On deferred I-statistical rough convergence of difference sequences in intuitionistic fuzzy normed spaces

被引:1
|
作者
Khan, Vakeel A. [1 ]
Rahaman, S. K. Ashadul [1 ]
Hazarika, Bipan [2 ]
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India
[2] Gauhati Univ, Dept Math, Gauhati 781014, Assam, India
关键词
Intuitionistic fuzzy normed space; difference sequences; deferred statistical convergence; I-convergence; deferred I-statistical convergence; rough convergence;
D O I
10.2298/FIL2418333K
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this research article, using the concepts of deferred density and the notion of the ideal I, we extend the idea of rough convergence by introducing the notion of deferred I-statistical rough convergence via difference operators in the framework of intuitionistic fuzzy normed spaces. We define a set of limits of this convergence and prove that the limit set is convex and closed with respect to the intuitionistic fuzzy norm. Furthermore, we develop the concept of deferred I-statistical triangle jr-cluster point of a sequence in intuitionistic fuzzy normed spaces and investigate the relations between the set of these cluster points and the limit set of the aforementioned convergence.
引用
收藏
页码:6333 / 6354
页数:22
相关论文
共 50 条
  • [1] On rough deferred statistical convergence of difference sequences in L-fuzzy normed spaces
    Rahaman, S. K. Ashadul
    Mursaleen, M.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 530 (02)
  • [2] Rough Statistical Convergence in Intuitionistic Fuzzy Normed Spaces
    Antal, Reena
    Chawla, Meenakshi
    Kumar, Vijay
    FILOMAT, 2021, 35 (13) : 4405 - 4416
  • [3] ROUGH IDEAL STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES ON INTUITIONISTIC FUZZY NORMED SPACES
    Antal, Reena
    Chawla, Meenakshi
    Kaur, Manpreet
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2024, 25 (09) : 2203 - 2213
  • [4] ON I-STATISTICAL CONVERGENCE OF SEQUENCES IN GRADUAL NORMED LINEAR SPACES
    Choudhury, Chiranjib
    Debnath, Shyamal
    MATEMATICKI VESNIK, 2022, 74 (03): : 218 - 228
  • [5] ROUGH IDEAL CONVERGENCE OF DOUBLE SEQUENCES IN INTUITIONISTIC FUZZY NORMED SPACES
    Mondal, Rahul
    Hossain, Nesar
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2024, 39 (03): : 411 - 426
  • [6] Statistical convergence of double sequences on intuitionistic fuzzy normed spaces
    Karakus, Sevda
    Demirci, Kamil
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2008, 10 (03) : 377 - 389
  • [7] ROUGH I-CONVERGENCE IN INTUITIONISTIC FUZZY NORMED SPACES
    Hossain, Nesar
    Banerjee, Amar Kumar
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 14 (04): : 1 - 10
  • [8] ROUGH STATISTICAL CONVERGENCE OF DIFFERENCE DOUBLE SEQUENCES IN NORMED LINEAR SPACES
    Kisi, Omer
    Unal, Hatice Kubra
    HONAM MATHEMATICAL JOURNAL, 2021, 43 (01): : 47 - 58
  • [9] On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces
    Debnath, Shyamal
    Debnath, Santonu
    Choudhury, Chiranjib
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2022, 19 (04): : 81 - 96
  • [10] ROUGH ΔI-STATISTICAL CONVERGENCE
    Kisi, Omer
    Dundar, Erdinc
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2022, 40 (3-4): : 619 - 632