The Flow matrix is a novel method to describe and extrapolate transitions among categories. extrapolates constant transition size per unit of time on continuum with maximum one incident observation during the extrapolation. linearly until persistence category shrinks zero. has concepts mathematics that are more straightforward than Markov matrix. However, many scientists apply by default becaus...

We give short proofs of the adjacency matrix characterizations of interval digraphs and unit interval digraphs.

data envelopment analysis (dea) is a method for measuring the relative efficiencies of a set of decision-making units (dmus) that use multiple inputs to produce multiple outputs. in this paper, we study the measurement of dmu performances in dea in situations where input and/or output values are given as imprecise data. by imprecise data we mean situations where we only know that the actual val...

In this paper, motivated by the notion of generalized single valued neutrosophic graphs of first type, we defined a new neutrosophic graphs named generalized interval valued neutrosophic graphs of first type (GIVNG1) and presented a matrix representation for it and studied few properties of this new concept. The concept of GIVNG1 is an extension of generalized fuzzy graphs (GFG1) and generalize...

C-XSC is a C++ library for reliable scientific computing, which provides data types for dense vectors and matrices with real, complex, real interval and complex interval entries. These data types are easy to use and provide many helpful functionalities such as the ability to work with submatrices and subvectors. However, when dealing with sparse vectors, and especially with sparse matrices, the...

In this paper, we present a new method for calculating the singular values bounds of an interval matrix. we regard singular values as the the largest eigenvalues of the Jordan-Wielandt matrix. Using the property of eigenvalue bound for interval matrix, we give a method about singular values bounds. This method can analyse stability of systems in control fields extensively. An numerical example ...