An inequality related to Minkowski type for Sugeno integrals

Ouyang, Yao; Mesiar, Radko; Agahi, Hamzeh

doi:10.1016/j.ins.2010.03.018

Cited by 48 publications

(18 citation statements)

References 31 publications

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“…functions with values in a family of sets) has been studied by many authors (e.g. [3,[7][8][9][10][11][15][16][17][18]27,[30][31][32]). For (single-valued) real or vector functions f : T !…”

Section: Introductionmentioning

confidence: 99%

Convergences and topology via sequences of multifunctions

Croitoru

2014

Information Sciences

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Section: Introductionmentioning

confidence: 99%

Convergences and topology via sequences of multifunctions

Croitoru

2014

Information Sciences

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“…The study of inequalities for Sugeno integral was initiated by Román-Flores et al [32], and then followed by the authors [1,2,18,26,27,29]. In [10], a Chebyshev type inequality for a special case for Sugeno integral was obtained which has been generalized by Ouyang et al [27].…”

Section: Introductionmentioning

confidence: 99%

Generalizations of the Chebyshev-type inequality for Choquet-like expectation

Agahi

Mohammadpour

Mesiar

2013

Information Sciences

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“…The study of inequalities for Sugeno integral was initiated by Román-Flores et al [10,25], and then followed by some authors [1,[3][4][5]16,[19][20][21]. Recently, the authors generalized several classical inequalities, including Minkowski's and Chebyshev's inequalities, to the frame of Sugeno integral [1,4,20].…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the authors generalized several classical inequalities, including Minkowski's and Chebyshev's inequalities, to the frame of Sugeno integral [1,4,20]. Therefore, it would be an interesting topic to generalize an inequality from the frame of Sugeno integral to some integrals which contains Sugeno integral as special cases, such as it was done in [6,18].…”

Section: Introductionmentioning

confidence: 99%

On Non-additive Probabilistic Inequalities of Hölder-type

et al. 2011

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Non-additive measure is a generalization of additive probability measure. Integral inequalities play important roles in classical probability and measure theory. Some well-known inequalities such as the Minkowski inequality and the Hölder inequality play important roles not only in the theoretical area but also in application. Non-additive integrals are useful tools in several theoretical and applied statistics which have been built on non-additive measure. For instance, in decision theory and applied statistics, the use of the non-additive integrals can be envisaged from two points of view: decision under uncertainty and multi-criteria decision-making. In fact, the non-additive integrals provide useful tools in many problems in engineering and social choice where the aggregation of data is required. In this paper, Hölder and Minkowski type inequalities for semi(co)normed non-additive integrals are discussed. The main results of this paper generalize some previous results obtained by the authors. Mathematics Subject Classification (2000). Primary 99Z99; Secondary 00A00.

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An inequality related to Minkowski type for Sugeno integrals

Cited by 48 publications

References 31 publications

Convergences and topology via sequences of multifunctions

Convergences and topology via sequences of multifunctions

Generalizations of the Chebyshev-type inequality for Choquet-like expectation

On Non-additive Probabilistic Inequalities of Hölder-type

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