The classical Gauss-Green formula for the multidimensional case is generally stated $C^{1}$ vector fields and domains with boundaries. However, motivated by physical solutions discontinuity/singularity Partial Differential Equations (PDEs) Calculus of Variations, such as nonlinear hyperbolic conservation laws Euler-Lagrange equations, following fundamental issue arises: Does still hold (such ...

An approach to develop new measures of fuzzy directed divergence is proposed here. A new measure of fuzzy directed divergence is proposed, and some mathematical properties of this measure are proved. The application of fuzzy directed divergence in image segmentation is explained. The proposed technique minimizes the fuzzy divergence or the separation between the actual and ideal thresholded image.

Measures of divergence or discrepancy are used either to measure mutual information concerning two variables or to construct model selection criteria. In this paper we are focusing on divergence measures that are based on a class of measures known as Csiszar’s divergence measures. In particular, we propose a measure of divergence between residual lives of two items that have both survived up to...

As far as medical diagnosis problem is concerned, predicting the actual disease in complex situations has been a concerning matter for the doctors/experts. The divergence measure for intuitionistic fuzzy sets is an effective and potent tool in addressing the medical decision making problems. We define a new divergence measure for intuitionistic fuzzy sets (IFS) and its interesting properties ar...