General strong fuzzy solutions of fuzzy Sylvester matrix equations involving the BT inverse

”equation Solving” Generalized Inverses - What Are They?

“…(ii) Let F ∈ M n with Ind(F ) = k, and let G ∈ M n be a matrix which fulfills the system of three matrix equations (P2), (P5) and (P5'). This matrix G is called the Drazin inverse of F , and denoted by F D or by F (2,5,5 ) . Moreover, if Ind(F ) ≤ 1, the Drazin inverse G is called the group inverse of F , and denoted by F # or by F (1,2,5) .…”

“…This matrix G is called the Drazin inverse of F , and denoted by F D or by F (2,5,5 ) . Moreover, if Ind(F ) ≤ 1, the Drazin inverse G is called the group inverse of F , and denoted by F # or by F (1,2,5) .…”

“…Very recently, the first straightforward method for solving dual fuzzy linear systems using the block structure of an arbitrary {1}-inverse was introduced by Dragić et al in [4]. In [6], the core inverse was considered for solving fuzzy linear systems, whereas in [5] the method for solving fuzzy linear systems using the block structure of BT inverse was introduced.…”