Self-adjoint Fuzzy Operator in Fuzzy Hilbert Space and its Properties

Sudad M. Rasheed1

1 Department Of Mathematics, Faculty of Physical and Basic Education, School of Basic Education, University of Sulaimani, Kurdistan Region, Iraq

Original: 5 July 2016, Revised: 5 August 2016, Accepted: 16 October 2016, Published online: 20 March 2017

DOI: https://doi.org/10.17656/jzs.10601

Abstract

In this work, we focus our study on adjoint Fuzzy linear operator and self-adjoint Fuzzy linear operator acting on a Fuzzy Hilbert space (FH-Space). We have given several definitions, theorems and discuss in details, The properties of the adjoint and self-adjoint Fuzzy operators in a FH-adjoint Fuzzy operators in a FH-space.

Key Words: adjoint Fuzzy operators, self-adjoint Fuzzy operator, FH-space, FIP-space.

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