Invariant convergent and invariant ideal convergent sequence in intuitionistic fuzzy normed space

被引：0
|
作者：
Khan, Vakeel A. [1 ]
Khan, Izhar Ali [1 ]
Esi, Ayhan [2 ]
Alam, Masood [3 ,4 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India
[2] Malatya Turgut Ozal Univ, Dept Basic Engn Sci Math Sect, Engn Fac, TR-44040 Malatya, Turkey
[3] Sultan Qaboos Univ, Dept Math, Seeb, Oman
[4] Sultan Qaboos Univ, IT Ctr Preparatory Studies, Seeb, Oman
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2022年 / 43卷 / 01期
关键词：
Intuitionistic fuzzy normed space; Ideal convergent; Invariant mean; STATISTICAL CONVERGENCE;
D O I：
10.3233/JIFS-213327
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The main purpose of this paper is to introduce invariant convergence in intuitionistic fuzzy normed space. Following which we present some characteristics of this notion with respect to intuitionistic fuzzy norm. We also define strongly invariant convergence, ideal invariant convergence and invariant ideal convergence in intuitionistic fuzzy normed space. After that, we establish the relationship between these notions with respect to intuitionistic fuzzy norm. Lastly, we define ideal invariant Cauchy and invariant ideal Cauchy criteria for sequences in intuitionistic fuzzy normed space and relate it to their convergence notion.
引用
收藏
页码：1429 / 1438
页数：10
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