A general inequality of Chebyshev type for semi(co)normed fuzzy integrals

Agahi, Hamzeh; Eslami, Esfandiar

doi:10.1007/s00500-010-0621-z

Cited by 5 publications

(2 citation statements)

References 35 publications

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“…It was also used to prove the weak law of large numbers. [26] In terms of data analysis, it was also known as Markov's inequality. They are closely related to each other.…”

Section: Design Of Fuzzy Controllermentioning

confidence: 99%

Prevention of DDoS Attack in Cloud Computing using Fuzzy Q – Learning Algorithm

Kumar¹,

Dutta²,

Pranav³

2022

Preprint

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Cloud computing technology created a revolution in IT Industry that provides on-demand resources, flexibility, scalability, and lower maintenance to infrastructure costs. Distributed Denial of Service (DDoS) attack blocks the services by flooding high or low volume of malicious traffic to exhaust the servers, resources, etc of cloud. In today’s era, they are even difficult to detect because of low rate traffic and its hidden approach in cloud. The study of all DDoS attack with their possible solution is essential to protect cloud computing environment. In this paper, we have proposed a Fuzzy Q Learning algorithm and Chebyshev’s Inequality principle to counter the problem of DDoS attacks. The Proposed framework follows the inclusion of Chebyshew’s inequality for work load prediction in cloud in the analysis phase and fuzzy QLearning in planning phase .Experimental results proves that in our proposed FQBDDA model, prevent DDoS attack.

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“…It was also used to prove the weak law of large numbers. [26] In terms of data analysis, it was also known as Markov's inequality. They are closely related to each other.…”

Section: Design Of Fuzzy Controllermentioning

confidence: 99%

Prevention of DDoS Attack in Cloud Computing using Fuzzy Q – Learning Algorithm

Kumar¹,

Dutta²,

Pranav³

2022

Preprint

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“…Agahi et al (2010aAgahi et al ( , b, 2011Agahi et al ( , 2012a and Agahi and Eslami (2011) proved general Minkowski-type inequalities, general extensions of Chebyshev-type inequalities and general Barnes-Godunova-Levin-type inequalities for Sugeno integrals. Caballero and Sadarangani (2009, b, c, 2011 proved Hermite-Hadamard-type inequalities, Chebyshevtype inequalities, Cauchy and Fritz Carlson's type inequalities for Sugeno integral.…”

Section: Introductionmentioning

confidence: 96%

A Hadamard-type inequality for fuzzy integrals based on r-convex functions

Abbaszadeh

Eshaghi

2015

Soft Comput

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In this paper, it is shown that the Hadamard integral inequality for r -convex functions is not satisfied in the fuzzy context. Using the classical Hadamard integral inequality, we give an upper bound for the Sugeno integral of r -convex functions. In addition, we generalize the results related to the Hadamard integral inequality for Sugeno integral from 1-convex functions (ordinary convex functions) to r -convex functions. We present a geometric interpretation and some examples in the framework of the Lebesgue measure to illustrate the results.

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