MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.43, sa.15, ss.8867-8881, 2020 (SCI-Expanded)
The set of hybrid numbers & x1d542;& xdd42;is a noncommutative number system that unified and generalized the complex, dual, and double (hyperbolic) numbers with the relationih =-hi=epsilon+i.Two hybrid numberspandqare said to be similar if there exist a nonlightlike hybrid numberxsatisfying the equalityx(-1)qx=p. And, it is denoted byp similar to q. In this paper, we study the concept of similarity for hybrid numbers by solving the linear equationspx=xqandqx-xp=cforp,q,c is an element of & x1d542;& xdd42;.