On some AI-convergent difference sequence spaces of fuzzy numbers defined by the sequence of Orlicz functions
Journal of Inequalities and Applications, cilt.2012, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2012
- Basım Tarihi: 2012
- Doi Numarası: 10.1186/1029-242x-2012-261
- Dergi Adı: Journal of Inequalities and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: ideal, I-convergent, infinite matrix, Orlicz function, fuzzy number, difference space
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Ticaret Üniversitesi Adresli: Evet
Özet
In this paper, using the difference operator of order m, the sequences of Orlicz functions, and an infinite matrix, we introduce and examine some classes of sequences of fuzzy numbers defined by I-convergence. We study some basic topological and algebraic properties of these spaces. In addition, we shall establish inclusion theorems between these sequence spaces. MSC: 40A05, 40G15, 46A45. © 2012 Savas; licensee Springer.