Square and Non-Square Fully Fuzzy Linear Systems with Trapezoidal and Hexagonal Fuzzy Numbers رسالة ماجستير

Abstract

In this thesis, the de nition of trapezoidal fuzzy number using right and left spread is introduced. Then, in a similar way, we de ned hexagonal fuzzy number. Also, we gave a compact formulas for the operations on such fuzzy numbers using Alpha cut arithmetic. Square and non-square fully fuzzy linear systems of trapezoidal and hexagonal types using the new de nitions are extensively studied. More precisely, we were able to formulate certain conditions in order to have a fuzzy solution at rst and then a positive solution. Further, plenty of illustrative examples have been discussed.