On Some Novel Results About Weak Fuzzy Complex Matrices

 

Yaser Ahmad Alhasan1,*, Abuobida Mohammed A. Alfahal1, Raja Abdullah Abdulfatah1

Giorgio Nordo2, Musaddak M. Abdul Zahra3

 

1Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia  

2MIFT Department, University of Messina, Messina, Italy

3Computer Techniques Engineering Department, Al-Mustaqbal University, Babil, Iraq

 

Emails: y.alhasan@psau.edu.sa; a.alfahal@psau.edu.sa ; r.abdulfatah@psau.edu.sa; Giorgio.nordo@unime.it; musaddaqmahir@mustaqbal-college.edu.iq

 

 

Abstract

The objective of this paper is to study the algebraic properties of weak fuzzy complex matrices, where many elementary properties will be obtained such as the invertibility, the determinants, and the eigen values and vectors. In addition, a full solution of linear systems of weak fuzzy complex equations will be provided as an effective and easy algorithm. Also, many examples to clarify the validity of our approach.

Keywords:  weak fuzzy complex number; weak fuzzy complex vector space; weak fuzzy complex matrix

On Some Novel Results About Weak Fuzzy Complex Matrices

 

Yaser Ahmad Alhasan1,*, Abuobida Mohammed A. Alfahal1, Raja Abdullah Abdulfatah1

Giorgio Nordo2, Musaddak M. Abdul Zahra3

 

1Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia  

2MIFT Department, University of Messina, Messina, Italy

3Computer Techniques Engineering Department, Al-Mustaqbal University, Babil, Iraq

 

Emails: y.alhasan@psau.edu.sa; a.alfahal@psau.edu.sa ; r.abdulfatah@psau.edu.sa; Giorgio.nordo@unime.it; musaddaqmahir@mustaqbal-college.edu.iq

 

 

Abstract

The objective of this paper is to study the algebraic properties of weak fuzzy complex matrices, where many elementary properties will be obtained such as the invertibility, the determinants, and the eigen values and vectors. In addition, a full solution of linear systems of weak fuzzy complex equations will be provided as an effective and easy algorithm. Also, many examples to clarify the validity of our approach.

Keywords:  weak fuzzy complex number; weak fuzzy complex vector space; weak fuzzy complex matrix