University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414120170228A Tauberian theorem for $(C,1,1)$ summable double sequences of fuzzy numbers6175303710.22111/ijfs.2017.3037ENIbrahimCanakDepartment of Mathematics, Ege University, 35100, Izmir, TurkeyUmitToturDepartment of Mathematics, Adnan Menderes University, 09100, Aydin,
TurkeyZerrinOnderDepartment of Mathematics, Ege University, 35100, Izmir, Turkey0000-0002-1054-9692Journal Article20160725In this paper, we determine necessary and sufficient Tauberian conditions under which convergence in Pringsheim's sense of a double sequence of fuzzy numbers follows from its $(C,1,1)$ summability. These conditions are satisfied if the double sequence of fuzzy numbers is slowly oscillating in different senses. We also construct some interesting double sequences of fuzzy numbers.https://ijfs.usb.ac.ir/article_3037_e93bbd0f6b9452e82d1a57a8403f41d7.pdf