Lacunary ideal convergent double sequences of fuzzy real numbers

被引：4

作者：

Hazarika, Bipan ^{[1
]}

机构：

[1] Rajiv Gandhi Univ, Dept Math, Doimukh 791112, Arunachal Prade, India

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2014年 / 27卷 / 01期

关键词：

I-convergence; double sequence; double lacunary sequence; fuzzy number; I-limit point; I-cluster point; STATISTICAL CONVERGENCE; I-CONVERGENCE; SPACES; SUMMABILITY;

D O I：

10.3233/IFS-131018

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 article, the concept of lacunary ideal convergent double sequences of fuzzy numbers have been introduced. Also the relation between lacunary ideal convergent and lacunary ideal Cauchy double sequences of fuzzy numbers have been established. Furthermore, the notions of lacunary ideal limit point and lacunary ideal cluster points have been introduced and find the relation between these two notions.

引用

页码：495 / 504

页数：10

共 50 条

[21] On asymptotically double lacunary statistical equivalent sequences in ideal context
Hazarika, Bipan
Kumar, Vijay
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[22] ON SOME PROPERTIES OF IDEAL CONVERGENT DOUBLE SEQUENCES IN FUZZY NORMED SPACES
Khan, V. A.
Alshlool, K. M. A. S.
Altaf, H.
Abdullah, S. A. A.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (02): : 570 - 579
[23] On the class of λ-statistically convergent difference sequences of fuzzy numbers
Altinok, Hifsi
Colak, Rifat
Altin, Yavuz
SOFT COMPUTING, 2012, 16 (06) : 1029 - 1034
[24] Almost lacunary statistical and strongly almost lacunary convergence of sequences of fuzzy numbers
Goekhan, Ayseguel
Et, Mikail
Mursaleen, Mohammad
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (3-4) : 548 - 555
[25] On Lacunary Almost Statistical Convergence of Generalized Difference Sequences of Fuzzy Numbers
Subramanian, N.
Esi, Ayhan
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2009, 11 (01) : 44 - 48
[26] Lacunary statistically convergent double sequences in probabilistic normed spaces
S. A. Mohiuddine
E. Savaş
ANNALI DELL'UNIVERSITA' DI FERRARA, 2012, 58 (2) : 331 - 339
[27] I-convergent sequences of fuzzy real numbers defined by Orlicz function
Sarma, Bipul
MATHEMATICAL SCIENCES, 2012, 6 (01)
[28] AN INVESTIGATION ON THE TRIPLE IDEAL CONVERGENT SEQUENCES IN FUZZY METRIC SPACES
Gurdal, Mehmet
Savas, Ekrem
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2022, 71 (01): : 13 - 24
[29] Some double lacunary I-convergent sequence spaces of fuzzy numbers defined by Orlicz function
Savas, Ekrem
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2012, 23 (05) : 249 - 257
[30] I-convergent sequences of fuzzy real numbers defined by Orlicz function
Bipul Sarma
Mathematical Sciences, 2012, 6 (1)

← 1 2 3 4 5 →