A Tauberian theorem for $(C,1,1)$ summable double sequences of fuzzy numbers

Makaleler > Tam Makale · 2017

Yazarlar: İbrahim ÇANAK, Ümi̇t Totur, Zerrin Önder

Iranian journal of fuzzy systems, Uluslararası, Wos, 2017, cilt 14, ss 61-75

DOI: 10.22111/ijfs.2017.3037

Özet

In 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.

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