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

Öz

Bu 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.

Anahtar Kelimeler

• Fuzzy sayı dizisi
• İstatistiksel yakınsaklık
• Lacunary istatistiksel yakınsaklık
• Fuzzy sayı dizisi
• Fuzzy dönüşüm dizisi.
• Fuzzy sayı dizisi, İstatistiksel yakınsaklık, Lacunary istatistiksel yakınsaklık, Fuzzy sayı dizisi, Fuzzy dönüşüm dizisi.

μ. Order Strong p-Lacunary Statistical Convergence of Fuzzy Function Mapping Sequences

Abstract

In this paper, we investigate the known concepts such as fuzzy set, fuzzy sequences and convergence and statistical convergence of fuzzy number sequences. Additionally, we define μ. order strong p-lacunary statistical convergence and μ. order the lacunary statistical convergence of the order of squences of fuzzy functions by using the definition of fuzzy function sequences and the concept of point convergence of sequences known in the literature. Then, we investigate the results about some coverage relations between the S_Φ^μ (f),N_Φ^μ (f) and N_(Φ,p)^μ (f) spaces and we present the relations between.

Keywords

• Fuzzy number sequence
• Statistical convergence
• Lacunary statistical convergence
• Fuzzy number sequence
• Fuzzy transformation sequence.
• Fuzzy number sequence, Statistical convergence, Lacunary statistical convergence, Fuzzy number sequence, Fuzzy transformation sequence.

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