(Δm, f) - Statistical convergence for sequences of fuzzy numbers

被引：0

作者：

Altinok, Hifsi ^{[1
]}

Deniz, Derya ^{[1
]}

机构：

[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2019年 / 36卷 / 04期

关键词：

Sequence of fuzzy numbers; difference operator; statistical convergence; Cesaro summability; modulus function; GENERALIZED DIFFERENCE-SEQUENCES; ORDER BETA; CESARO SUMMABILITY; THEOREMS; SPACES;

D O I：

10.3233/JIFS-181444

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we define the concepts of (Delta(m), f)-statistical convergence of order ss and strong (Delta(m), f)-Cesaro summability of order beta for beta is an element of (0, 1] using a generalized difference operator Delta(m) and an unbounded modulus function for sequences of fuzzy numbers and give some inclusion relations between them.

引用

页码：3525 / 3533

页数：9

共 38 条

[1] DENSITY BY MODULI AND STATISTICAL CONVERGENCE
Aizpuru, A.
Listan-Garcia, M. C.
Rambla-Barreno, F.
[J]. QUAESTIONES MATHEMATICAE, 2014, 37 (04) : 525 - 530
[2] Altinok H, 2012, IRAN J FUZZY SYST, V9, P63
[3] f-statistical convergence of order β for sequences of fuzzy numbers
Altinok, Hifsi
Kasap, Mithat
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 33 (02) : 705 - 712
[4] Statistical convergence of order β for generalized difference sequences of fuzzy numbers
Altinok, Hifsi
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (02) : 847 - 856
[5] [Anonymous], 2007, Inter. J. Sci. Tech.
[6] Statistical convergence of sequences of fuzzy numbers and sequences of α-cuts
Aytar, Salih
Pehlivan, Serpil
[J]. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2008, 37 (02) : 231 - 237
[7] f-Statistical convergence of order α and strong Cesaro summability of order α with respect to a modulus
Bhardwaj, Vinod K.
Dhawan, Shweta
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[8] CAKALLI H., 1996, PURE APPL MATH SCI, V43, P27
[9] Cakalli H., STUDY DOWNWARD HALF
[10] Çakan Ü, 2015, IRAN J FUZZY SYST, V12, P47

← 1 2 3 4 →