Fuzzy p-Absolutely Summable Difference Sequences

被引：0

作者：

Dutta, Hemen ^{[1
]}

Kilicman, Adem ^{[2
,3
]}

Esi, Ayhan ^{[4
]}

机构：

[1] Gauhati Univ, Dept Math, Gauhati 781014, India

[2] Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia

[3] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia

[4] Adiyaman Univ, Dept Math, Adiyaman, Turkey

来源：

NEW MATHEMATICS AND NATURAL COMPUTATION | 2018年 / 14卷 / 02期

关键词：

p-absolutely summable; fuzzy number; difference sequence; fuzzy metric; fuzzy symmetricity;

D O I：

10.1142/S179300571850014X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we introduce the notion of p-absolutely summability of difference sequences of fuzzy numbers and then reduce the concept of p-absolutely summable sequences of fuzzy numbers. We discuss the sets of such sequences of fuzzy numbers under different fuzzy metrics. We also establish the completeness under suitable metric. Examples along with suitable explanation are incorporated to make the theory of this paper interesting and useful. Finally, the concepts of fuzzy solidity and fuzzy symmetricity are defined and the classes for these two properties are examined as well.

引用

页码：221 / 233

页数：13

共 50 条

[21] P-ABSOLUTELY NEMMABLE OPERATORS ON L1 (MU)
POPA, N
ARCHIV DER MATHEMATIK, 1978, 30 (01) : 62 - 66
[22] On the Gamma Spaces Including the Spaces of Absolutely p-Summable, Null, Convergent and Bounded Sequences
Roopaei, Hadi
Basar, Feyzi
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2022, 43 (06) : 723 - 754
[23] P-ABSOLUTELY SUMMING OPERATORS AND REPRESENTATION OF OPERATORS ON FUNCTION SPACES
RICE, JW
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 188 (02) : 53 - 75
[24] ON GENERALIZED FIBONACCI DIFFERENCE SPACE DERIVED FROM THE ABSOLUTELY p- SUMMABLE SEQUENCE SPACES
Kilinc, Gulsen
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2019, 34 (05): : 903 - 925
[25] The classes of strongly VλF(A, p)-summable sequences of fuzzy numbers
Esi, Ayhan
NEW YORK JOURNAL OF MATHEMATICS, 2010, 16 : 13 - 21
[26] On the space of p-summable difference sequences of order m, (1 ≤ p < ∞)
Altay, Bilal
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2006, 43 (04) : 387 - 402
[27] Convergence of Series of Fourier Coefficients of p-Absolutely Continuous Functions
S. S. Volosivets
Analysis Mathematica, 2000, 26 (1) : 63 - 80
[28] On strongly λ-summable sequences of fuzzy numbers
Savas, E
INFORMATION SCIENCES, 2000, 125 (1-4) : 181 - 186
[29] ON LACUNARY p- ABSOLUTELY SUMMABLE FUZZY REAL-VALUED DOUBLE SEQUENCE SPACE
Dutta, Amar Jyoti
Esi, Ayhan
Tripathy, Binod Chandra
DEMONSTRATIO MATHEMATICA, 2014, 47 (03) : 652 - 661
[30] P-ABSOLUTELY SUMMING OPERATORS AND REPRESENTATION OF OPERATORS ON FUNCTION SPACES
RICE, JW
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (04): : A518 - &

← 1 2 3 4 5 →