Babakordi, FatemehAllahviranloo, Tofigh2022-08-172022-08-172022Babakordi, F., & Allahviranloo, T. (2021). Introducing and solving the hesitant fuzzy system A X = B. Control and Cybernetics, 50(4), 553-574. doi:10.2478/candc-2021-00310324-8569http://doi.org/10.2478/candc-2021-0031https://hdl.handle.net/20.500.12713/3105In this paper the solution for hesitant fuzzy system as AX = B is introduced where A is an n ×n known hesitant fuzzy matrix, B is an n ×1 known hesitant fuzzy vector and X is an n ×1 unknown hesitant fuzzy vector. First, L?-norm and L1-norm of a hesitant fuzzy vector are intro-duced. Then, the concepts of hesitant fuzzy zero, ’almost equal’ and ’less than’ and ’equal’ are defined for two hesitant fuzzy numbers. Finally, using a minimization problem; the hesitant fuzzy system is solved. At the end, some numerical examples are presented to show the effectiveness of the proposed methodeninfo:eu-repo/semantics/openAccessArticle5045535742-s2.0-8513545853210.2478/candc-2021-0031Q4