Intuitionistic fuzzy unitary operator on intuitionistic fuzzy Hilbert space
Authors :
A. Radharamani 1 and S. Maheswari 2 *
Author Address :
1 Department of Mathematics, Chikkanna Government Arts College, Tirupur-641602, Tamil Nadu, India.
2 Department of Mathematics, Tiruppur Kumaran College For Women, Tirupur-641687, Tamil Nadu, India.
*Corresponding author.
Abstract :
In this paper, we define Intuitionistic fuzzy unitary operator (IFU-operator) on an intuitionistic fuzzy Hilbert space (IFH-space). An operator \( \mathfrak{U} \in IFB (\mathbb{H})\) is intuitionistic fuzzy unitary operator if \( \mathfrak{U} {\mathfrak{U}}^{\ast}=I= {\mathfrak{U}}^{\ast} \mathfrak{U}\) i.e. it is an isomorphism of $\mathbb{H}$ onto itself. By virtue of this definition, a few theorems on IFU-operator are introduced and some of its properties are discussed.
Keywords :
Intuitionistic fuzzy adjoint operator (IFA-operator), intuitionistic fuzzy Hilbert space (IFH-space), intuitionistic fuzzy normal operator (IFN-operator), intuitionistic fuzzy self-adjoint operator
DOI :
Article Info :
Received : February 09, 2020; Accepted : April 21, 2020.
