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
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.
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页码:221 / 233
页数:13
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