On the convergence of uncertain sequences

You, Cuilian

doi:10.1016/j.mcm.2008.07.007

Cited by 111 publications

(46 citation statements)

References 11 publications

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“…Nowadays, uncertainty theory has become a branch of mathematics for modeling human uncertainty. The uncertain theory introduced by Liu 10 has extensively been studied by Chen et al, 1 Liu, 5, 6 Peng, 13 You 20 and others.…”

Section: Introductionmentioning

confidence: 99%

Statistical Convergence of Complex Uncertain Sequences

Tripathy

Nath

2017

New Math. and Nat. Computation

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Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the statistical convergence concepts of complex uncertain sequences: statistical convergence almost surely (a.s.), statistical convergence in measure, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely (u.a.s.) In addition, decomposition theorems and relationships among them are discussed.

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Section: Introductionmentioning

confidence: 99%

Statistical Convergence of Complex Uncertain Sequences

Tripathy

Nath

2017

New Math. and Nat. Computation

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“…Since sequence convergence is a useful tool in the fundamental theory of mathematics, some definitions of sequences convergence of uncertain sequences were proposed by Liu [1] and You [11]. The Cauchy convergence of uncertain sequences and the sufficient conditions of convergence almost surely were presented by Xia [12].…”

Section: Introductionmentioning

confidence: 99%

“…Chen et al [18] introduced the convergence concepts of complex uncertain sequence. In addition, You and Yan [19] gave a new concept of sequence convergence for uncertain variables that is convergence in p-distance; then the relationships among concepts of convergence for uncertain variables sequences were studied by You and Yan [20] in 2016.…”

Section: Introductionmentioning

confidence: 99%

Convergence Properties for Uncertain Sequence

You

Yan

2017

Mathematical Problems in Engineering

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“…Thereafter, a lot of explorations were undertaken. For example, You (2009) researched the convergence of uncertain sequences in 2009. For studying dynamic uncertain events, the concept of uncertain process was initiated by Liu (2008).…”

Section: Introductionmentioning

confidence: 99%

Some Properties of Complex Uncertain Process

You¹,

Na²

2016

Industrial Engineering and Management Systems

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Uncertainty appears not only in real quantities but also in complex quantities. Complex uncertain process is essentially a sequence of complex uncertain variables indexed by time. In order to describe complex uncertain process, a formal definition of complex uncertain distribution is given in this paper, as well as the concepts of independence and variance. In addition, some properties of complex uncertain integral are presented.

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On the convergence of uncertain sequences

Cited by 111 publications

References 11 publications

Statistical Convergence of Complex Uncertain Sequences

Statistical Convergence of Complex Uncertain Sequences

Convergence Properties for Uncertain Sequence

Some Properties of Complex Uncertain Process

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