Abstract
We study fully fuzzy linear systems with trapezoidal and hexagonal fuzzy numbers. The existence and uniqueness of the
solution for such systems have been investigated in the literature under some restrictions on the coefficients matrix on one
hand, and on the multiplication of fuzzy numbers on the other hand. Almost all researchers approximated the multiplication
of two fuzzy numbers when they used the arithmetic a cut. Using this approach, the multiplication of two positive fuzzy
numbers need not be positive and in other times leads to a fuzzy number that is not of the same type. The aim of the current
research is to solve trapezoidal and hexagonal fuzzy linear systems using the exact multiplication definition of a cut and
under certain conditions on the coefficients matrices to insure that the solution is a set of positive fuzzy numbers that are
trapezoidal and hexagonal, respectively. We illustrate the proposed method using a number of numerical examples. We
compare the numerical results with a well-known method to show the advantages of the proposed method
Authors
Abdelhalim Ziqan
Sabreen Ibrahim
Mohammad Marabeh
Ammar Qarariyah
Pages From
229
Pages To
238
Journal Name
Granular Computing
Volume
Volume 7
Issue
2
Keywords
Fully fuzzy linear systems Trapezoidal fuzzy number Hexagonal fuzzy number Fuzzy systems
Abstract