On some results in intuitionistic fuzzy ideal convergence double sequence spaces

Khan, Vakeel A.; Ahmad, Mobeen; Fatima, Hira; Khan, Marufa Aziz

doi:10.1186/s13662-019-2306-y

Cited by 11 publications

(4 citation statements)

References 16 publications

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“…Fast [6] initiated the theory of statisitcal convergence which was further generalized by Kostyrko et al [17] to the notion of I -convergence with the help of ideal I, which is the subset of a set of the natural number N. Later on, I -convergence was studied in different types of spaces by several authors (see, [26,19,14,23,24,4,13,11,12]). Kizmaz [16] introduced the notion of difference sequence spaces, further Et and Ç olak [5], Tripathy and Esi [25] analyzed this space.…”

Section: Introductionmentioning

confidence: 99%

A new type of difference I-convergent sequence in IFnNS

2023

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In this paper, we introduce the notion of a generalized difference I-convergent (i.e.?m-I-convergent) and difference I-Cauchy (i.e.?m-I-Cauchy) sequence in intuitionistic fuzzy n-normed spaces. Further, we prove some results related to this notion. Also, we study the concepts of a generalized difference I+-convergent (i.e.?m-I+-convergent) sequence in intuitionistic fuzzy n-normed spaces and show the relation between them.

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Section: Introductionmentioning

confidence: 99%

A new type of difference I-convergent sequence in IFnNS

2023

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“…Kumar and Kumar [9] extended the theory of ideal convergence to apply to sequences of fuzzy numbers. Khan et al [10][11][12] studied the notion of J -convergence in intuitionistic fuzzy normed spaces. Subsequently, Hazarika [3] studied the concept of lacunary ideal convergent sequence of fuzzy real numbers.…”

Section: Introductionmentioning

confidence: 99%

A Study of Fuzzy Sequence Spaces

Khan¹,

Ahmad²,

Alam³

2022

Fuzzy Systems - Theory and Applications

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“…Mursaleen et al [7,8] investigated the statistical and ideal convergent in intuitionistic fuzzy topological space. Khan et al [10,11] studied the ideal convergent in intuitionistic fuzzy normed spaces defined by the bounded linear operator. Esi and Hazarika [4] examined the λ− ideal convergence in intuitionistic fuzzy 2-normed space.…”

Section: Introductionmentioning

confidence: 99%

sp− Closedness and sp − Convergent Sequences in Intuitionistic Fuzzy Metric Space

Khan

Ahmad

Khan

2021

Preprint

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The aim of present article is to introduce the concepts of sp– convergent sequence in intuitionistic fuzzy metric spaces and analyze relations of convergence, sp– convergence, s∞– convergence and st– convergence in intuitionistic fuzzy metric spaces. Further, we examine sp– convergence, s∞– convergence and st– convergence using the subsequence of convergent sequence in intuitionistic fuzzy metric spaces. Stationary intuitionistic fuzzy metric spaces are defined and investigated. We Finally define sp– closed sets, s∞– closed sets and st– closed sets in intuitionistic fuzzy metric spaces and investigate relations of them.

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On some results in intuitionistic fuzzy ideal convergence double sequence spaces

Cited by 11 publications

References 16 publications

A new type of difference I-convergent sequence in IFnNS

A new type of difference I-convergent sequence in IFnNS

A Study of Fuzzy Sequence Spaces

sp− Closedness and sp − Convergent Sequences in Intuitionistic Fuzzy Metric Space

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