Fuzzy Matrices and Determinants

This chapter gives some basic notions of ordinary matrix theory that is essential to make the book self‐contained one. It describes few basic properties of fuzzy matrices and determinants along with their properties. As the authors are dealing with fuzzy set, so throughout the chapter they consider [0,1] as unit interval and this interval is known as fuzzy interval. If the diagonal elements of a fuzzy matrix are fuzzy one numbers and the off‐diagonal elements are fuzzy zero numbers, then the fuzzy matrix is called fuzzy identity matrix. The adjoint of a matrix is defined only for square matrix. For an ordinary matrix, adjoint of a matrix is defined as the transpose of the matrix obtained by replacing the elements of fuzzy matrix by their respective cofactors in n fuzzy matrix. The chapter explains adjoint and inverse of a matrix along with properties and examples. Examples help the readers to understand the subject more clearly.