Statistical convergence of sequences of fuzzy numbers and sequences of alpha-cuts
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, cilt.37, sa.2, ss.231-237, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 2
- Basım Tarihi: 2008
- Doi Numarası: 10.1080/03081070701251075
- Dergi Adı: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.231-237
- Anahtar Kelimeler: sequences of fuzzy numbers, statistical convergence, uniform statistical convergence, levelwise convergence, natural density, METRIC-SPACES
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this short paper, we show that the statistical convergence of a sequence of fuzzy numbers with respect to the supremum metric is equivalent to the uniform statistical convergence of the sequences of functions which are defined via the endpoints of -cuts of the same fuzzy numbers sequence. We introduce the concept of levelwise statistical convergence and present the analogous relation between levelwise statistical convergence of a sequence of fuzzy numbers and pointwise statistical convergence of the sequences of endpoint functions.