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A New Kind of Fuzzy Riemann-Stieltjes Integral

2006 International Conference on Machine Learning and Cybernetics, 2006
In this paper, we define a new kind of fuzzy Riemann-Stieltjes integral of fuzzy-number-valued functions directly; discuss properties of the integral, present a necessary and sufficient condition of integrability and obtain an existence theorem.
Xue-kun Ren, Cong-xin Wu, Zhi-gang Zhu
exaly   +2 more sources

Calculus of linear fuzzy-number-valued functions using the generalized derivative and the Riemann integral of fuzzy n-cell-number-valued functions

Fuzzy Sets and Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shexiang Hai, Zengtai Gong
exaly   +2 more sources

Mean-square Riemann–Stieltjes integrals of fuzzy stochastic processes and their applications

Fuzzy Sets and Systems, 2000
The author studies a stochastic process \(X(t)\) with values in the space of upper semicontinuous \([0,1]\)-valued functions \(u\) on the Euclidean space that have maximum at \(1\), satisfy \(u(tx+ (1- t)y)\geq \min(u(x), u(y))\) for all \(x\), \(y\) from the domain of definition and \(t\in[0, 1]\), and such that \(\{x: u(x)> 0\}\) has a compact ...
exaly   +2 more sources

Tauberian theorems for weighted mean summability method of improper Riemann integrals of fuzzy-number-valued functions

Soft Computing, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cemal Belen
exaly   +2 more sources

Fuzzy Riemann Integral via Interactivity

2025 IEEE International Conference on Fuzzy Systems (FUZZ)
Estevão Esmi
exaly   +2 more sources

On Riemann-Stieltjes type integral of fuzzy-valued functions

Proceedings of 2004 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.04EX826), 2005
There are close relationship between fuzzy-valued functions and fuzzy neural nets. We introduce the concept of RSu integral of fuzzy-valued functions. This generalizes the integral introduced by Nanda and also extends RSu integral on a closed interval to fuzzy mapping. In addition we further discuss the relations between the integral introduced And the
null Chong Wu, null Cong-Xin Wu
openaire   +1 more source

The Fuzzy Riemann-Stieltjes Integral

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1998
In the classcial sense, the expectation is sometimes defined as Riemann-Stieltjes integral. In this paper, we propose the concept of fuzzy Riemann-Stieltjes integral to make the expectation of fuzzy random variable applicable to statistical analysis for imprecise data.
openaire   +2 more sources

Application of Riemann-Liouville fractional integral to fuzzy differential subordination of analytic univalent functions

Studia Universitatis Babes-Bolyai Matematica
The fuzzy differential subordinations of analytic functions linked with the RiemannLiouville fractional integral to the linear combination of the Pascal and Catas operators are determined in this article. In addition, we derive properties of fuzzy differential subordination and define a new fuzzy class.
Sarika K. Nilapgol   +2 more
openaire   +1 more source

FUZZY DIFFERENTIAL SUBORDINATION OF ANALYTIC UNIVALENT FUNCTIONS INVOLVING RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR

jnanabha
In this present article, we establish some fuzzy differential subordinations of analytic functions that are connected with the Riemann-Liouville fractional integral to the linear combination of a novel integral operator and multiplier transformation.
Girish D. Shelake   +2 more
openaire   +1 more source

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