TY - JOUR T1 - System of linear equations in imprecise environment AU - Sanhita Banerjee and Tapan Kumar Roy JO - Journal of Information and Computing Science VL - 1 SP - 064 EP - 072 PY - 2024 DA - 2024/01 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22499.html KW - fuzzy system of linear equation (FSLE) KW - intuitionistic fuzzy system of linear equation (IFSLE), trapezoidal fuzzy number (TrFN) KW - trapezoidal intuitionisic fuzzy number (TrIFN) KW - strong and weak solutions. AB - The paper discusses linear systems in imprecise environment. In this paper we have developed the solution procedure of system of linear equations with coefficients and the right-hand side as fuzzy and intuitionistic fuzzy numbers. We have also calculated the necessary and sufficient conditions for the existence of the solutions by developing some theorems. We have solved the system by using the concept of Strong and Weak solution with numerical example.