On some AI-convergent difference sequence spaces of fuzzy numbers defined by the sequence of Orlicz functions

Savas, EKREM

doi:10.1186/1029-242x-2012-261

On some AI-convergent difference sequence spaces of fuzzy numbers defined by the sequence of Orlicz functions

Savas E.

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: difference space, fuzzy number, I-convergent, ideal, infinite matrix, Orlicz function
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Uşak Üniversitesi Adresli: Hayır

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.