Talo Ö.2024-07-222024-07-22202101650114http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/13158We present the concepts of the limit superior and the limit inferior of a double sequence of fuzzy numbers and obtain several properties of these concepts. By using these concepts we also characterize the core of a double sequence of fuzzy numbers as a closed interval. Furthermore, we define Γ-convergence and the endograph metric convergence for a double sequence of fuzzy numbers, which are new types of convergence and investigate the relations between these types of convergence and the core of the sequence. © 2021 Elsevier B.V.EnglishArtificial intelligenceFuzzy setsDouble sequencesFuzzy numbersGamma convergenceFuzzy rulesThe core of a double sequence of fuzzy numbersArticle10.1016/j.fss.2021.02.007