$$\lambda $$ λ -Statistical convergence of fuzzy numbers and fuzzy functions of order $$\theta $$ θ

Srivastava, P. D.; Ojha, Sarita

doi:10.1007/s00500-013-1125-4

Cited by 12 publications

(4 citation statements)

References 12 publications

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“…For anyx,ŷ,ẑ,ŵ ∈ L(R), this Hausdorff metric d satisfies where the vertical bars indicate the number of elements in the enclosed set. This has been extended in case of fuzzy by several authors such as Nuray [10], Savas [11], Ojha and Srivastava [13] etc from several aspects. Recently, Gong et al [14] defined statistical convergence in measure for sequences of fuzzy functions and established Egorov and Lebesgue theorems in statistical sense.…”

Section: Preliminariesmentioning

confidence: 96%

Some characterizations on weighted $$\beta \gamma $$ β γ -statistical convergence of fuzzy functions of order $$\theta $$ θ

Ojha

Srivastava

2016

J. Appl. Math. Comput.

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Based on the concept of new type of statistical convergence defined by Aktuglu, we have introduced the weighted αβ -statistical convergence of order θ in case of fuzzy functions and classified it into pointwise, uniform and equi-statistical convergence. We have checked some basic properties and then the convergence are investigated in terms of their α-cuts. The interrelation among them are also established. We have also proved that continuity, boundedness etc are preserved in the equi-statistical sense under some suitable conditions, but not in pointwise sense.

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Section: Preliminariesmentioning

confidence: 96%

Some characterizations on weighted $$\beta \gamma $$ β γ -statistical convergence of fuzzy functions of order $$\theta $$ θ

Ojha

Srivastava

2016

J. Appl. Math. Comput.

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“…gives the class of fuzzy numbers which is λ -summable [17], λ -summable of order θ [3] and the class of λ -summable of order θ of fuzzy functions by [18].…”

Section: Definition 24 (Weighted Strong Cesaro Summability) [7]mentioning

confidence: 99%

Weighted βγ-summability of fuzzy functions of order θ

Ojha

Srivastava

2017

Filomat

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“…Daha sonra Altın, Et ve Tripathy [31] fuzzy dönüşüm dizilerinin istatistiksel yakınsaklık kavramını tanımlayarak, bu dizi uzayının cebirsel özelliklerini incelediler. Fuzzy dönüşüm dizileri pek çok yazar tarafından ( [34], [35], [36], [37]) çalışılmıştır.…”

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Fuzzy Fonksiyon Dönüşüm Dizilerinin μ. Dereceden Kuvvetli p-Lacunary İstatistiksel Yakınsaklığı

Karakaş¹,

GÜLOĞLU²

2021

European Journal of Science and Technology

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ÖzetBu çalışmada, fuzzy küme, fuzzy dizileri ve fuzzy sayı dizilerinin yakınsaklığı ve istatistiksel yakınsaklığı gibi bilinen kavramlar incelenerek, literatürde bilinen fuzzy fonksiyon dizilerinin tanımı ve dizilerin noktasal yakınsaklığı kavramı kullanılarak, fuzzy fonksiyon dizilerinin 𝜇. dereceden kuvvetli 𝑝 −lacunary istatistiksel yakınsaklık ile fuzzy fonksiyon dizilerinin 𝜇. dereceden lacunary istatistiksel yakınsaklık kavramları tanımlanarak 𝑆 Φ 𝜇 (𝑓), 𝑁 Φ 𝜇 (𝑓) ve 𝑁 Φ,𝑝 𝜇 (𝑓) uzayları arasında bazı kapsama bağıntıları ile ilgili sonuçlar elde edilerek bunlar arasındaki ilişkiler incelenmiştir.

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$$\lambda $$ λ -Statistical convergence of fuzzy numbers and fuzzy functions of order $$\theta $$ θ

Cited by 12 publications

References 12 publications

Some characterizations on weighted $$\beta \gamma $$ β γ -statistical convergence of fuzzy functions of order $$\theta $$ θ

Some characterizations on weighted $$\beta \gamma $$ β γ -statistical convergence of fuzzy functions of order $$\theta $$ θ

Weighted βγ-summability of fuzzy functions of order θ

Fuzzy Fonksiyon Dönüşüm Dizilerinin μ. Dereceden Kuvvetli p-Lacunary İstatistiksel Yakınsaklığı

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