Numerical Solution of Fuzzy Linear Systems
摘要
In this research, we provide a numerical method for the Homotopy Perturbation Method (HPM) to solve the Fuzzy Linear System (FLS). The \(\text{n}\times \text{n}\) linear system was solved by HPM and then converted into a fuzzy linear system of \(2\text{n}\times 2\text{n}\) using the fundamentals of mathematical logic and fuzzy sets. This fuzzy solution of HPM is denoted as FHPM. By resolving a few examples of the fuzzy linear system, it is possible to compare the consistency and effectiveness of the FHPM to the hypothetical HPM.