An associated linear system approach for solving fully fuzzy linear system with hexagonal fuzzy number

Abstract

An associated linear system has been previously employed to solve Fully Fuzzy Linear System (FFLS) with trapezoidal or triangular fuzzy numbers (TFNs). This paper proposes a modified associated linear system for solving FFLS with a positive hexagonal fuzzy number (HFN). FFLS is proved to be an equivalent linear system to the modified associated linear system. Subsequently, the solution can be represented and obtained using any classical linear system method. The required theorems are derived to inspect a sufficient and necessary condition in order to solve the system. An example is given to illustrate our work.