LACUNARY STATISTICAL CONVERGENCE OF UNCERTAIN FUZZY NUMBER SEQUENCES VIA ORLICZ FUNCTION

被引：0

作者：

Raj, Kuldip ^{[1
]}

Gorka, Samrati ^{[1
]}

Esi, Ayhan ^{[2
]}

机构：

[1] Shri Mata Vaishno Devi Univ, Sch Math, Katra 182320, Jammu & Kashmir, India

[2] Malatya Turgut Ozal Univ, Engn & Nat Sci Fac, Dept of Basic Eng Sci, Math Sect, TR-44040 Malatya, Turkiye

来源：

MATHEMATICAL FOUNDATIONS OF COMPUTING | 2024年

关键词：

Statistical convergence; uncertainty theory; fuzzy numbers; lacunary sequence; Orlicz function;

D O I：

10.3934/mfc.2024047

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper presented the concept of lacunary statistical convergence of a uncertain sequence of fuzzy numbers via the orlicz function. We explored different types of convergence-like convergence in measure, in mean, in distribution, and in uniformly almost surely. Additionally, we made an effort to provide illustrative examples that elucidated the interrelations among these convergence.

引用

页数：14

共 31 条

[1] Δ-STATISTICAL BOUNDEDNESS FOR SEQUENCES OF FUZZY NUMBERS [J].

Altinok, H. ;

Mursaleen, M. .

TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (05) :2081-2093

[2]

[Anonymous], 1951, Colloq. Math.

[3]

[Anonymous], 2015, Uncertainty Theory

[4] On Statistical Convergence of Uncertain Sequence of Fuzzy Numbers [J].

Baliarsingh, P. ;

Nanda, S. ;

Nayak, L. .

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2022, 30 (06) :975-989

[5]

Canak I, 2017, IRAN J FUZZY SYST, V14, P61

[6]

Chen X., 2011, INT J OPER RES, V8, P32

[7] Convergence of complex uncertain sequences [J].

Chen, Xiumei ;

Ning, Yufu ;

Wang, Xiao .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (06) :3357-3366

[8] Statistical convergence of complex uncertain triple sequence [J].

Das, Birojit ;

Tripathy, Binod Chandra ;

Debnath, Piyali ;

Bhattacharya, Baby .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (20) :7088-7100

[9] Convergence of Complex Uncertain Double Sequences [J].

Datta, Debasish ;

Tripathy, Binod Chandra .

NEW MATHEMATICS AND NATURAL COMPUTATION, 2020, 16 (03) :447-459

[10]

FREEDMAN AR, 1978, P LOND MATH SOC, V37, P508

← 1 2 3 4 →