Fully Fuzzy Linear Systems Via Alpha-cuts رسالة ماجستير

Abstract

In this worl, we studied fully fuzzy linear systems with triangular, trapezoidal and hexagonal fuzzy numbers. In literature, the product of two fuzzy num- bers using a — cuts has an unpreferable amount, so many authors went to the approximated multiplication formula. Following approximated multipli- cation, 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. Our concern in this work was to use the exact value of the multiplication of two fuzzy numbers and insert suitable condition(s) to guarantee the unique- ness of the solution of a fully fuzzy system with triangular, trapezoidal and hexagonal fuzzy numbers. We proposed a structure for the solution of the fully fuzzy linear system in each case. We then illustrated our results using

a number of numerical examples.

٥٥2٥ Sabreen Ameen Ibrahim. Fully Fuzzy Linear Systems Via Alpha-cuts