General related inequalities to Carlson-type inequality for the Sugeno integral

Daraby, Bayaz; Asll, Hassan Ghazanfary; Sadeqi, Ildar

doi:10.1016/j.amc.2017.02.005

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Cited by 7 publications

(6 citation statements)

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“…Daraby et. al.,in [3,4,5,6,7] studied and generalized some other inequalities for the Fuzzy and Pseudo integrals, for example, he stated and proved [2] the Stolarsky type of inequality for Pseudo integrals as it follows:…”

Section: Introductionmentioning

confidence: 99%

Diaz-Metcalf Type Inequality for Sugeno and Pseudo Integrals

Karimzadeha¹,

Darabyb²,

Rahimic³

2022

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Section: Introductionmentioning

confidence: 99%

Diaz-Metcalf Type Inequality for Sugeno and Pseudo Integrals

Karimzadeha¹,

Darabyb²,

Rahimic³

2022

Preprint

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“…The study of fuzzy integral is first attributed to Román-Flores et al Many inequalities such as Markov's, Chebyshev's, Jensen's, Minkowski's, Hölder's and Hardy's inequalities have been studied by Flores-Franulič and Román-Flores for Sugeno integral (see [4,5] and their references). Recently, in [3], B. Daraby et al studied some inequalties for Sugeno integral.…”

Section: Introductionmentioning

confidence: 99%

Pólya-Knopp and Hardy-Knopp type inequalities for Sugeno integral

Daraby¹,

Rostampour²,

Khodadadi³

et al. 2019

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In this paper, we investigate the Pólya-Knopp type inequality for Sugeno integrals in two cases. In the first case, we suppose that the inner integral is the standard Riemann integral and the remaining two integrals are of Sugeno type. In the second case, all involved integrals are Sugeno integral. We present several examples illustrating the validity of our theorems. Finally, we prove a Hardy-Knopp type inequality for Sugeno integral.

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“…In connection with the topics that will be discussed in this article, there are several other theoretical and applied papers related to fuzzy measure theory on metric spaces, such as Li et al [8,9] and Narukawa et al [10]. Many authors generalized the Sugeno integral by using some other operators to replace the special operator(s) ∧ and/or ∨ (see, e.g., [1,2,3,4,6,8,18]). Suárez and GilÁlvarez presented two families of fuzzy integrals, the so-called seminormed fuzzy integrals and semiconormed fuzzy integrals [15].…”

Section: Introductionmentioning

confidence: 99%