Matrix Representations of Fuzzy Quaternion Numbers

In this paper, firstly we discuss basic arithmetic operations with fuzzy quaternion numbers. Then, we introduce a noncommutative field, formed with 2 × 2 fuzzy complex matrices which is used for the matrix representation of fuzzy quaternion numbers as elements within this field. Finally, another way of representing fuzzy quaternion numbers is obtained by using 4 × 4 fuzzy real matrices.

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