OICC Press Mathematical Sciences 2251-7456 17 2 (June 2023) 2021 11 15 A new method for solving linear programming problems using Z-numbers’ ranking 10.1007/s40096-021-00446-w EN Fatemeh Hasankhani Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, IR Behrouz Daneshian Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, IR Tofigh Allahviranloo Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, TR Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IR Farzin Modarres Khiyabani Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, IR Journal Article 2021 11 15 Abstract In this paper, the concept of the full Z-linear programming problem (FZLP) is first introduced. It is worth to mention that in these type of problems, all parameters, including the coefficients of variables in the objective functions, the coefficients of the variables in the constraints, the right-hand side of the constraints, as well as the decision variables, are valued as Z-numbers. Clearly, it is critical to provide a method to solve these types of problems, and to find their optimal solutions. Therefore, this paper develops a novel and practical method to find the solution of the problem using the concept of Z-numbers. To prove the applicability of the concept, two illustrative examples are provided to demonstrate the precision and effectiveness of this method.