Affiliations: Department of Mathematics, National Institute of Technology, Rourkela, Odisha, India
Note: [] Corresponding author. S. Chakraverty, Department of Mathematics, National Institute of Technology, Rourkela, Odisha – 769 008, India. Tel.: +91 661 2462713; Fax: +91 661 2462713 2701; E-mail: [email protected] (S. Chakraverty), [email protected] (Diptiranjan Behera).
Abstract: This paper proposed a new and simple solution approach to solve a general fuzzy system of linear equations. In the original system, the coefficient matrix is considered as real crisp whereas the unknown variable vector and right hand side vector are considered as fuzzy. Here, three different types of fuzzy numbers viz. triangular, trapezoidal and Gaussian fuzzy numbers are taken into consideration. First the system is solved in term of fuzzy centre then this solution is used with width to get the final solution of the original system. Solution theorems are stated and proved related to the proposed method. The method is also used to solve some known example problems found in the references and the results are compared to show the efficacy of the proposed method.
Keywords: Fuzzy number, triangular fuzzy number, trapezoidal fuzzy number, Gaussian fuzzy number, fuzzy centre, fuzzy width, fuzzy system of linear equations
