Internally Consistent Fuzzy Linear Operator in a Fuzzy Hilbert Space

Abstract

                This work-study is concerned with the adjoint fuzzy linear operator and the self-adjoint fuzzy linear operator operating on a fuzzy Hilbert space (FH-Space). Several definitions, several basic statements about positive fuzzy operators, and a multitude of theorems are covered in depth, along with the characteristics of the adjoint and self-adjoint fuzzy operators in FH-adjoint fuzzy operators in an FH-space.