary importance in the design process. it is usually determined by using design charts of iteration techniques. however, researchers have recently proposed formulas that directly provide approximate solutions. this paper pre...

P-normGeneralizedTrapezoidalIntuitionisticFuzzyNumberisthemostgeneralizedformofFuzzy aswellasIntuitionisticFuzzyNumber.Ithasahugeapplicationwhilesolvingvariousproblemsin impreciseenvironment.Inthispapertheauthorshavediscussedsomebasicarithmeticoperationsof p-normGeneralizedTrapezoidalIntuitionisticFuzzyNumbersusingtwodifferentmethods(extensio...

Tubular channel angular pressing (TCAP) is a recently invented novel severe plastic deformation technique for producing UFG tubes. Plastic deformation analysis using the finite element method (FEM) was carried out to investigate the effects of trapezoidal channel geometry on strain inhomogeneity index (SII), strain level and required load compared to previously used channel geometries. The resu...

We numerically investigate the mode properties of the V-groove silicon nitride trench waveguides based on the experimental results. The trench waveguides are suitable for nonlinear applications. By manipulating the waveguide thicknesses, the waveguides can achieve zero dispersion or a maximized nonlinear parameter of 0.219  W-1·m-1 at 1550 nm. Broadband four-wave mixing wi...

We propose a generalization of trapezoidal fuzzy numbers based on modal interval theory, which we name “modal interval trapezoidal fuzzy numbers”. In this generalization, we accept that the alpha cuts associated with a trapezoidal fuzzy number can be modal intervals, also allowing that two interval modalities can be associated with a trapezoidal fuzzy number. In this context, it is difficult to...

In the present study, turbulent flow visualization is carried out to understand the vortex formation mechanism behind a trapezoidal bluff body, for vortex flowmeter application. The dye used for flow v isualization is shearthickening and h igh extension viscosity fluid, which can sustain turbulent separated flows. W ith the quantitative assessment of the images, the vortex frequency is computed...

Scapho-trapezio-trapezoid arthrodesis was originally performed for the treatment of scapho-lunate instability. However, only a few publications have described this technique for treatment of osteoarthritis of the scapho-trapezio-trapezoid (STT) joint. The purpose of this paper is to analyze the results of triscaphoid arthrodesis for STT osteoarthritis with a long-term follow-up. Thirteen cases ...

Steel thin-walled beams have been widely used in civil engineering as purlins, ceiling beams or wall substructure beams. There are often planar members such as trapezoidal sheeting or sandwich panels used as roof or wall cladding fastened to the steel beams. The planar members also serve as stabilization of thin-walled beams against buckling due to loss of stability. This paper focuses on probl...