Transforming linear functional systems into fully integrable systems

Transforming linear functional systems into fully integrable systems

A linear (partial) functional system consists of linear partial differential, difference equations or any mixture thereof. We present an algorithm that determines whether linear functional systems are ∂-finite, and transforms ∂-finite systems to fully integrable ones. The algorithm avoids using Gröbner bases in Laurent–Ore modules when ∂-finite systems correspond to finitedimensional Ore module...

Fully Fuzzy Linear Systems

As can be seen from the definition of extended operations on fuzzy numbers, subtraction and division of fuzzy numbers are not the inverse operations to addition and multiplication . Hence, to solve the fuzzy equations or a fuzzy system of linear equations analytically, we must use methods without using inverse operators. In this paper, a novel method to find the solutions in which 0 is not ...

SsT decomposition method for solving fully fuzzy linear systems

The SST decomposition method for solving system of linear equations make it possible to obtain the values of roots of the system with the specified accuracy as the limit of the sequence of some vectors. In this topic we are going to consider vectors as fuzzy vectors. We have considered a numerical example and tried to find out solution vector x in fuzzified form using method of SST decomposition.

DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS

In this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T.

Solution of Fully Fuzzy Linear Systems by ST Method