In this paper, we want represented a method for ranking of two exponential trapezoidal fuzzy numbers with TRD distance. The main advantage of the proposed approach is that the proposed approach provide the correct ordering of exponential trapezoidal fuzzy numbers and also the proposed approach is very simple and easy to apply in the real life problems.

We propose a novel SAS macro to utilize PROC NLMIXED in SAS to estimate the standard error for AUC when the AUC estimator is based on the trapezoidal rule. Our method accounts for the trapezoidal region-by-region correlation structure. An example is provided for the standard error of the AUC under the ROC curve.

In the current presentation, we suggest a very simple and effective post-processing procedure to increase the order of accuracy in time for numerical results obtained at time integration of linear elastodynamics problems by the trapezoidal rule. This technique is based on a new exact, closed-form, a-priori error estimator for time integration of linear elastodynamics equations by the trapezoida...

Sensorineural hearing loss is associated with increased temporal masking of low energy sub-segments of speech by adjacent high energy segments, resulting in increased consonant confusion. Splitting the speech into segments and presenting the alternate segments to the two ears, may help in reducing the effect of increased temporal masking in cases of moderate bilateral loss. A method of inter-au...

Class Sm variable transformations with integer m for finite-range integrals were introduced by the author about a decade ago. These transformations ‘‘periodize’’ the integrand functions in a way that enables the trapezoidal rule to achieve very high accuracy, especially with even m. In a recent work by the author, these transformations were extended to arbitrary real m, and their role in improv...

To make the analysis more consistent and logical according to real life situations, in thispaper, the concept of trapezoidal vague set is extended by the idea of trapezoidal vaguesets of type-II. Also we have introduced: definition of trapezoidal vague set of type-IIand arithmetic operations between two trapezoidal vague sets of type-II. Further, a newmethod has been developed f...

We consider the possible ways of the homogenization of nongraded non-commutative algebra and show that it should be combined with the cancellation rule to get the mathematically adequate correspondence between graded and non-graded algebras.

The present work carries out a three-dimensional numerical analysis study of Aluminium Nitride (AlN)-water hybrid nanofluid enhanced heat transfer in laminar forced convection flow exchanger with four different channels, flat, backward facing step, triangle and trapezoidal step channels. influence Reynolds number (100≤ Re ≤1500) solid nanoparticles volume fraction (1% 4%) on the fluid were nume...

An approach for solving a matrix game whose pay off elements are symmetric trapezoidal fuzzy numbers is proposed. P.Grzegorzewski’s theorem[1]has been used to transform symmetric trapezoidal fuzzy numbers to interval fuzzy number such that length of all intervals are different.Acceptability index has been defined and ordering of fuzzy numbers has been established.