L- and R-localized solvabilities of max-separable interval linear equations and its applications

In this paper, we propose new types of solutions (an L-localized solution and an R-localized solution) to interval systems ofmax-separable linear equationsA⊗x = b, whereA = [A, A] and b = [b, b]. We provide some small application examples to emphasize the importance of our proposed solutions. We give necessary and sufficient conditions for checking L-localized and R-localized solvabilities and apply them to achieve the closed forms of the sets of all L-localized solutions and R-localized solutions, respectively. © 2014 Elsevier B.V. All rights reserved.