Remark on lacunary statistical convergence of fuzzy numbers

Kwon, Joong Sung; Shim, Hong Tae

doi:10.1016/s0165-0114(00)00089-0

Cited by 30 publications

(26 citation statements)

References 9 publications

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“…Later on, it was further investigated from the sequence space point of view and linked with summability theory by Fridy (1985), Salat (1980), Connor (1999) and many others. This concept extends the idea to apply to sequences of fuzzy numbers with Kwon and Shim (2001), Et et al (2005), Nuray and Savaş (1995) and many others. Savaş (2006) defined almost convergence for fuzzy numbers as follows:…”

Section: L(r)mentioning

confidence: 78%

<b>On almost λ- statistical convergence of fuzzy numbers</b> - doi: 10.4025/actascitechnol.v36i1.16218

Eşi

Açıkgöz

2013

Acta Sci. Technol.

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ABSTRACT. The purpose of this paper is to introduce the concepts of almost λ-statistical convergence and strongly almost λ-convergence of fuzzy numbers. We obtain some results related to these concepts. It is also shown that almost λ-statistical convergence and strongly almost λ-convergence are equivalent for almost bounded sequences of fuzzy numbers.Keywords: fuzzy number, de la Vallee-Poussin mean, statistical convergence.Sobre a convergência λ-quase estatística de números difusos RESUMO. Essa pesquisa introduz os conceitos de convergência λ-quase estatística e forte convergência λ-quase estatística de números difusos. Alguns resultados foram obtidos com tais conceitos. Mostra-se que conceitos de convergência λ-quase estatística e forte convergência λ-quase estatística equivalem a quase sequências limitadas de números difusos.Palavras-chave: números difusos, medias de de la Vallee-Poussin, convergência estatística.

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Section: L(r)mentioning

confidence: 78%

<b>On almost λ- statistical convergence of fuzzy numbers</b> - doi: 10.4025/actascitechnol.v36i1.16218

Eşi

Açıkgöz

2013

Acta Sci. Technol.

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show abstract

“…Later on, it was further investigated from the sequence space point of view and linked with summability theory by Fridy (1985), Salat (1980), Connor (1988), and many others. This concept extends the idea to apply to sequences of fuzzy numbers with Kwon and Shim (2001), Et et al (2005), Nuray and Savas (1995), and many others.…”

Section: Definition 211mentioning

confidence: 89%

The ∫ 𝚪𝟐𝝀𝑰 statistical convergence of real numbers over Musielak 𝒑-metric space

Özdemir

Nagarajan

Eşi

2017

Int. j. adv. appl. sci

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In this paper, we introduce the concepts of ∫ Γ 2 statistical convergence and strongly ∫ Γ 2 of real numbers. It is also shown that Γ 2 statistical convergence and strongly ∫ Γ 2 are equivalent for analytic sequences of real numbers. We introduce certain new double sequence spaces of ∫ Γ 2 of fuzzy real numbers defined by − convergence using sequences of Musielak-Orlicz functions and also study some basic topological and algebraic properties of these spaces, investigate the inclusion relations between these spaces.

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“…Some important classes of sequences of fuzzy real numbers have been introduced and studied by Kwon [5], Savas and Patterson [6], Talo and Basar [12], Tripathy and Dutta ([13], [15]) and some others.…”

Section: Definitionmentioning

confidence: 99%